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-
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- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación 3*x-6=x+4
-
Ecuación 9-7(x+3)=5-6x
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- Integral de d{x}:
- 0,3
- Suma de la serie:
-
0,3
-
Expresiones idénticas
- exp(x* diez ^- seis * dos mil novecientos cuatro)= cero , tres
- exponente de (x multiplicar por 10 en el grado menos 6 multiplicar por 2904) es igual a 0,3
- exponente de (x multiplicar por diez en el grado menos seis multiplicar por dos mil novecientos cuatro) es igual a cero , tres
- exp(x*10-6*2904)=0,3
- expx*10-6*2904=0,3
- exp(x10^-62904)=0,3
- exp(x10-62904)=0,3
- expx10-62904=0,3
- expx10^-62904=0,3
- exp(x*10^-6*2904)=O,3
-
Expresiones semejantes
- exp(x*10^+6*2904)=0,3
-
Expresiones con funciones
- Exponente exp
- exp(45*x)=48/252
- exp(-0.1464)-k*(-0.1464)-(exp(-0.8536)-k*(-0.8536))=0
- exp(z)=(z-2)/(z-1)
- exp(x)+3*(x-1)^3-1=0
- exp(x+iy)=-3
exp(x*10^-6*2904)=0,3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación:
$$e^{2904 \cdot 1 \cdot 10^{-6} x} = \frac{3}{10}$$
o
$$e^{2904 \cdot 1 \cdot 10^{-6} x} - \frac{3}{10} = 0$$
o
$$1.00290822069264^{x} = \frac{3}{10}$$
o
$$1.00290822069264^{x} = \frac{3}{10}$$
- es la ecuación exponencial más simple
Sustituimos
$$v = 1.00290822069264^{x}$$
obtendremos
$$v - \frac{3}{10} = 0$$
o
$$v - \frac{3}{10} = 0$$
Transportamos los términos libres (sin v)
del miembro izquierdo al derecho, obtenemos:
$$v = \frac{3}{10}$$
Obtenemos la respuesta: v = 3/10
hacemos cambio inverso
$$1.00290822069264^{x} = v$$
o
$$x = 344.352617079882 \log{\left(v \right)}$$
Entonces la respuesta definitiva es
$$x_{1} = \frac{\log{\left(\frac{3}{10} \right)}}{\log{\left(1.00290822069264 \right)}} = -414.591186062641$$
$$e^{2904 \cdot 1 \cdot 10^{-6} x} = \frac{3}{10}$$
o
$$e^{2904 \cdot 1 \cdot 10^{-6} x} - \frac{3}{10} = 0$$
o
$$1.00290822069264^{x} = \frac{3}{10}$$
o
$$1.00290822069264^{x} = \frac{3}{10}$$
- es la ecuación exponencial más simple
Sustituimos
$$v = 1.00290822069264^{x}$$
obtendremos
$$v - \frac{3}{10} = 0$$
o
$$v - \frac{3}{10} = 0$$
Transportamos los términos libres (sin v)
del miembro izquierdo al derecho, obtenemos:
$$v = \frac{3}{10}$$
Obtenemos la respuesta: v = 3/10
hacemos cambio inverso
$$1.00290822069264^{x} = v$$
o
$$x = 344.352617079882 \log{\left(v \right)}$$
Entonces la respuesta definitiva es
$$x_{1} = \frac{\log{\left(\frac{3}{10} \right)}}{\log{\left(1.00290822069264 \right)}} = -414.591186062641$$
Respuesta numérica
[src]
x1 = -414.59118606265
x2 = -414.59118606265 - 391617.266046662*i
x3 = -414.59118606265 - 389453.634742536*i
x4 = -414.59118606265 - 387290.003438411*i
x5 = -414.59118606265 - 385126.372134286*i
x6 = -414.59118606265 - 382962.740830161*i
x7 = -414.59118606265 - 380799.109526036*i
x8 = -414.59118606265 - 378635.47822191*i
x9 = -414.59118606265 - 376471.846917785*i
x10 = -414.59118606265 - 374308.21561366*i
x11 = -414.59118606265 - 372144.584309535*i
x12 = -414.59118606265 - 369980.95300541*i
x13 = -414.59118606265 - 367817.321701284*i
x14 = -414.59118606265 - 365653.690397159*i
x15 = -414.59118606265 - 363490.059093034*i
x16 = -414.59118606265 - 361326.427788909*i
x17 = -414.59118606265 - 359162.796484784*i
x18 = -414.59118606265 - 356999.165180658*i
x19 = -414.59118606265 - 354835.533876533*i
x20 = -414.59118606265 - 352671.902572408*i
x21 = -414.59118606265 - 350508.271268283*i
x22 = -414.59118606265 - 348344.639964158*i
x23 = -414.59118606265 - 346181.008660032*i
x24 = -414.59118606265 - 344017.377355907*i
x25 = -414.59118606265 - 341853.746051782*i
x26 = -414.59118606265 - 339690.114747657*i
x27 = -414.59118606265 - 337526.483443531*i
x28 = -414.59118606265 - 335362.852139406*i
x29 = -414.59118606265 - 333199.220835281*i
x30 = -414.59118606265 - 331035.589531156*i
x31 = -414.59118606265 - 328871.958227031*i
x32 = -414.59118606265 - 326708.326922906*i
x33 = -414.59118606265 - 324544.69561878*i
x34 = -414.59118606265 - 322381.064314655*i
x35 = -414.59118606265 - 320217.43301053*i
x36 = -414.59118606265 - 318053.801706405*i
x37 = -414.59118606265 - 315890.170402279*i
x38 = -414.59118606265 - 313726.539098154*i
x39 = -414.59118606265 - 311562.907794029*i
x40 = -414.59118606265 - 309399.276489904*i
x41 = -414.59118606265 - 307235.645185779*i
x42 = -414.59118606265 - 305072.013881653*i
x43 = -414.59118606265 - 302908.382577528*i
x44 = -414.59118606265 - 300744.751273403*i
x45 = -414.59118606265 - 298581.119969278*i
x46 = -414.59118606265 - 296417.488665153*i
x47 = -414.59118606265 - 294253.857361027*i
x48 = -414.59118606265 - 292090.226056902*i
x49 = -414.59118606265 - 289926.594752777*i
x50 = -414.59118606265 - 287762.963448652*i
x51 = -414.59118606265 - 285599.332144527*i
x52 = -414.59118606265 - 283435.700840401*i
x53 = -414.59118606265 - 281272.069536276*i
x54 = -414.59118606265 - 279108.438232151*i
x55 = -414.59118606265 - 276944.806928026*i
x56 = -414.59118606265 - 274781.175623901*i
x57 = -414.59118606265 - 272617.544319775*i
x58 = -414.59118606265 - 270453.91301565*i
x59 = -414.59118606265 - 268290.281711525*i
x60 = -414.59118606265 - 266126.6504074*i
x61 = -414.59118606265 - 263963.019103275*i
x62 = -414.59118606265 - 261799.387799149*i
x63 = -414.59118606265 - 259635.756495024*i
x64 = -414.59118606265 - 257472.125190899*i
x65 = -414.59118606265 - 255308.493886774*i
x66 = -414.59118606265 - 253144.862582649*i
x67 = -414.59118606265 - 250981.231278523*i
x68 = -414.59118606265 - 248817.599974398*i
x69 = -414.59118606265 - 246653.968670273*i
x70 = -414.59118606265 - 244490.337366148*i
x71 = -414.59118606265 - 242326.706062023*i
x72 = -414.59118606265 - 240163.074757897*i
x73 = -414.59118606265 - 237999.443453772*i
x74 = -414.59118606265 - 235835.812149647*i
x75 = -414.59118606265 - 233672.180845522*i
x76 = -414.59118606265 - 231508.549541397*i
x77 = -414.59118606265 - 229344.918237271*i
x78 = -414.59118606265 - 227181.286933146*i
x79 = -414.59118606265 - 225017.655629021*i
x80 = -414.59118606265 - 222854.024324896*i
x81 = -414.59118606265 - 220690.393020771*i
x82 = -414.59118606265 - 218526.761716645*i
x83 = -414.59118606265 - 216363.13041252*i
x84 = -414.59118606265 - 214199.499108395*i
x85 = -414.59118606265 - 212035.86780427*i
x86 = -414.59118606265 - 209872.236500145*i
x87 = -414.59118606265 - 207708.605196019*i
x88 = -414.59118606265 - 205544.973891894*i
x89 = -414.59118606265 - 203381.342587769*i
x90 = -414.59118606265 - 201217.711283644*i
x91 = -414.59118606265 - 199054.079979519*i
x92 = -414.59118606265 - 196890.448675393*i
x93 = -414.59118606265 - 194726.817371268*i
x94 = -414.59118606265 - 192563.186067143*i
x95 = -414.59118606265 - 190399.554763018*i
x96 = -414.59118606265 - 188235.923458893*i
x97 = -414.59118606265 - 186072.292154767*i
x98 = -414.59118606265 - 183908.660850642*i
x99 = -414.59118606265 - 181745.029546517*i
x100 = -414.59118606265 - 179581.398242392*i
x101 = -414.59118606265 - 177417.766938267*i
x102 = -414.59118606265 - 175254.135634141*i
x103 = -414.59118606265 - 173090.504330016*i
x104 = -414.59118606265 - 170926.873025891*i
x105 = -414.59118606265 - 168763.241721766*i
x106 = -414.59118606265 - 166599.610417641*i
x107 = -414.59118606265 - 164435.979113515*i
x108 = -414.59118606265 - 162272.34780939*i
x109 = -414.59118606265 - 160108.716505265*i
x110 = -414.59118606265 - 157945.08520114*i
x111 = -414.59118606265 - 155781.453897015*i
x112 = -414.59118606265 - 153617.822592889*i
x113 = -414.59118606265 - 151454.191288764*i
x114 = -414.59118606265 - 149290.559984639*i
x115 = -414.59118606265 - 147126.928680514*i
x116 = -414.59118606265 - 144963.297376389*i
x117 = -414.59118606265 - 142799.666072263*i
x118 = -414.59118606265 - 140636.034768138*i
x119 = -414.59118606265 - 138472.403464013*i
x120 = -414.59118606265 - 136308.772159888*i
x121 = -414.59118606265 - 134145.140855763*i
x122 = -414.59118606265 - 131981.509551637*i
x123 = -414.59118606265 - 129817.878247512*i
x124 = -414.59118606265 - 127654.246943387*i
x125 = -414.59118606265 - 125490.615639262*i
x126 = -414.59118606265 - 123326.984335137*i
x127 = -414.59118606265 - 121163.353031011*i
x128 = -414.59118606265 - 118999.721726886*i
x129 = -414.59118606265 - 116836.090422761*i
x130 = -414.59118606265 - 114672.459118636*i
x131 = -414.59118606265 - 112508.82781451*i
x132 = -414.59118606265 - 110345.196510385*i
x133 = -414.59118606265 - 108181.56520626*i
x134 = -414.59118606265 - 106017.933902135*i
x135 = -414.59118606265 - 103854.30259801*i
x136 = -414.59118606265 - 101690.671293884*i
x137 = -414.59118606265 - 99527.0399897593*i
x138 = -414.59118606265 - 97363.4086856341*i
x139 = -414.59118606265 - 95199.7773815089*i
x140 = -414.59118606265 - 93036.1460773837*i
x141 = -414.59118606265 - 90872.5147732585*i
x142 = -414.59118606265 - 88708.8834691333*i
x143 = -414.59118606265 - 86545.2521650081*i
x144 = -414.59118606265 - 84381.6208608829*i
x145 = -414.59118606265 - 82217.9895567577*i
x146 = -414.59118606265 - 80054.3582526325*i
x147 = -414.59118606265 - 77890.7269485073*i
x148 = -414.59118606265 - 75727.0956443821*i
x149 = -414.59118606265 - 73563.4643402569*i
x150 = -414.59118606265 - 71399.8330361317*i
x151 = -414.59118606265 - 69236.2017320065*i
x152 = -414.59118606265 - 67072.5704278813*i
x153 = -414.59118606265 - 64908.9391237561*i
x154 = -414.59118606265 - 62745.3078196309*i
x155 = -414.59118606265 - 60581.6765155057*i
x156 = -414.59118606265 - 58418.0452113804*i
x157 = -414.59118606265 - 56254.4139072552*i
x158 = -414.59118606265 - 54090.7826031301*i
x159 = -414.59118606265 - 51927.1512990049*i
x160 = -414.59118606265 - 49763.5199948796*i
x161 = -414.59118606265 - 47599.8886907544*i
x162 = -414.59118606265 - 45436.2573866292*i
x163 = -414.59118606265 - 43272.626082504*i
x164 = -414.59118606265 - 41108.9947783788*i
x165 = -414.59118606265 - 38945.3634742536*i
x166 = -414.59118606265 - 36781.7321701284*i
x167 = -414.59118606265 - 34618.1008660032*i
x168 = -414.59118606265 - 32454.469561878*i
x169 = -414.59118606265 - 30290.8382577528*i
x170 = -414.59118606265 - 28127.2069536276*i
x171 = -414.59118606265 - 25963.5756495024*i
x172 = -414.59118606265 - 23799.9443453772*i
x173 = -414.59118606265 - 21636.313041252*i
x174 = -414.59118606265 - 19472.6817371268*i
x175 = -414.59118606265 - 17309.0504330016*i
x176 = -414.59118606265 - 15145.4191288764*i
x177 = -414.59118606265 - 12981.7878247512*i
x178 = -414.59118606265 - 10818.156520626*i
x179 = -414.59118606265 - 8654.52521650081*i
x180 = -414.59118606265 - 6490.89391237561*i
x181 = -414.59118606265 - 4327.2626082504*i
x182 = -414.59118606265 - 2163.6313041252*i
x183 = -414.59118606265 + 2163.6313041252*i
x184 = -414.59118606265 + 4327.2626082504*i
x185 = -414.59118606265 + 6490.89391237561*i
x186 = -414.59118606265 + 8654.52521650081*i
x187 = -414.59118606265 + 10818.156520626*i
x188 = -414.59118606265 + 12981.7878247512*i
x189 = -414.59118606265 + 15145.4191288764*i
x190 = -414.59118606265 + 17309.0504330016*i
x191 = -414.59118606265 + 19472.6817371268*i
x192 = -414.59118606265 + 21636.313041252*i
x193 = -414.59118606265 + 23799.9443453772*i
x194 = -414.59118606265 + 25963.5756495024*i
x195 = -414.59118606265 + 28127.2069536276*i
x196 = -414.59118606265 + 30290.8382577528*i
x197 = -414.59118606265 + 32454.469561878*i
x198 = -414.59118606265 + 34618.1008660032*i
x199 = -414.59118606265 + 36781.7321701284*i
x200 = -414.59118606265 + 38945.3634742536*i
x201 = -414.59118606265 + 41108.9947783788*i
x202 = -414.59118606265 + 43272.626082504*i
x203 = -414.59118606265 + 45436.2573866292*i
x204 = -414.59118606265 + 47599.8886907544*i
x205 = -414.59118606265 + 49763.5199948796*i
x206 = -414.59118606265 + 51927.1512990049*i
x207 = -414.59118606265 + 54090.7826031301*i
x208 = -414.59118606265 + 56254.4139072552*i
x209 = -414.59118606265 + 58418.0452113804*i
x210 = -414.59118606265 + 60581.6765155057*i
x211 = -414.59118606265 + 62745.3078196309*i
x212 = -414.59118606265 + 64908.9391237561*i
x213 = -414.59118606265 + 67072.5704278813*i
x214 = -414.59118606265 + 69236.2017320065*i
x215 = -414.59118606265 + 71399.8330361317*i
x216 = -414.59118606265 + 73563.4643402569*i
x217 = -414.59118606265 + 75727.0956443821*i
x218 = -414.59118606265 + 77890.7269485073*i
x219 = -414.59118606265 + 80054.3582526325*i
x220 = -414.59118606265 + 82217.9895567577*i
x221 = -414.59118606265 + 84381.6208608829*i
x222 = -414.59118606265 + 86545.2521650081*i
x223 = -414.59118606265 + 88708.8834691333*i
x224 = -414.59118606265 + 90872.5147732585*i
x225 = -414.59118606265 + 93036.1460773837*i
x226 = -414.59118606265 + 95199.7773815089*i
x227 = -414.59118606265 + 97363.4086856341*i
x228 = -414.59118606265 + 99527.0399897593*i
x229 = -414.59118606265 + 101690.671293884*i
x230 = -414.59118606265 + 103854.30259801*i
x231 = -414.59118606265 + 106017.933902135*i
x232 = -414.59118606265 + 108181.56520626*i
x233 = -414.59118606265 + 110345.196510385*i
x234 = -414.59118606265 + 112508.82781451*i
x235 = -414.59118606265 + 114672.459118636*i
x236 = -414.59118606265 + 116836.090422761*i
x237 = -414.59118606265 + 118999.721726886*i
x238 = -414.59118606265 + 121163.353031011*i
x239 = -414.59118606265 + 123326.984335137*i
x240 = -414.59118606265 + 125490.615639262*i
x241 = -414.59118606265 + 127654.246943387*i
x242 = -414.59118606265 + 129817.878247512*i
x243 = -414.59118606265 + 131981.509551637*i
x244 = -414.59118606265 + 134145.140855763*i
x245 = -414.59118606265 + 136308.772159888*i
x246 = -414.59118606265 + 138472.403464013*i
x247 = -414.59118606265 + 140636.034768138*i
x248 = -414.59118606265 + 142799.666072263*i
x249 = -414.59118606265 + 144963.297376389*i
x250 = -414.59118606265 + 147126.928680514*i
x251 = -414.59118606265 + 149290.559984639*i
x252 = -414.59118606265 + 151454.191288764*i
x253 = -414.59118606265 + 153617.822592889*i
x254 = -414.59118606265 + 155781.453897015*i
x255 = -414.59118606265 + 157945.08520114*i
x256 = -414.59118606265 + 160108.716505265*i
x257 = -414.59118606265 + 162272.34780939*i
x258 = -414.59118606265 + 164435.979113515*i
x259 = -414.59118606265 + 166599.610417641*i
x260 = -414.59118606265 + 168763.241721766*i
x261 = -414.59118606265 + 170926.873025891*i
x262 = -414.59118606265 + 173090.504330016*i
x263 = -414.59118606265 + 175254.135634141*i
x264 = -414.59118606265 + 177417.766938267*i
x265 = -414.59118606265 + 179581.398242392*i
x266 = -414.59118606265 + 181745.029546517*i
x267 = -414.59118606265 + 183908.660850642*i
x268 = -414.59118606265 + 186072.292154767*i
x269 = -414.59118606265 + 188235.923458893*i
x270 = -414.59118606265 + 190399.554763018*i
x271 = -414.59118606265 + 192563.186067143*i
x272 = -414.59118606265 + 194726.817371268*i
x273 = -414.59118606265 + 196890.448675393*i
x274 = -414.59118606265 + 199054.079979519*i
x275 = -414.59118606265 + 201217.711283644*i
x276 = -414.59118606265 + 203381.342587769*i
x277 = -414.59118606265 + 205544.973891894*i
x278 = -414.59118606265 + 207708.605196019*i
x279 = -414.59118606265 + 209872.236500145*i
x280 = -414.59118606265 + 212035.86780427*i
x281 = -414.59118606265 + 214199.499108395*i
x282 = -414.59118606265 + 216363.13041252*i
x283 = -414.59118606265 + 218526.761716645*i
x284 = -414.59118606265 + 220690.393020771*i
x285 = -414.59118606265 + 222854.024324896*i
x286 = -414.59118606265 + 225017.655629021*i
x287 = -414.59118606265 + 227181.286933146*i
x288 = -414.59118606265 + 229344.918237271*i
x289 = -414.59118606265 + 231508.549541397*i
x290 = -414.59118606265 + 233672.180845522*i
x291 = -414.59118606265 + 235835.812149647*i
x292 = -414.59118606265 + 237999.443453772*i
x293 = -414.59118606265 + 240163.074757897*i
x294 = -414.59118606265 + 242326.706062023*i
x295 = -414.59118606265 + 244490.337366148*i
x296 = -414.59118606265 + 246653.968670273*i
x297 = -414.59118606265 + 248817.599974398*i
x298 = -414.59118606265 + 250981.231278523*i
x299 = -414.59118606265 + 253144.862582649*i
x300 = -414.59118606265 + 255308.493886774*i
x301 = -414.59118606265 + 257472.125190899*i
x302 = -414.59118606265 + 259635.756495024*i
x303 = -414.59118606265 + 261799.387799149*i
x304 = -414.59118606265 + 263963.019103275*i
x305 = -414.59118606265 + 266126.6504074*i
x306 = -414.59118606265 + 268290.281711525*i
x307 = -414.59118606265 + 270453.91301565*i
x308 = -414.59118606265 + 272617.544319775*i
x309 = -414.59118606265 + 274781.175623901*i
x310 = -414.59118606265 + 276944.806928026*i
x311 = -414.59118606265 + 279108.438232151*i
x312 = -414.59118606265 + 281272.069536276*i
x313 = -414.59118606265 + 283435.700840401*i
x314 = -414.59118606265 + 285599.332144527*i
x315 = -414.59118606265 + 287762.963448652*i
x316 = -414.59118606265 + 289926.594752777*i
x317 = -414.59118606265 + 292090.226056902*i
x318 = -414.59118606265 + 294253.857361027*i
x319 = -414.59118606265 + 296417.488665153*i
x320 = -414.59118606265 + 298581.119969278*i
x321 = -414.59118606265 + 300744.751273403*i
x322 = -414.59118606265 + 302908.382577528*i
x323 = -414.59118606265 + 305072.013881653*i
x324 = -414.59118606265 + 307235.645185779*i
x325 = -414.59118606265 + 309399.276489904*i
x326 = -414.59118606265 + 311562.907794029*i
x327 = -414.59118606265 + 313726.539098154*i
x328 = -414.59118606265 + 315890.170402279*i
x329 = -414.59118606265 + 318053.801706405*i
x330 = -414.59118606265 + 320217.43301053*i
x331 = -414.59118606265 + 322381.064314655*i
x332 = -414.59118606265 + 324544.69561878*i
x333 = -414.59118606265 + 326708.326922906*i
x334 = -414.59118606265 + 328871.958227031*i
x335 = -414.59118606265 + 331035.589531156*i
x336 = -414.59118606265 + 333199.220835281*i
x337 = -414.59118606265 + 335362.852139406*i
x338 = -414.59118606265 + 337526.483443531*i
x339 = -414.59118606265 + 339690.114747657*i
x340 = -414.59118606265 + 341853.746051782*i
x341 = -414.59118606265 + 344017.377355907*i
x342 = -414.59118606265 + 346181.008660032*i
x343 = -414.59118606265 + 348344.639964158*i
x344 = -414.59118606265 + 350508.271268283*i
x345 = -414.59118606265 + 352671.902572408*i
x346 = -414.59118606265 + 354835.533876533*i
x347 = -414.59118606265 + 356999.165180658*i
x348 = -414.59118606265 + 359162.796484784*i
x349 = -414.59118606265 + 361326.427788909*i
x350 = -414.59118606265 + 363490.059093034*i
x351 = -414.59118606265 + 365653.690397159*i
x352 = -414.59118606265 + 367817.321701284*i
x353 = -414.59118606265 + 369980.95300541*i
x354 = -414.59118606265 + 372144.584309535*i
x355 = -414.59118606265 + 374308.21561366*i
x356 = -414.59118606265 + 376471.846917785*i
x357 = -414.59118606265 + 378635.47822191*i
x358 = -414.59118606265 + 380799.109526036*i
x359 = -414.59118606265 + 382962.740830161*i
x360 = -414.59118606265 + 385126.372134286*i
x361 = -414.59118606265 + 387290.003438411*i
x362 = -414.59118606265 + 389453.634742536*i
x363 = -414.59118606265 + 391617.266046662*i
x363 = -414.59118606265 + 391617.266046662*i