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Ecuación (x+9)^2=36*x
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Ecuación a+120=2000/5
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Ecuación -x/11+x=50/11
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Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
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Expresiones idénticas
- 3log5(x)+loga(x)-a= cero
- 3 logaritmo de 5(x) más logaritmo de a(x) menos a es igual a 0
- 3 logaritmo de 5(x) más logaritmo de a(x) menos a es igual a cero
- 3log5x+logax-a=0
- 3log5(x)+loga(x)-a=O
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Expresiones semejantes
- 3log5(x)-loga(x)-a=0
- 3log5(x)+loga(x)+a=0
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Expresiones con funciones
- loga
- logax=0
- loga(x)+x=5
- loga74
3log5(x)+loga(x)-a=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
log(x) log(x) 3*------ + ------ - a = 0 log(5) log(a)
$$- a + \left(3 \frac{\log{\left(x \right)}}{\log{\left(5 \right)}} + \frac{\log{\left(x \right)}}{\log{\left(a \right)}}\right) = 0$$
Gráfica
Respuesta rápida
[src]
/ a*log(a) \ / a*log(a) \
log(5)*re|-----------------| log(5)*re|-----------------|
/ / a*log(a) \ \ \3*log(a) + log(5)/ \3*log(a) + log(5)/ / / a*log(a) \ \
x1 = cos|im|-----------------|*log(5)|*e + I*e *sin|im|-----------------|*log(5)|
\ \3*log(a) + log(5)/ / \ \3*log(a) + log(5)/ /
$$x_{1} = i e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \sin{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)} + e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \cos{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)}$$
x1 = i*exp(log(5)*re(a*log(a)/(3*log(a) + log(5))))*sin(log(5)*im(a*log(a)/(3*log(a) + log(5)))) + exp(log(5)*re(a*log(a)/(3*log(a) + log(5))))*cos(log(5)*im(a*log(a)/(3*log(a) + log(5))))
Suma y producto de raíces
[src]
suma
/ a*log(a) \ / a*log(a) \
log(5)*re|-----------------| log(5)*re|-----------------|
/ / a*log(a) \ \ \3*log(a) + log(5)/ \3*log(a) + log(5)/ / / a*log(a) \ \
cos|im|-----------------|*log(5)|*e + I*e *sin|im|-----------------|*log(5)|
\ \3*log(a) + log(5)/ / \ \3*log(a) + log(5)/ /
$$i e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \sin{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)} + e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \cos{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)}$$
=
/ a*log(a) \ / a*log(a) \
log(5)*re|-----------------| log(5)*re|-----------------|
/ / a*log(a) \ \ \3*log(a) + log(5)/ \3*log(a) + log(5)/ / / a*log(a) \ \
cos|im|-----------------|*log(5)|*e + I*e *sin|im|-----------------|*log(5)|
\ \3*log(a) + log(5)/ / \ \3*log(a) + log(5)/ /
$$i e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \sin{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)} + e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \cos{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)}$$
producto
/ a*log(a) \ / a*log(a) \
log(5)*re|-----------------| log(5)*re|-----------------|
/ / a*log(a) \ \ \3*log(a) + log(5)/ \3*log(a) + log(5)/ / / a*log(a) \ \
cos|im|-----------------|*log(5)|*e + I*e *sin|im|-----------------|*log(5)|
\ \3*log(a) + log(5)/ / \ \3*log(a) + log(5)/ /
$$i e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \sin{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)} + e^{\log{\left(5 \right)} \operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} \cos{\left(\log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)} \right)}$$
=
/ a*log(a) \ / a*log(a) \ re|-----------------| I*im|-----------------|*log(5) \3*log(a) + log(5)/ \3*log(a) + log(5)/ 5 *e
$$5^{\operatorname{re}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}} e^{i \log{\left(5 \right)} \operatorname{im}{\left(\frac{a \log{\left(a \right)}}{3 \log{\left(a \right)} + \log{\left(5 \right)}}\right)}}$$
5^re(a*log(a)/(3*log(a) + log(5)))*exp(i*im(a*log(a)/(3*log(a) + log(5)))*log(5))