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log(t)+k*t-log(b)-k*b=k*m*a*c la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
log(t) + k*t - log(b) - k*b = k*m*a*c
−bk+((kt+log⁡(t))−log⁡(b))=cakm- b k + \left(\left(k t + \log{\left(t \right)}\right) - \log{\left(b \right)}\right) = c a k m
Simplificar
Gráfica
Respuesta rápida [src] 
         / /     k*(b + a*c*m)\\     / /     k*(b + a*c*m)\\
         |W\b*k*e             /|     |W\b*k*e             /|
t1 = I*im|---------------------| + re|---------------------|
         \          k          /     \          k          /
t1=re⁡(W(bkek(acm+b))k)+iim⁡(W(bkek(acm+b))k)t_{1} = \operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} 
t1 = re(LambertW(b*k*exp(k*(a*c*m + b)))/k) + i*im(LambertW(b*k*exp(k*(a*c*m + b)))/k)
Suma y producto de raíces [src] 
suma
    / /     k*(b + a*c*m)\\     / /     k*(b + a*c*m)\\
    |W\b*k*e             /|     |W\b*k*e             /|
I*im|---------------------| + re|---------------------|
    \          k          /     \          k          /
re⁡(W(bkek(acm+b))k)+iim⁡(W(bkek(acm+b))k)\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} 
=
    / /     k*(b + a*c*m)\\     / /     k*(b + a*c*m)\\
    |W\b*k*e             /|     |W\b*k*e             /|
I*im|---------------------| + re|---------------------|
    \          k          /     \          k          /
re⁡(W(bkek(acm+b))k)+iim⁡(W(bkek(acm+b))k)\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} 
producto
    / /     k*(b + a*c*m)\\     / /     k*(b + a*c*m)\\
    |W\b*k*e             /|     |W\b*k*e             /|
I*im|---------------------| + re|---------------------|
    \          k          /     \          k          /
re⁡(W(bkek(acm+b))k)+iim⁡(W(bkek(acm+b))k)\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} 
=
    / /     k*(b + a*c*m)\\     / /     k*(b + a*c*m)\\
    |W\b*k*e             /|     |W\b*k*e             /|
I*im|---------------------| + re|---------------------|
    \          k          /     \          k          /
re⁡(W(bkek(acm+b))k)+iim⁡(W(bkek(acm+b))k)\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} 
i*im(LambertW(b*k*exp(k*(b + a*c*m)))/k) + re(LambertW(b*k*exp(k*(b + a*c*m)))/k)
    © Sr Examen – Калькулятор