Question

$3^{5X-1} =314$

Answer 1

Respuesta:

$x=\frac{\ln \left(942\right)}{5\ln \left(3\right)}$

Explicación paso a paso:

$3^{5x-1}=314\\\\\left(5x-1\right)\ln \left(3\right)=\ln \left(314\right)\\\\5x-1=\frac{\ln \left(314\right)}{\ln \left(3\right)}\\\\5x=\frac{\ln \left(314\right)}{\ln \left(3\right)}+1\\\\x=\frac{\frac{\ln \left(314\right)}{\ln \left(3\right)}}{5}+\frac{1}{5}\\\\x==\frac{\frac{\ln \left(314\right)}{\ln \left(3\right)}+1}{5}\\\\x=\frac{\frac{\ln \left(942\right)}{\ln \left(3\right)}}{5}\\\\x=\frac{\ln \left(942\right)}{\ln \left(3\right)\cdot \:5}$

$x=\frac{\ln \left(942\right)}{5\ln \left(3\right)}$