Question

solve. write your answer in simplest form using integers, fractions, and natural logarithms.
6^{2x} = 85
x =

Explanation:

Step1: Take natural log of both sides

$\ln(6^{2x}) = \ln(85)$

Step2: Use log power rule

$2x\ln(6) = \ln(85)$

Step3: Solve for x

$x = \frac{\ln(85)}{2\ln(6)}$

Answer:

$\frac{\ln(85)}{2\ln(6)}$