Question

Solve the exponential equation by taking the logarithm on both sides. express the solution set in terms of logarithms. e^3x=7

Answer 1

$e^{3x} = 7 \\ \\ ln(e^{3x}) = ln(7) \\ \\3x* ln(e)=ln(7) \\ \\3x* 1=ln(7) \\ \\ x=\frac{ln(7)}{3}$