Question

Solve the exponential equation by taking the logarithm of both sides. Express your answer in exact simplest form.7" = 50The solution set isBlog吕 0ODinХ

Answer 1

Solving the exponential equaton, we have:

`\begin{gathered} 7^n=50 \\ \log _{}7^n=\log _{}(50)\text{ (Taking the logarithm of both sides)} \\ n\log _{}7=\log _{}(50)\text{ (Using the logarithm power rule)} \\ n=\frac{\log_{}(50)}{\log(7)}\text{ (Dividing by log(7) on both sides of the equation)} \\ \text{The answer is }\frac{\log_{}(50)}{\log(7)} \end{gathered}`