Question

Question 14 point) Solve log - 5 36 = X = 13

Answer 1

Solve:

$\text{log}_{x+5}(36)=2$

We apply the rule:

$\text{log}_b(a)=y\longrightarrow b^y=a$

So in this case we have:

a = 36, b=x+5, y=2

Then, we can apply the rule as:

$\begin{gathered} \text{log}_{x+5}(36)=2\longrightarrow(x+5)^2=36 \\ (x+5)^2=36 \\ x+5=36^{\frac{1}{2}} \\ x+5=6 \\ x=6-5 \\ x=1 \end{gathered}$