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^{(1)/(2)} \\ x+5=6 \\ x=6-5 \\ x=1 \end{gathered}`