Question

Hello! I need some assistance with this homework question for precalculus, please?HW Q12

Answer 1

Step 1

Given;

`5^(-x)=625`

Required; To find the solution set

Step 2

Find the solution set

`using\text{ indices 625=5}^4`

Therefore, we can rewrite the equation as;

`\begin{gathered} 5^(-x)=5^4 \\ Cancel\text{ the base 5 on both sides } \\ therefore;\text{ -x=4} \\ Multiply\text{ both sides by -1} \\ -x(-1)=4(-1) \\ x=-4 \end{gathered}`

Answer;

`x=-4`