Question

Hello, I need some help with this precalculus question for my homework, please HW Q2

Answer 1

The logarithmic equation given is,

`\log _4\left(11x\right)=2`

Apply log rules

`\log_4\left(11x\right)=\log_42^4`

Cancel out the log₄

`11x=2^4`

Solve for x

`\begin{gathered} 11x=16 \\ Divide\text{ both sides by 11} \\ (11x)/(11)=(16)/(11) \\ x=(16)/(11)=1(5)/(11) \end{gathered}`

Hence, the solution set is

`x=(16)/(11)or1(5)/(11)`