Question

Hello, I need some help with this precalculus question for my homework, please HW Q10

Answer 1

Given the function:

`9^x=6`

Apply the laws of exponents

`xln(9)=ln(6)`

And solve for x:

`\begin{gathered} x=(ln(6))/(ln(9)) \\ x=(ln(6))/(2ln(3)) \end{gathered}`

As a decimal form:

`x=0.815`

Answer: A. The solution set is

`(ln(6))/(2ln(3))`