Question

Hello, I need some help with this precalculus question for my homework, please HW Q11

Answer 1

The answer is clearly and very simply 0.010

Answer 2

A. the solution set is:

A. The solution set is 0.010

Explanation:

We have the following equation:

`7\left(9^(6x)\right)=8`

We solve for x:

`\begin{gathered} 9^(6x)=(8)/(7) \\ \\ 6x\cdot\ln(9)=\ln\left((8)/(7)\right) \\ \\ x=(\ln\left((8)/(7)\right))/(6\cdot\ln(9))=(\ln\left((8)/(7)\right))/(6\ln\left(3^2\right))=(\ln\left((8)/(7)\right))/(6\cdot2\ln\left(3\right)) \\ \\ x=(\ln\left((8)/(7)\right))/(12\ln\left(3\right)) \\ \\ x\approx0.010 \end{gathered}`