Question

Solve the problem down below Round the answer to the nearest thousandth

Answer 1

Given:

`6^(-x+2)=23`

To find:

The solution

Step-by-step explanation:

Taking log on both sides,

`log\left(6^(-x+2)\right)=log\left(23\right)`

Solving for x, we get

`\begin{gathered} (-x-2)log(6)=log(23) \\ -x-2=(log(23))/(log(6)) \\ -x-2=1.74995 \\ -x=2+1.74995 \\ x=-3.74995 \\ x\approx-3.750 \end{gathered}`

Therefore, the value of x is -3.750.

Final answer:

The value of x is -3.750.