Question

an equation is shown below. 9^(-3x+2) =48what is the value of x to the nearest ten-thousand ? A) 0.0995B) 0.0794C) 0.4774D) 0.4243

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

9^(-3x+2) =48

x = ?

Step 02:

`\ln (9)^((-3x+2))=\text{ ln(48)}`
`\begin{gathered} (-3x+2)\ln (9)=\ln (48) \\ -3x=(\ln(48))/(\ln(9))-2 \end{gathered}`
`x=\text{ (}(\ln(48))/(\ln(9))-2)\cdot\frac{1}{(-3)_{}}`

x= 0.07938

The answer is:

x = 0.0794