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

x= 0.07938

The answer is:

x = 0.0794