Question

Solve for xlog3 (x - 2) = 2A. 8B. 9C. 10D. 11O

Answer 1

Given:

`log_3(x-2)=2`

Required:

Find the value of x.

Step-by-step explanation:

The given equation is

`log_3(x-2)=2`

Use the following logarithm property.

`\begin{gathered} log_bx=a \\ x=b^a \end{gathered}`
`\begin{gathered} x-2=3^2 \\ x-2=9 \\ x=9+2 \\ x=11 \end{gathered}`

Final answer:

Option D is the correct answer.