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

Solve for xlog3 (x - 2) = 2A. 8B. 9C. 10D. 11O-example-1
User Pangamma
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2.3k points

1 Answer

22 votes
22 votes

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.

User Bicarlsen
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3.1k points