Solve for x log base 3 of x=2

Problem

(log_3)(x)=2

Solution

1. Identify the logarithmic equation, which is in the form (log_b)(x)=y

2. Apply the definition of a logarithm to rewrite the equation in exponential form x=by

3. Substitute the given values b=3 and y=2 into the exponential form.

x=3

4. Evaluate the power to find the value of x

x=9

Final Answer

(log_3)(x)=2⇒x=9

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