Solve for x log base 3 of x=3

Problem

(log_3)(x)=3

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=3 into the exponential form.

x=3

4. Evaluate the power by multiplying the base by itself three times.

x=3⋅3⋅3

x=27

Final Answer

(log_3)(x)=3⇒x=27

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