Solve for x log base 3 of x=4

Problem

(log_3)(x)=4

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=4 into the exponential form.

x=3

4. Evaluate the power by multiplying 3 by itself four times.

3⋅3⋅3⋅3=81

Final Answer

(log_3)(x)=4⇒x=81

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