Solve for x log base 2 of x=3

Problem

(log_2)(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=2 and y=3 into the exponential form.

x=2

4. Evaluate the power by calculating 2×2×2

x=8

Final Answer

(log_2)(x)=3⇒x=8

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