Evaluate log base 2 of 8

Problem

(log_2)(8)

Solution

1. Identify the logarithmic expression, which asks for the exponent x such that the base 2 raised to the power of x equals 8

2. Rewrite the expression in exponential form to solve for the unknown value.

2=8

3. Express the number 8 as a power of 2 to make the bases on both sides of the equation identical.

8=2

4. Equate the exponents since the bases are now the same.

2=2

⇒x=3

Final Answer

(log_2)(8)=3

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