Solve for x log base 2 of 8=x

Problem

(log_2)(8)=x

Solution

1. Identify the logarithmic equation in the form (log_b)(a)=x where the base b=2 and the argument a=8

2. Rewrite the equation in its equivalent exponential form bx=a

2=8

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

2=2

4. Equate the exponents since the bases are equal.

x=3

Final Answer

(log_2)(8)=3

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