Evaluate log base 2 of 4

Problem

(log_2)(4)

Solution

1. Identify the logarithmic expression, which asks for the exponent x such that the base 2 raised to the power of x equals 4

2. Rewrite the equation in exponential form.

2=4

3. Express the number 4 as a power of the base 2

4=2

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

2=2

⇒x=2

Final Answer

(log_2)(4)=2

Want more problems? Check here!