Evaluate log base 2 of 16x

Problem

(log_2)(16*x)

Solution

1. Apply the product rule for logarithms, which states that (log_b)(M*N)=(log_b)(M)+(log_b)(N)

(log_2)(16*x)=(log_2)(16)+(log_2)(x)

2. Rewrite the constant 16 as a power of the base 2.

16=2

3. Substitute the power back into the expression.

(log_2)(2)+(log_2)(x)

4. Simplify the term (log_2)(2) using the property (log_b)(bk)=k

(log_2)(2)=4

5. Combine the results to find the final evaluated expression.

4+(log_2)(x)

Final Answer

(log_2)(16*x)=4+(log_2)(x)

Want more problems? Check here!