Solve for y log base 4 of y=2

Problem

(log_4)(y)=2

Solution

1. Identify the logarithmic equation in the form (log_b)(x)=a where the base b=4 the argument x=y and the exponent a=2

2. Rewrite the equation in its equivalent exponential form using the definition ba=x

4=y

3. Evaluate the power by squaring the base.

16=y

Final Answer

(log_4)(y)=2⇒y=16

Want more problems? Check here!