Write the logarithmic equation $4 = \log _ { 2 } 16$ in its exponential form.
A) $2 ^ { 16 } = 4$
B) $2 ^ { 4 } = 16$
C) $16 ^ { 4 } = 2$
D) $4 ^ { 2 } = 16$
E) $4 ^ { 16 } = 2$

Question

Quizplus · Accepted Answer

The exponential form of the logarithmic equation $\log _ { 2 } 16 = 4$ is $2 ^ { 4 } = 16$, which matches choice B. This is because the base of the logarithm (2) raised to the power on the other side of the equation (4) equals the number inside the log (16).

Write the Logarithmic Equation 4=log⁡2164 = \log _ { 2 } 164=log2​16

Write the Logarithmic Equation $4 = \log _ { 2 } 16$