Write the logarithmic equation in exponential form. $$\log _ { 8 } 64 = 2$$
A) $64 ^ { 8 } = 2$
B) $8 ^ { 2 } = 16$
C) $8 ^ { 2 } = 88$
D) $8 ^ { 2 } = 64$
E) $8 ^ { 64 } = 2$

Question

Write the logarithmic equation in exponential form. $$\log _ { 8 } 64 = 2$$ 
A) $64 ^ { 8 } = 2$
B) $8 ^ { 2 } = 16$
C) $8 ^ { 2 } = 88$
D) $8 ^ { 2 } = 64$
E) $8 ^ { 64 } = 2$

Quizplus · Accepted Answer

The logarithmic equation $\log _ { 8 } 64 = 2$ means that 64 is the 8th power of some number, and that number is 2. In other words, $\log _ { 8 } 64 = 2$ can be rewritten as $8^2 = 64$, which is the exponential form of the equation. Choice D matches this form, while the other choices do not.

Write the Logarithmic Equation in Exponential Form log⁡864=2\log _ { 8 } 64 = 2log8​64=2

Write the Logarithmic Equation in Exponential Form $\log _ { 8 } 64 = 2$