Write an equivalent expression in exponential form.
-$\log _ { \sqrt { 5 } } 625 = 8$
A) $4 ^ { 5 } = 625$
B) $5625 = 4$
C) $625 ^ { 4 } = 5$
D) $5 ^ { 4 } = 625$

Question

Quizplus · Accepted Answer

The given logarithmic equation $\log _ { \sqrt { 5 } } 625 = 8$ can be rewritten in exponential form as $(\sqrt{5})^8 = 625$. Since $\sqrt{5} = 5^{1/2}$, this becomes $5^{1/2 \times 8} = 5^4 = 625$, which matches option D.

Write an Equivalent Expression in Exponential Form log⁡5625=8\log _ { \sqrt { 5 } } 625 = 8log5​​625=8

Write an Equivalent Expression in Exponential Form $\log _ { \sqrt { 5 } } 625 = 8$