Write the equation in its equivalent exponential form.
-$$3 = \log _ { b ^ { 2 } } 216$$
A) $216 ^ { 3 } = b$
B) $3 ^ { b } = 216$
C) $b ^ { 3 } = 216$
D) $216 ^ { b } = 3$

Question

Quizplus · Accepted Answer

The exponential form of $\log _ { b ^ { 2 } } 216 = 3$ is $b^{2 \times 3} = 216$, which simplifies to $b^6 = 216$. Since $216 = 6^3$, we can rewrite the equation as $b^6 = 6^3$, which implies $b^3 = 6$, or $b^3 = 216$.

Write the Equation in Its Equivalent Exponential Form 3=log⁡b22163 = \log _ { b ^ { 2 } } 2163=logb2​216

Write the Equation in Its Equivalent Exponential Form $3 = \log _ { b ^ { 2 } } 216$