Write as an exponential equation.
-$$\log _ { 3 } \frac { 1 } { 27 } = - 3$$
A) $3 ^ { 3 } = \frac { 1 } { 27 }$
B) $3 ^ { 27 } = 3$
C) $3 ^ { - 3 } = \frac { 1 } { 27 }$
D) $\left( \frac { 1 } { 27 } \right) ^ { 3 } = 3$

Question

Quizplus · Accepted Answer

The exponential form of the logarithmic equation $\log _ { 3 } \frac { 1 } { 27 } = - 3$ is $3 ^ { - 3 } = \frac { 1 } { 27 }$, where the base of the logarithm (3) becomes the base of the exponent, the right side of the equation (-3) becomes the exponent, and the argument of the logarithm ($\frac { 1 } { 27 }$) becomes the result of the exponential expression.

Write as an Exponential Equation log⁡3127=−3\log _ { 3 } \frac { 1 } { 27 } = - 3log3​271​=−3

Write as an Exponential Equation $\log _ { 3 } \frac { 1 } { 27 } = - 3$