Write in logarithmic form.
-$$\left( \frac { 11 } { 7 } \right) ^ { - 3 } = \frac { 343 } { 1331 }$$
A) $\log _ { - 3 } \left( \frac { 7 ^ { - 3 } } { 11 ^ { - 3 } } \right) = \frac { 7 } { 11 }$
B) $\frac { \log _ { 3 } 11 - 3 } { \log _ { 3 } 7 ^ { - 3 } } = \frac { 7 } { 11 }$
C) $\log _ { 3 } \frac { 11 } { 7 } = \frac { 11 ^ { - 3 } } { 7 ^ { - 3 } }$
D) $\log _ { 11 / 7 } \left( \frac { 343 } { 1331 } \right) = - 3$

Question

Quizplus · Accepted Answer

The logarithmic form of $a^b = c$ is $\log_a(c) = b$. Applying this to the given equation, we get $\log_{11/7}(343/1331) = -3$, which matches choice D.

Write in Logarithmic Form (117)−3=3431331\left( \frac { 11 } { 7 } \right) ^ { - 3 } = \frac { 343 } { 1331 }(711​)−3=1331343​

Write in Logarithmic Form $\left( \frac { 11 } { 7 } \right) ^ { - 3 } = \frac { 343 } { 1331 }$