Write an equivalent expression in exponential form.
-$$\log \sqrt { 7 } 343 = 6$$
A) $343 ^ { 3 } = 7$
B) $7^{343} = 3$
C) $3 ^ { 7 } = 343$
D) $7 ^ { 3 } = 343$

Question

Quizplus · Accepted Answer

The given logarithmic equation $\log \sqrt { 7 } 343 = 6$ can be rewritten in exponential form as $7^6 = 343$. However, this is a mistake in the transcription of the problem. The correct interpretation of the given logarithmic equation should be $\log_{7} 343 = \frac{1}{2}$, which means $7^{\frac{1}{2}} = 343$, but this is also incorrect based on the options provided. The correct interpretation, based on the options, is that we're looking for an exponential form that matches the base and the result, which is $7^3 = 343$, making option D correct.

Write an Equivalent Expression in Exponential Form log⁡7343=6\log \sqrt { 7 } 343 = 6log7​343=6

Write an Equivalent Expression in Exponential Form $\log \sqrt { 7 } 343 = 6$