Write the logarithmic equation in exponential form. $\log _ { 7 } 343 = 3$
A) $7 ^ { 343 } = 2$
B) $7 ^ { 3 } = 77$
C) $7 ^ { 3 } = 343$
D) $7 ^ { 3 } = 14$
E) $343 ^ { 7 } = 2$

Question

Write the logarithmic equation in exponential form.​ $\log _ { 7 } 343 = 3$ ​
A) $7 ^ { 343 } = 2$
B) $7 ^ { 3 } = 77$
C) $7 ^ { 3 } = 343$
D) $7 ^ { 3 } = 14$
E) $343 ^ { 7 } = 2$

Quizplus · Accepted Answer

The given logarithmic equation can be written as: 
log base 2 (x) = 6
This means that 2 raised to the power of 6 is x. 
So, x = 2^6 
Simplifying the power of 2, we get: 
x = 64
Therefore, the exponential form is: 
2^6 = 64 
Option C is the only choice that matches this result.

Write the Logarithmic Equation in Exponential Form log⁡7343=3\log _ { 7 } 343 = 3log7​343=3

Write the Logarithmic Equation in Exponential Form $\log _ { 7 } 343 = 3$