Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-$$\log _ { 125 } x = \frac { 1 } { 3 }$$
A) $\frac { 1 } { 15 }$
B)15
C) $\frac { 1 } { 5 }$
D)5

Question

Quizplus · Accepted Answer

The equation can be rewritten using the property of logarithms that states $\log_b x = y$ is equivalent to $b^y = x$. Therefore, $125^{\frac{1}{3}} = x$. Since $125 = 5^3$, $125^{\frac{1}{3}} = (5^3)^{\frac{1}{3}} = 5$.

Solve the Equation log⁡125x=13\log _ { 125 } x = \frac { 1 } { 3 }log125​x=31​

Solve the Equation $\log _ { 125 } x = \frac { 1 } { 3 }$