Question

Solve for x:

`log_125 x = 1/3`

Answer 1

Given: `log_125 x = 1/3`

Step-wise calculation:

1. Convert to exponential form:

`x = 125^(1/3)`

2. Write 125 as 5³:

`x = (5^3)^(1/3)`

3. Use exponent rules:

`(5^3)^(1/3) = 5^(3 xx 1/3)`

`(5^3)^(1/3) = 5^1`

`(5^3)^(1/3) = 5`