Question

Express the following in logarithmic form.

`25 = 125^(2/3)`

Answer 1

`25 = 125^(2/3)`

Taking log₁₂₅ on both sides,

`log_125 25 = log_125 125^(2/3)`

Using the rule log a^m = m log a,

`log_125 25 = 2/3 log_125 125`

Since log₁₂₅ 125 = 1,

`log_125 25 = 2/3 xx 1`

`log_125 25 = 2/3`