Question

Express the following in logarithmic form.

`36^(1/2) = 6`

Answer 1

`36^(1/2) = 6`

Taking log₃₆ on both sides,

`log_36 36^(1/2) = log_36 6`

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

`1/2 log_36 36 = log_36 6`

Since log₃₆ 36 = 1,

`1/2 xx 1 = log_36 6`

∴ `log_36 6 = 1/2`