# expand the expression log square root of x

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### 1 Answer

`log sqrtx`

``First we will rewrite the radical number using rational exponent.

`==gt sqrtx = x^(1/2) `

`==gt log sqrtx = log x^(1/2)`

Now we will use logarithm properties to simplify.

We know that `log a^b = b *log a`

```==gt log sqrtx = log x^(1/2) = (1/2) log x`