Question

Determine the value of the following.
log √x base x​

Answer 1

Answer:    Hence the answer is $\frac{1}{2}$  

Step-by-step explanation:

Alright, lets get started.

The expression is given as :

$log_{x}(\sqrt{x})$

$log_{x}x^{\frac{1}{2}}$

Using property of log

$\frac{1}{2}log_{x} (x)$

$\frac{1}{2}\frac{logx}{logx}$

$\frac{1}{2}$

Hence the answer is $\frac{1}{2}$   ..............Answer

Hope it will help :)