Question

If logax=16; the value of loga rootsquarex is?

Answer 1

Given -

log (x) = 16

To Find -

Value of log(√x) =?

Step-by-Step Explanation -

log (x) = 16

Now, log(√x) can be written as:

`\begin{gathered} \log_(√(x))\text{ = }\log_(x)^{(1)/(2)} \\ \\ =\text{ }(1)/(2)* log(x) \\ \\ Now,\text{ we know log x = 16} \\ \\ =\text{ }(1)/(2)*16 \\ \\ =\text{ 8} \end{gathered}`

Final Answer -

Value of log(√x) = 8