Given -
log (x) = 16
To Find -
Value of log(√x) =?
Step-by-Step Explanation -
log (x) = 16
Now, log(√x) can be written as:
[tex]\begin{gathered} \log_(\sqrt{x})\text{ = }\log_(x)^{\frac{1}{2}} \\ \\ =\text{ }\frac{1}{2}\times log(x) \\ \\ Now,\text{ we know log x = 16} \\ \\ =\text{ }\frac{1}{2}\times16 \\ \\ =\text{ 8} \end{gathered}[/tex]Final Answer -
Value of log(√x) = 8
