Question

Find the value of log 3√7to base 7

Answer 1

Question :-

$find \: the \: value \: of \: log_{7}( \sqrt[3]{7} )$

SOLUTION :-

Check in the attachment

As we know that

log a^1/n to the base a = 1/n

so log 7^1/3 to the base 7

= 1/3

FORMULA USED :-

$log_{a}( \sqrt[n]{a} ) = \frac{1}{n}$

Here the value of a = 7 and n = 3

So the value of the logarithm is 1/3