Discussion Forum

The value of $log_{343}$ 7 is :

Answer:

Explanation:

Let $log_{343} 7$ $=n$.

Then, $(343)^{n}$ $=7$

$\Leftrightarrow (7^{3})^{n}$ $=7$

$\Leftrightarrow 3n =1$

$\Leftrightarrow n=\frac{1}{3}$

$\therefore log_{343}7$ $=\frac{1}{3}$.