Question

What is the value of log 7 343?–3 -1/3 1/3 3

Answer 1

Answer: 3

Step-by-step explanation:

Given :

$Log_{7}$ 343

We need to write 343 in index form of 7.

343 is the same as $7^{3}$ , replacing 343 with $7^{3}$ , we have

$Log_{7}$ $7^{3}$

Recall one on the law of Logarithm :

$Log_{a}$$b^{c}$ can be written as c $Log_{a}$b

So, $Log_{7}$ $7^{3}$ can be written as ;

3$Log_{7}$ 7

Also from the laws of Logarithms , $Log_{a}$ a = 1

so , Log_{7}[/tex] 7 = 1

The solution then becomes

3 x 1 = 3

Therefore :

$Log_{7}$ 343 = 3