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

3

Step-by-step explanation:

Given :

343

We need to write 343 in index form of 7.

343 is the same as , replacing 343 with , we have

Recall one on the law of Logarithm :

can be written as c b

So, can be written as ;

3 7

Also from the laws of Logarithms , a = 1

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

The solution then becomes

3 x 1 = 3

Therefore :

343 = 3