How do you evaluate $log_7(343)$ ?

Question

11706 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-29T01:01:34

$log_7(343) = 3$

If $x=log_7(343)$
then we are looking for a value of $x$ such that $7^x= 343$

$7^1=7$
$7^2=49$
$7^3=343$

$rArr x=3$

In most cases a question like this would require the use of a calculator. In this case the question was obviously set up for a direct solution.

Answer 2 · 2015-11-30T14:06:25

3

$log_7(343)=log_7(7^3)$
$=3log_7(7)$
$=3*1$
$=3$

How do you evaluate log_7(343)log_7(343)?