Question

What is the value of log7 343

Answer 1

The answer should be a total of 3

Answer 2

Answer:

The value of given expression  $log_7343$ is 3.

Step-by-step explanation:

 Given: $log_7343$

We have to find the value of given expression  $log_7343$

Consider  the given expression  $log_7343$

Rewrite 343 in  base- power form as $343=7^3$

We have

$=\log _7\left(7^3\right)$

Apply log rule, $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

We have ,

$\log _7\left(7^3\right)=3\log _7\left(7\right)$

Again Apply log rule $\log _a\left(a\right)=1$

we have $\log _7\left(7\right)=1$

Thus, $3\log _7\left(7\right)=3$

Thus, the value of given expression  $log_7343$ is 3.