Question

If 7 ^ (m - 5) = (343) ^ 2 then find the value of m​

Answer 1

Answer:

${7}^{m - 5} = {343}^{2}$

${7}^{m - 5} = {7 ^{3} }^{2}$

$m - 5 = 6$

$m = 11$

Answer 2

Answer:

If $7^{m-5}=343^2$ then the value of m is 11.

Step-by-step explanation:

We have one equation written as $7^{m-5}=343^2$ and it is asked to find the value of m.

We will first try to simplify the equation on both sides then just express the terms on both sides with the power of 7 then we get the value of m easily by doing the simple calculation.

Step 1 of 2

Let us first simplify the equation as

$7^{m-5}=343^2\\7^{m-5}=7^{3*2}\\7^{m-5}=7^6$

Step 2 of 2

Now let us equate both sides then we get

$m-5=6$

⇒ m = 6+5

⇒m = 11

Hence the value of m from the given expression $7^{m-5}=343^2$ is 11.