Question

Solving the equation and something to do with log

Answer 1

m= 1/2.

Explanation:

To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.

We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:

`5^(3(2m)) = 5^(2(m+1))` Distribute the exponents to get:

`5^(6m) = 5^(2m+2)`

Now, we can simply ignore the '5' and solve for 'm':

6m= 2m+2

4m= 2

m= 1/2.