Answer:
m= 1/2.
Step-by-step 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:
[tex]5^{3(2m)} = 5^{2(m+1)}[/tex] Distribute the exponents to get:
[tex]5^{6m} = 5^{2m+2}[/tex]
Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.
