What is the value of b if 5^b + 5^b + 5^b + 5^b + 5^b = 25^(b - 1).
I noticed I see five '5^b's. Thus, the equation would be:
5b+1=25b−1
25 = 5^2, so the equation would be:
5b+1=52b−2
Since they are equal and they have the same base, then:
b + 1 = 2b - 2.
Solving for b, we get b=3.
