Question

For what value of y does 125=(1/25)^y-1

Answer 1

Answer:

D. -1/2

Step-by-step explanation:

Answer 2

Answer:y=-1/2

Step-by-step explanation:

125=(1/25)^(y-1)

5^3=(5^(-2))^(y-1)

5^3=5^(-2(y-1))

The same base eliminate each other we then have

3=-2(y-1)

3=-2y+2

Collect like terms

2y=2-3

2y=-1

Divide both sides by 2

2y/2=-1/2

y=-1/2