# Algebra 2

posted by
**Jon**
.

1)Solve: (1/5)^(t-2)=125

(1/5)^(t-2)=125

(1/5)^(t-2)=5^3

(1/5)^(t-2)=(1/5)^(-3)

equate the powers on both the sides. we obtain.....

t-2=-3

t=-3+2=-1

t=-1

posted by
**Jon**
.

1)Solve: (1/5)^(t-2)=125

(1/5)^(t-2)=125

(1/5)^(t-2)=5^3

(1/5)^(t-2)=(1/5)^(-3)

equate the powers on both the sides. we obtain.....

t-2=-3

t=-3+2=-1

t=-1