Solve this equation 25x 15 Solve this equation 254x 125Sol

Solve this equation. 25^(-x) = 1/5 Solve this equation. 25^4x = 125

Solution

1)25^-x=1/5

25^-x=5^-1

(5²)^-x=5^-1

(a^m)ⁿ=a^mn

5^-2x=5^-1

-2x=-1

x=1/2

2)25^4x=125

(5²)^4x=5³

(a^m)ⁿ=a^mn

5^8x=5³

8x=3

x=3/8