Question

Can anyone help me with letter C in this question? I can’t get it right

Answer 1

-5/6

Explanation:

(25/4)^(3x) = 32/3125

Rewrite as powers of 2 and 5:

(5²/2²)^(3x) = 2⁵/5⁵

Rewrite the left side as the inverse:

(2²/5²)^(-3x) = 2⁵/5⁵

Solve for the exponent:

-3x = 5/2

Solve for x:

x = -5/6