Answer:
-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
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