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05-11-2019
Mathematics

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

Can anyone help me with letter C in this question I cant get it right class=

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MathPhys MathPhys

05-11-2019

Answer:

-5/6

Step-by-step 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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