What is the answer to 3125^{x+4}=25^{2x-2} ?

The answer to 3125^{x+4}=25^{2x-2} is x=-24

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3125^{x+4}=25^{2x-2}

312 5^{x + 4} = 2 5^{2 x - 2}

x = - 24

Solution steps

312 5^{x + 4} = 2 5^{2 x - 2}

Apply exponent rules

5 (x + 4) = 2 (2 x - 2)

Solve

5 (x + 4) = 2 (2 x - 2) : x = - 24

x = - 24

5 e^{0.01 t} = 2 e^{0.02 t}

34 3^{x} = 4 9^{4 - x}

4 9^{3 x} = \frac{1}{343}

5 - 3 e^{x} = 2

92 \cdot 3^{4 x} = 27

What is the answer to 3125^{x+4}=25^{2x-2} ?
The answer to 3125^{x+4}=25^{2x-2} is x=-24
Solve for x: 3125^{x+4}=25^{2x-2}
The solution is x=-24