What is the answer to 25^{2x-3}=125^{x+4} ?

The answer to 25^{2x-3}=125^{x+4} is x=18

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25^{2x-3}=125^{x+4}

2 5^{2 x - 3} = 12 5^{x + 4}

x = 18

Solution steps

2 5^{2 x - 3} = 12 5^{x + 4}

Apply exponent rules

2 (2 x - 3) = 3 (x + 4)

Solve

2 (2 x - 3) = 3 (x + 4) : x = 18

x = 18

8^{l o g_{4} (x)} = 64

10 (1 + e^{- x})^{- 1} = 3

\frac{1}{27} = 3^{x}

(\frac{3}{4})^{x} = 0

3^{4 x} = 1

What is the answer to 25^{2x-3}=125^{x+4} ?
The answer to 25^{2x-3}=125^{x+4} is x=18
Solve for x: 25^{2x-3}=125^{x+4}
The solution is x=18