What is the answer to 5^{3x}=125^{2x-3} ?

The answer to 5^{3x}=125^{2x-3} is x=3

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5^{3x}=125^{2x-3}

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

x = 3

Solution steps

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

Apply exponent rules

3 x = 3 (2 x - 3)

Solve

3 x = 3 (2 x - 3) : x = 3

x = 3

7^{2 x + 3} = 7^{15}

2^{1 - x} = \frac{9}{4}

y, z = x^{y - w}

16 (4^{2 x}) - 65 (4^{x}) + 4 = 0

4^{1 + 2 x} \cdot 3^{4 x + 1} = 432

What is the answer to 5^{3x}=125^{2x-3} ?
The answer to 5^{3x}=125^{2x-3} is x=3
Solve for x: 5^{3x}=125^{2x-3}
The solution is x=3