What is the answer to 5^{x^2+8}=125^{2x} ?

The answer to 5^{x^2+8}=125^{2x} is x=4,x=2

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5^{x^2+8}=125^{2x}

5^{x^{2} + 8} = 12 5^{2 x}

x = 4, x = 2

Solution steps

5^{x^{2} + 8} = 12 5^{2 x}

Apply exponent rules

x^{2} + 8 = 6 x

Solve

x^{2} + 8 = 6 x : x = 4, x = 2

x = 4, x = 2

3^{2 x} = 9^{3 - x}

5^{x - 1} = 25

w, x^{72} + x^{w} = x^{8}

7^{x} = 8

8^{x} = 512

What is the answer to 5^{x^2+8}=125^{2x} ?
The answer to 5^{x^2+8}=125^{2x} is x=4,x=2
Solve for x: 5^{x^2+8}=125^{2x}
The solution is x=4,x=2