What is the answer to 125^{x+2}=625^{x+6} ?

The answer to 125^{x+2}=625^{x+6} is x=-18

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125^{x+2}=625^{x+6}

12 5^{x + 2} = 62 5^{x + 6}

x = - 18

Solution steps

12 5^{x + 2} = 62 5^{x + 6}

Apply exponent rules

3 (x + 2) = 4 (x + 6)

Solve

3 (x + 2) = 4 (x + 6) : x = - 18

x = - 18

2^{3 x} = 8^{1 - x}

3 x + 3 = e^{x}

e^{1 - 2 x} = 4

(\frac{1}{6})^{x} = 216

2^{x} = e^{x + 1}

What is the answer to 125^{x+2}=625^{x+6} ?
The answer to 125^{x+2}=625^{x+6} is x=-18
Solve for x: 125^{x+2}=625^{x+6}
The solution is x=-18