What is the answer to 625^{3x}=125^{x+1} ?

The answer to 625^{3x}=125^{x+1} is x= 1/3

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625^{3x}=125^{x+1}

62 5^{3 x} = 12 5^{x + 1}

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

62 5^{3 x} = 12 5^{x + 1}

Apply exponent rules

12 x = 3 (x + 1)

Solve

12 x = 3 (x + 1) : x = \frac{1}{3}

x = \frac{1}{3}

3 x e^{x} - 8 e^{x} = 0

e^{2 x} + 2 e^{x} = + 24

3^{x^{2} + 6 x} = 9^{- 4}

6^{3 x - 2} = 4 \cdot 2^{x}

4^{a} + 4^{a - 2} = 34

What is the answer to 625^{3x}=125^{x+1} ?
The answer to 625^{3x}=125^{x+1} is x= 1/3
Solve for x: 625^{3x}=125^{x+1}
The solution is x= 1/3