What is the answer to 25^{x^2}*5^{5x}=125 ?

The answer to 25^{x^2}*5^{5x}=125 is x= 1/2 ,x=-3

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25^{x^2}*5^{5x}=125

2 5^{x^{2}} \cdot 5^{5 x} = 125

x = \frac{1}{2}, x = - 3

Decimal Notation

x = 0.5, x = - 3

Solution steps

2 5^{x^{2}} \cdot 5^{5 x} = 125

Apply exponent rules

2 x^{2} + 5 x = 3

Solve

2 x^{2} + 5 x = 3 : x = \frac{1}{2}, x = - 3

x = \frac{1}{2}, x = - 3

4^{- 9 y} = 7

9^{x + 2} + 18 \cdot 3^{x - 1} = 11

e^{x} = 7 e^{- 2 x}

2 (8^{n}) = 4^{1007}

3^{3 x - 8} = \frac{1}{9}

What is the answer to 25^{x^2}*5^{5x}=125 ?
The answer to 25^{x^2}*5^{5x}=125 is x= 1/2 ,x=-3
Solve for x: 25^{x^2}*5^{5x}=125
The solution is x= 1/2 ,x=-3