What is the answer to 25^x*5^{x^2}=625^2 ?

The answer to 25^x*5^{x^2}=625^2 is x=2,x=-4

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25^x*5^{x^2}=625^2

2 5^{x} \cdot 5^{x^{2}} = 62 5^{2}

x = 2, x = - 4

Solution steps

2 5^{x} \cdot 5^{x^{2}} = 62 5^{2}

Apply exponent rules

2 x + x^{2} = 8

Solve

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

x = 2, x = - 4

2^{4 x} = 256

y, (6 x)^{y} = 3 d + 4

- 6^{2 x} + 5 = - 18.5

8^{6 x - 5} 2^{3 x + 1} = 2^{8 x + 9}

3^{x - 5} = 7

What is the answer to 25^x*5^{x^2}=625^2 ?
The answer to 25^x*5^{x^2}=625^2 is x=2,x=-4
Solve for x: 25^x*5^{x^2}=625^2
The solution is x=2,x=-4