What is the answer to 5^{x^2}=25^{4-x} ?

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

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5^{x^2}=25^{4-x}

5^{x^{2}} = 2 5^{4 - x}

x = 2, x = - 4

Solution steps

5^{x^{2}} = 2 5^{4 - x}

Apply exponent rules

x^{2} = 2 (4 - x)

Solve

x^{2} = 2 (4 - x) : x = 2, x = - 4

x = 2, x = - 4

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

3^{2 x - 1} = 81

128 = \frac{5 ^{2 n - 5}}{2 ^{4 n}}

2^{x} = 36

7^{3 x - 2} = 2401

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