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

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

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5^{x^2+2x}=125

5^{x^{2} + 2 x} = 125

x = 1, x = - 3

Solution steps

5^{x^{2} + 2 x} = 125

Apply exponent rules

x^{2} + 2 x = 3

Solve

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

x = 1, x = - 3

5^{x} + 5^{2 x - 2} - 2 5^{x - 1} = 5^{2 x - 3}

x, z^{2} = 3^{10} + 3^{x}

3 (1 2^{- 11 - x}) + 8 = 2501

e^{x} - e^{- x} - 6 = - 10

3^{x} + 20 = 28