What is the answer to 5^{x^2}*25^{x-1}=5^{3x} ?

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

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5^{x^2}*25^{x-1}=5^{3x}

5^{x^{2}} \cdot 2 5^{x - 1} = 5^{3 x}

x = 2, x = - 1

Solution steps

5^{x^{2}} \cdot 2 5^{x - 1} = 5^{3 x}

Apply exponent rules

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

Solve

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

x = 2, x = - 1

4^{2 x} - 6 \cdot 4^{2 x} = - 20

2500 = 2000 (1.04)^{x}

lo g_{10} (3^{x}) = 81

1 5^{- 3 y} = 8

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