What is the answer to 10^{-3x^2+3x}=100^{3x-63} ?

The answer to 10^{-3x^2+3x}=100^{3x-63} is x=-7,x=6

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10^{-3x^2+3x}=100^{3x-63}

1 0^{- 3 x^{2} + 3 x} = 10 0^{3 x - 63}

x = - 7, x = 6

Solution steps

1 0^{- 3 x^{2} + 3 x} = 10 0^{3 x - 63}

Apply exponent rules

- 3 x^{2} + 3 x = 2 (3 x - 63)

Solve

- 3 x^{2} + 3 x = 2 (3 x - 63) : x = - 7, x = 6

x = - 7, x = 6

7^{6 x^{2} - 7} = \frac{1}{49}

7^{2 y + 1} + 7^{y} + 7^{y + 1} = 9

5^{3 x - 5} = 625

5^{x} = 19

5^{x} = - 2

What is the answer to 10^{-3x^2+3x}=100^{3x-63} ?
The answer to 10^{-3x^2+3x}=100^{3x-63} is x=-7,x=6
Solve for x: 10^{-3x^2+3x}=100^{3x-63}
The solution is x=-7,x=6