What is the answer to 3^{x^2}=9^{x+4} ?

The answer to 3^{x^2}=9^{x+4} is x=4,x=-2

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3^{x^2}=9^{x+4}

3^{x^{2}} = 9^{x + 4}

x = 4, x = - 2

Solution steps

3^{x^{2}} = 9^{x + 4}

Apply exponent rules

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

Solve

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

x = 4, x = - 2

9^{x - 5} = 1 2^{x}

4^{x} + 4^{x + 1} = 20 \cdot 4

2 \cdot 527 = \frac{6}{3 ^{x}}

\frac{2 ^{2 x + 3}}{2 ^{3 x - 1}} = 64

4^{x + 1} = 64 \cdot 2^{x + 1}

What is the answer to 3^{x^2}=9^{x+4} ?
The answer to 3^{x^2}=9^{x+4} is x=4,x=-2
Solve for x: 3^{x^2}=9^{x+4}
The solution is x=4,x=-2