What is the answer to 9^{x^2}*3^{7x}=81 ?

The answer to 9^{x^2}*3^{7x}=81 is x= 1/2 ,x=-4

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9^{x^2}*3^{7x}=81

9^{x^{2}} \cdot 3^{7 x} = 81

x = \frac{1}{2}, x = - 4

Decimal Notation

x = 0.5, x = - 4

Solution steps

9^{x^{2}} \cdot 3^{7 x} = 81

Apply exponent rules

2 x^{2} + 7 x = 4

Solve

2 x^{2} + 7 x = 4 : x = \frac{1}{2}, x = - 4

x = \frac{1}{2}, x = - 4

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

4^{x} + 2^{x} - 2 = 0

21 6^{x} = 26

9^{8 x - 7} = 1

4 \cdot 2^{x} = 2 x \cdot 2^{x}

What is the answer to 9^{x^2}*3^{7x}=81 ?
The answer to 9^{x^2}*3^{7x}=81 is x= 1/2 ,x=-4
Solve for x: 9^{x^2}*3^{7x}=81
The solution is x= 1/2 ,x=-4