What is the answer to 49^x*7^{x^2}=2401^2 ?

The answer to 49^x*7^{x^2}=2401^2 is x=2,x=-4

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49^x*7^{x^2}=2401^2

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

x = 2, x = - 4

Solution steps

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

Apply exponent rules

2 x + x^{2} = 8

Solve

2 x + x^{2} = 8 : x = 2, x = - 4

x = 2, x = - 4

2500 = 5000 e^{100 x}

3^{2 x} = 2

3^{3 x - 7} = \frac{1}{81}

1.0 4^{n} = 1.28858

3 6^{2 x + 5} = 6^{3 x + 1}

What is the answer to 49^x*7^{x^2}=2401^2 ?
The answer to 49^x*7^{x^2}=2401^2 is x=2,x=-4
Solve for x: 49^x*7^{x^2}=2401^2
The solution is x=2,x=-4