What is the answer to 7^{x^2}-49^{6-2x}=0 ?

The answer to 7^{x^2}-49^{6-2x}=0 is x=2,x=-6

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7^{x^2}-49^{6-2x}=0

7^{x^{2}} - 4 9^{6 - 2 x} = 0

x = 2, x = - 6

Solution steps

7^{x^{2}} - 4 9^{6 - 2 x} = 0

Add

4 9^{6 - 2 x}

to both sides

7^{x^{2}} - 4 9^{6 - 2 x} + 4 9^{6 - 2 x} = 0 + 4 9^{6 - 2 x}

Simplify

7^{x^{2}} = 4 9^{6 - 2 x}

Apply exponent rules

x^{2} = 2 (6 - 2 x)

Solve

x^{2} = 2 (6 - 2 x) : x = 2, x = - 6

x = 2, x = - 6

7^{6 x + 7} = 2

x + 5 = 5^{x}

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

2 e^{2 x} + 5 e^{x} - 3 = 0

What is the answer to 7^{x^2}-49^{6-2x}=0 ?
The answer to 7^{x^2}-49^{6-2x}=0 is x=2,x=-6
Solve for x: 7^{x^2}-49^{6-2x}=0
The solution is x=2,x=-6