What is the answer to 7^{6x^2-7}= 1/49 ?

The answer to 7^{6x^2-7}= 1/49 is x=sqrt(5/6),x=-sqrt(5/6)

Solve for x: 7^{6x^2-7}= 1/49

The solution is x=sqrt(5/6),x=-sqrt(5/6)

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

x = \frac{5}{6}, x = - \frac{5}{6}

Decimal Notation

x = 0.91287 \dots, x = - 0.91287 \dots

Solution steps

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

Apply exponent rules

6 x^{2} - 7 = - 2

Solve

6 x^{2} - 7 = - 2 : x = \frac{5}{6}, x = - \frac{5}{6}

x = \frac{5}{6}, x = - \frac{5}{6}

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

5^{3 x - 5} = 625

5^{x} = 19

5^{x} = - 2

1. 2^{x} = 2

What is the answer to 7^{6x^2-7}= 1/49 ?
The answer to 7^{6x^2-7}= 1/49 is x=sqrt(5/6),x=-sqrt(5/6)
Solve for x: 7^{6x^2-7}= 1/49
The solution is x=sqrt(5/6),x=-sqrt(5/6)