What is the answer to 3^{x^2-8}= 1/81 ?

The answer to 3^{x^2-8}= 1/81 is x=2,x=-2

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3^{x^2-8}= 1/81

3^{x^{2} - 8} = \frac{1}{81}

x = 2, x = - 2

Solution steps

3^{x^{2} - 8} = \frac{1}{81}

Apply exponent rules

x^{2} - 8 = - 4

Solve

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

x = 2, x = - 2

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

2 x e^{x} + e^{x} (x^{2} - 3) = 0

e^{2 x} = 3 e^{- \frac{1}{4} x}

\frac{a ^{20}}{a ^{x}} = a^{3}

x, 3^{1 - 2 x} = 4^{x}

What is the answer to 3^{x^2-8}= 1/81 ?
The answer to 3^{x^2-8}= 1/81 is x=2,x=-2
Solve for x: 3^{x^2-8}= 1/81
The solution is x=2,x=-2