What is the answer to 3^{-x}=81(3^x)^2 ?

The answer to 3^{-x}=81(3^x)^2 is x=-4/3

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3^{-x}=81(3^x)^2

3^{- x} = 81 (3^{x})^{2}

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

3^{- x} = 81 (3^{x})^{2}

Apply exponent rules

- x = x \cdot 2 + 4

Solve

- x = x \cdot 2 + 4 : x = - \frac{4}{3}

x = - \frac{4}{3}

2 7^{x - 1} = 81

120 e^{0.035 t} = 330 e^{- 0.005 t}

x, 8 y = 3 e^{x}

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

e^{(2 x + 3)} = 37

What is the answer to 3^{-x}=81(3^x)^2 ?
The answer to 3^{-x}=81(3^x)^2 is x=-4/3
Solve for x: 3^{-x}=81(3^x)^2
The solution is x=-4/3