What is the answer to 27^{-3x+2}= 1/243 ?

The answer to 27^{-3x+2}= 1/243 is x= 11/9

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27^{-3x+2}= 1/243

2 7^{- 3 x + 2} = \frac{1}{243}

x = \frac{11}{9}

Decimal Notation

x = 1.22222 \dots

Solution steps

2 7^{- 3 x + 2} = \frac{1}{243}

Apply exponent rules

3 (- 3 x + 2) = - 5

Solve

3 (- 3 x + 2) = - 5 : x = \frac{11}{9}

x = \frac{11}{9}

6 e^{\frac{x}{5}} = 2

6 - 4 e^{2 - 5 x} = - 11

3^{x} = 8 1^{x + 2}

2 = e^{0.09 t}

e^{2 t} = 1

What is the answer to 27^{-3x+2}= 1/243 ?
The answer to 27^{-3x+2}= 1/243 is x= 11/9
Solve for x: 27^{-3x+2}= 1/243
The solution is x= 11/9