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

The answer to (27)^{2x+1}= 1/3 is x=-2/3

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(27)^{2x+1}= 1/3

(27)^{2 x + 1} = \frac{1}{3}

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

(27)^{2 x + 1} = \frac{1}{3}

Apply exponent rules

3 (2 x + 1) = - 1

Solve

3 (2 x + 1) = - 1 : x = - \frac{2}{3}

x = - \frac{2}{3}

2^{2 x - 2} = 1

e^{x} = 99

27 \cdot 3^{2 x + 3} = 9^{3 x}

0.125 = 2^{- d}

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

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