What is the answer to 3\times 9^x\times 27^x=1 ?

The answer to 3\times 9^x\times 27^x=1 is x=-1/5

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3\times 9^x\times 27^x=1

3 \cdot 9^{x} \cdot 2 7^{x} = 1

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

3 \cdot 9^{x} \cdot 2 7^{x} = 1

Apply exponent rules

5 x = - 1

Solve

5 x = - 1 : x = - \frac{1}{5}

x = - \frac{1}{5}

e^{4 x} = e^{x^{2} - 12}

e^{x} = 4

9 e^{3 x} = 27 e^{- 7 x}

2 e^{x} - e^{- x} = 0

25 6^{x + 5} = 6 4^{2 x + 4}

What is the answer to 3\times 9^x\times 27^x=1 ?
The answer to 3\times 9^x\times 27^x=1 is x=-1/5
Solve for x: 3\times 9^x\times 27^x=1
The solution is x=-1/5