What is the answer to 27^{3x}=9^{x+2} ?

The answer to 27^{3x}=9^{x+2} is x= 4/7

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

2 7^{3 x} = 9^{x + 2}

x = \frac{4}{7}

Decimal Notation

x = 0.57142 \dots

Solution steps

2 7^{3 x} = 9^{x + 2}

Apply exponent rules

9 x = 2 (x + 2)

Solve

9 x = 2 (x + 2) : x = \frac{4}{7}

x = \frac{4}{7}

2 = x + e^{x}

2^{x} = \frac{2}{2}

17 = 2^{n}

1 0^{5} = (1 0^{- 13}) (1 0^{x})

3^{x + 1} + 3^{x - 1} + 3^{x} = 351