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

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

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

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Apply exponent rules

2 x + 6 = 6 x

Solve

2 x + 6 = 6 x : x = \frac{3}{2}

x = \frac{3}{2}

0.125 = 2^{- d}

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

e^{x} = 19

e^{x} = 27

3 (2)^{x} = 51

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