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

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

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(1/3)^{3x}=27^{x-1}

(\frac{1}{3})^{3 x} = 2 7^{x - 1}

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

(\frac{1}{3})^{3 x} = 2 7^{x - 1}

Apply exponent rules

- 3 x = 3 (x - 1)

Solve

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

x = \frac{1}{2}

6^{x + 2} = 21

18 = 5 e^{x + 3}

2^{2 x} + 2 (2^{x}) - 15 = 0

2 5^{x^{2}} \cdot 5^{5 x} = 125

4^{- 9 y} = 7

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