What is the answer to 3^{4-2x}= 1/(27^{x-1)} ?

The answer to 3^{4-2x}= 1/(27^{x-1)} is x=-1

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3^{4-2x}= 1/(27^{x-1)}

3^{4 - 2 x} = \frac{1}{2 7 ^{x - 1}}

x = - 1

Solution steps

3^{4 - 2 x} = \frac{1}{2 7 ^{x - 1}}

Apply exponent rules

4 - 2 x = 3 (- x + 1)

Solve

4 - 2 x = 3 (- x + 1) : x = - 1

x = - 1

Verify Solutions:

x = - 1

True

The solution is

x = - 1

2^{- x} = x

6^{2 - x} = 4^{3 x}

2^{x} = 1000000

2^{2 x} = 2^{3}

2 7^{x - 1} = 9^{2 x - 3}

What is the answer to 3^{4-2x}= 1/(27^{x-1)} ?
The answer to 3^{4-2x}= 1/(27^{x-1)} is x=-1
Solve for x: 3^{4-2x}= 1/(27^{x-1)}
The solution is x=-1