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

The answer to (1/2)^{x-1}=2^{3x-4} is x= 5/4

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

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

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

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

Apply exponent rules

- (x - 1) = 3 x - 4

Solve

- (x - 1) = 3 x - 4 : x = \frac{5}{4}

x = \frac{5}{4}

6^{2 x} = 3 \cdot 2^{x}

x, 2^{x} = 5

9^{x + 4} = 2 7^{x}

2 5^{x + 2} = 5^{3 x - 4}

2^{x + 1} = 1 0^{- x}

What is the answer to (1/2)^{x-1}=2^{3x-4} ?
The answer to (1/2)^{x-1}=2^{3x-4} is x= 5/4
Solve for x: (1/2)^{x-1}=2^{3x-4}
The solution is x= 5/4