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

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

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

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

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

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

Apply exponent rules

2 (2 x - 1) = - 1

Solve

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

x = \frac{1}{4}

2^{x + 4} = 5

2^{3 x} = 6^{x + 2}

5^{2 x - 13} = 25

\frac{2 e ^{x}}{4} = 9

17.3 = e^{1.1 x}