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

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

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

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Apply log rules

2 x - 1 = 2

Solve

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

x = \frac{3}{2}

ln (8 x - 1) = - 4

ln (2 + x^{2}) = 1 + 2 ln (x)

4 lo g_{y} (2) + lo g_{2} (y) = 4

10 lo g_{10} (x) = - 1

lo g_{4} (x + 3) + lo g_{4} (2 - x) = 1

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