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

The answer to log_{1/2}(2x-3)=-2 is x= 7/2

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log_{1/2}(2x-3)=-2

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

x = \frac{7}{2}

Decimal

x = 3.5

Solution steps

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

Apply log rules

2 x - 3 = 4

Solve

2 x - 3 = 4 : x = \frac{7}{2}

x = \frac{7}{2}

ln (7 x + 3) = 1

5 = - lo g_{10} (x)

ln (4 x - 200) = 5

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

2 ln (x) - ln (7) = ln (112)

What is the answer to log_{1/2}(2x-3)=-2 ?
The answer to log_{1/2}(2x-3)=-2 is x= 7/2
Solve for x: log_{1/2}(2x-3)=-2
The solution is x= 7/2