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

The answer to log_{2}(2x-3)=3 is x= 11/2

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

lo g_{2} (2 x - 3) = 3

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

lo g_{2} (2 x - 3) = 3

Apply log rules

2 x - 3 = 8

Solve

2 x - 3 = 8 : x = \frac{11}{2}

x = \frac{11}{2}

4 - lo g_{10} (4 - x) = 3

8 = lo g_{\frac{11}{10}} (t - 8)

ln (x + 3) = - 1

ln (3 x + 2) = 3 x

lo g_{10} (3 x) = - lo g_{10} (9)

What is the answer to log_{2}(2x-3)=3 ?
The answer to log_{2}(2x-3)=3 is x= 11/2
Solve for x: log_{2}(2x-3)=3
The solution is x= 11/2