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

The answer to log_{2}(x)+log_{2}(x+2)=3 is x=2

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

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

x = 2

Solution steps

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

Apply log rules

x (x + 2) = 8

Solve

x (x + 2) = 8 : x = 2, x = - 4

x = 2, x = - 4

Verify Solutions:

x = 2

True

, x = - 4

False

The solution is

x = 2

\frac{x}{lo g _{332} ( x ) + 1} = 15

lo g_{10} (81 x) = \frac{1}{4}

lo g_{10} (x) + lo g_{10} (x - 21) = 2

lo g_{3} (2 x + 1) + lo g_{3} (x + 8) = 3

ln (x - 1) = 1

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