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

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

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

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

x = 2

Solution steps

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

Move

lo g_{2} (2)

to the right side

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

Apply log rules

2 x = 4

Solve

2 x = 4 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{6} (x + 6) + lo g_{6} (x + 3) = 2

lo g_{x} (0.5) = 0.5

lo g_{2} (5 x) + 2 lo g_{2} (7) = 3

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

- 10 = 20 lo g_{10} (x)

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