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

The answer to log_{2}(2x)-3log_{2}(2)=3 is x=32

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

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

x = 32

Solution steps

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

Move

3 lo g_{2} (2)

to the right side

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

Apply log rules

2 x = 64

Solve

2 x = 64 : x = 32

x = 32

Verify Solutions:

x = 32

True

The solution is

x = 32

ln (x) = 2.85

- 2 lo g_{5} (3) = lo g_{5} (x)

lo g_{x} (729) = 3

lo g_{n} (1 0^{- 9}) = 20

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

What is the answer to log_{2}(2x)-3log_{2}(2)=3 ?
The answer to log_{2}(2x)-3log_{2}(2)=3 is x=32
Solve for x: log_{2}(2x)-3log_{2}(2)=3
The solution is x=32