What is the answer to log_{2}(8x)-3log_{2}(4)=3 ?

The answer to log_{2}(8x)-3log_{2}(4)=3 is x=64

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log_{2}(8x)-3log_{2}(4)=3

lo g_{2} (8 x) - 3 lo g_{2} (4) = 3

x = 64

Solution steps

lo g_{2} (8 x) - 3 lo g_{2} (4) = 3

Move

3 lo g_{2} (4)

to the right side

lo g_{2} (8 x) = 3 + 3 lo g_{2} (4)

Apply log rules

8 x = 512

Solve

8 x = 512 : x = 64

x = 64

Verify Solutions:

x = 64

True

The solution is

x = 64

ln (x + 4) + ln (3) = 8

lo g_{x} (2 x^{2} - 9 x + 18) = 2

2 lo g_{10} (4 x) - lo g_{10} (49) = 2

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

\frac{3}{2} = lo g_{4} (x)

What is the answer to log_{2}(8x)-3log_{2}(4)=3 ?
The answer to log_{2}(8x)-3log_{2}(4)=3 is x=64
Solve for x: log_{2}(8x)-3log_{2}(4)=3
The solution is x=64