What is the answer to log_{2}(x)-3log_{2}(x)=6 ?

The answer to log_{2}(x)-3log_{2}(x)=6 is x= 1/8

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log_{2}(x)-3log_{2}(x)=6

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

x = \frac{1}{8}

Decimal Notation

x = 0.125

Solution steps

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

Add similar elements:

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

- 2 lo g_{2} (x) = 6

Divide both sides by

- 2

lo g_{2} (x) = - 3

Apply log rules

x = \frac{1}{8}

Verify Solutions:

x = \frac{1}{8}

True

The solution is

x = \frac{1}{8}

lo g_{x} (2) = 0

lo g_{x} (2) = 5

3 + 2 ln (x^{2}) = 7

8 lo g_{2} (7 p - 5) - 4 = 28

3076 = - lo g_{10} (x)

What is the answer to log_{2}(x)-3log_{2}(x)=6 ?
The answer to log_{2}(x)-3log_{2}(x)=6 is x= 1/8
Solve for x: log_{2}(x)-3log_{2}(x)=6
The solution is x= 1/8