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Popular >

simplify log_{2}(1/144)

Solution

simplify

lo g_{2} (\frac{1}{144})

Solution

- 2 lo g_{2} (12)

+1

Decimal Notation

- 7.16992 \dots

Solution steps

lo g_{2} (\frac{1}{144})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{2} (\frac{1}{144}) = lo g_{2} (1) - lo g_{2} (144)

= lo g_{2} (1) - lo g_{2} (144)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{2} (144)

0 - lo g_{2} (144) = - lo g_{2} (144)

= - lo g_{2} (144)

Simplify

lo g_{2} (144) : 2 lo g_{2} (12)

= - 2 lo g_{2} (12)

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Frequently Asked Questions (FAQ)

What is log_{2}(1/144) ?
The solution to log_{2}(1/144) is -2log_{2}(12)