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Popular >

simplify log_{2}(1/100)

Solution

simplify

lo g_{2} (\frac{1}{100})

Solution

- 2 lo g_{2} (10)

+1

Decimal Notation

- 6.64385 \dots

Solution steps

lo g_{2} (\frac{1}{100})

Apply log rule:

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

lo g_{2} (\frac{1}{100}) = lo g_{2} (1) - lo g_{2} (100)

= lo g_{2} (1) - lo g_{2} (100)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{2} (100)

0 - lo g_{2} (100) = - lo g_{2} (100)

= - lo g_{2} (100)

Simplify

lo g_{2} (100) : 2 lo g_{2} (10)

= - 2 lo g_{2} (10)

Popular Examples

simplify-log_{10}(9*10^{-5})simplify

- lo g_{10} (9 \cdot 1 0^{- 5})

simplify x+ln(x)+ln(2)simplify

x + ln (x) + ln (2)

simplify 2ln(5)-3ln(2)-ln(20)simplify

2 ln (5) - 3 ln (2) - ln (20)

simplify log_{2}(1/(0.3))+1 simplify

lo g_{2} (\frac{1}{0.3}) + 1

simplify-log_{10}(1.37*10^{-4})simplify

- lo g_{10} (1.37 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is log_{2}(1/100) ?
The solution to log_{2}(1/100) is -2log_{2}(10)