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Popular >

simplify log_{10}(1/20)

Solution

simplify

lo g_{10} (\frac{1}{20})

Solution

- lo g_{10} (20)

+1

Decimal Notation

- 1.30102 \dots

Solution steps

lo g_{10} (\frac{1}{20})

Apply log rule:

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

lo g_{10} (\frac{1}{20}) = lo g_{10} (1) - lo g_{10} (20)

= lo g_{10} (1) - lo g_{10} (20)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{10} (20)

0 - lo g_{10} (20) = - lo g_{10} (20)

= - lo g_{10} (20)

Popular Examples

simplify 10*log_{10}((2*10^{-2})/(10^{-12)})simplify

10 \cdot lo g_{10} (\frac{2 \cdot 1 0 ^{- 2}}{1 0 ^{- 12}})

simplify ln(4/13)simplify

ln (\frac{4}{13})

simplify log_{7}(14/49)-ln(2)simplify

lo g_{7} (\frac{14}{49}) - ln (2)

simplify ln(2c)simplify

ln (2 c)

simplify 2log_{b}(q)+3log_{b}(y)simplify

2 lo g_{b} (q) + 3 lo g_{b} (y)

Frequently Asked Questions (FAQ)

What is log_{10}(1/20) ?
The solution to log_{10}(1/20) is -log_{10}(20)