en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{5}(1/20)

Solution

simplify

lo g_{5} (\frac{1}{20})

Solution

- lo g_{5} (20)

+1

Decimal Notation

- 1.86135 \dots

Solution steps

lo g_{5} (\frac{1}{20})

Apply log rule:

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

lo g_{5} (\frac{1}{20}) = lo g_{5} (1) - lo g_{5} (20)

= lo g_{5} (1) - lo g_{5} (20)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{5} (20)

0 - lo g_{5} (20) = - lo g_{5} (20)

= - lo g_{5} (20)

Popular Examples

simplify-log_{10}(3.2*10^{-6})simplify

- lo g_{10} (3.2 \cdot 1 0^{- 6})

simplify 1/(0.00499)ln((400-15)/(75-15))simplify

\frac{1}{0.00499} ln (\frac{400 - 15}{75 - 15})

simplify 10log_{10}((10^{-6}+10^{-6})/(10^{-12)})simplify

10 lo g_{10} (\frac{1 0 ^{- 6} + 1 0 ^{- 6}}{1 0 ^{- 12}})

simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5))simplify

- lo g_{10} (1.8 \cdot 1 0^{- 4}) + lo g_{10} (\frac{1}{1.5})

simplify ln(e^5*3^{2log_{3}(3)})simplify

ln (e^{5} \cdot 3^{2 l o g_{3} (3)})

Frequently Asked Questions (FAQ)

What is log_{5}(1/20) ?
The solution to log_{5}(1/20) is -log_{5}(20)