en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/5800 ln(1/2)

Solution

simplify

\frac{1}{5800} ln (\frac{1}{2})

Solution

- \frac{1}{5800} ln (2)

+1

Decimal Notation

- 0.00011 \dots

Solution steps

\frac{1}{5800} ln (\frac{1}{2})

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= \frac{1}{5800} (ln (1) - ln (2))

Apply log rule:

lo g_{a} (1) = 0

= \frac{1}{5800} (- ln (2) + 0)

0 - ln (2) = - ln (2)

= \frac{1}{5800} (- ln (2))

Remove parentheses:

(- a) = - a

= - \frac{1}{5800} ln (2)

Popular Examples

simplify 3log_{10}(4)+2log_{10}(x)simplify

3 lo g_{10} (4) + 2 lo g_{10} (x)

simplify ln(x/(y^5z))simplify

ln (\frac{x}{y ^{5} z})

simplify 3log_{10}(2)+2log_{10}(5)simplify

3 lo g_{10} (2) + 2 lo g_{10} (5)

simplify ln(3.61*10^{-11})simplify

ln (3.61 \cdot 1 0^{- 11})

simplify log_{10}((x^{15}y^{17})/(z^{13)})simplify

lo g_{10} (\frac{x ^{15} y ^{17}}{z ^{13}})

Frequently Asked Questions (FAQ)

What is 1/5800 ln(1/2) ?
The solution to 1/5800 ln(1/2) is -1/5800 ln(2)