What is 100+20*ln((65)/(65-21)) ?

The solution to 100+20*ln((65)/(65-21)) is 100+20(ln(65)-ln(44))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 100+20*ln((65)/(65-21))

simplify

100 + 20 \cdot ln (\frac{65}{65 - 21})

100 + 20 (ln (65) - ln (44))

Decimal Notation

107.80395 \dots

Solution steps

100 + 20 ln (\frac{65}{65 - 21})

Apply log rule:

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

ln (\frac{65}{65 - 21}) = ln (65) - ln (65 - 21)

= 100 + 20 (ln (65) - ln (65 - 21))

Subtract the numbers:

65 - 21 = 44

= 100 + 20 (ln (65) - ln (44))

\frac{1}{3} ln (\frac{2}{3})

- lo g_{10} (3.34272 \cdot 1 0^{- 3})

\frac{60}{2.5} ln (\frac{0.116}{0.039})

\frac{125 \cdot 1.5}{200 \cdot 25 \cdot 50} \cdot ln (\frac{150}{100})

- \frac{1}{3} ln (5 + 1) + \frac{1}{3} ln (5 - 2)

What is 100+20*ln((65)/(65-21)) ?
The solution to 100+20*ln((65)/(65-21)) is 100+20(ln(65)-ln(44))