What is (ln(29500)-ln(100))/(ln(75000)-ln(100)) ?

The solution to (ln(29500)-ln(100))/(ln(75000)-ln(100)) is (ln(295))/(ln(750))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln(29500)-ln(100))/(ln(75000)-ln(100))

simplify

\frac{ln ( 29500 ) - ln ( 100 )}{ln ( 75000 ) - ln ( 100 )}

\frac{ln ( 295 )}{ln ( 750 )}

Decimal Notation

0.85905 \dots

Solution steps

\frac{ln ( 29500 ) - ln ( 100 )}{ln ( 75000 ) - ln ( 100 )}

Apply log rule:

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

ln (29500) - ln (100) = ln (\frac{29500}{100})

= \frac{ln ( \frac{29500}{100} )}{ln ( 75000 ) - ln ( 100 )}

Divide the numbers:

\frac{29500}{100} = 295

= \frac{ln ( 295 )}{ln ( 75000 ) - ln ( 100 )}

Apply log rule:

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

ln (75000) - ln (100) = ln (\frac{75000}{100})

= \frac{ln ( 295 )}{ln ( \frac{75000}{100} )}

Divide the numbers:

\frac{75000}{100} = 750

= \frac{ln ( 295 )}{ln ( 750 )}

ln (\frac{1.5}{11})

ln (\frac{x ^{2} - x - 2}{( x + 4 ) ^{2}})

\frac{600 ln ( 2 )}{3 ln ( 2 ) - ln ( 3 )}

20 lo g_{10} (\frac{π}{4})

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

What is (ln(29500)-ln(100))/(ln(75000)-ln(100)) ?
The solution to (ln(29500)-ln(100))/(ln(75000)-ln(100)) is (ln(295))/(ln(750))