What is (ln(18677)-ln(100))/(ln(75000)-ln(100)) ?

The solution to (ln(18677)-ln(100))/(ln(75000)-ln(100)) is (ln(18677/100))/(ln(750))

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simplify (ln(18677)-ln(100))/(ln(75000)-ln(100))

simplify

\frac{ln ( 18677 ) - ln ( 100 )}{ln ( 75000 ) - ln ( 100 )}

\frac{ln ( \frac{18677}{100} )}{ln ( 750 )}

Decimal

0.79000 \dots

Solution steps

\frac{ln ( 18677 ) - ln ( 100 )}{ln ( 75000 ) - ln ( 100 )}

Apply log rule:

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

ln (18677) - ln (100) = ln (\frac{18677}{100})

= \frac{ln ( \frac{18677}{100} )}{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 ( \frac{18677}{100} )}{ln ( \frac{75000}{100} )}

Divide the numbers:

\frac{75000}{100} = 750

= \frac{ln ( \frac{18677}{100} )}{ln ( 750 )}

\frac{ln ( 2 ) - ln ( 1 0 ^{- 3} )}{ln ( 2 )}

\frac{- ln ( 2 )}{ln ( 364 ) - ln ( 365 )} + 1

lo g_{c} (x^{3})

3 ln (x + 2) - 3 ln (x)

lo g_{10} (\frac{z ^{3} y ^{4}}{x ^{5}})

What is (ln(18677)-ln(100))/(ln(75000)-ln(100)) ?
The solution to (ln(18677)-ln(100))/(ln(75000)-ln(100)) is (ln(18677/100))/(ln(750))