What is ln(10000)-ln(9500) ?

The solution to ln(10000)-ln(9500) is ln(20/19)

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simplify ln(10000)-ln(9500)

simplify

ln (10000) - ln (9500)

ln (\frac{20}{19})

Decimal Notation

0.05129 \dots

Solution steps

ln (10000) - ln (9500)

Apply log rule:

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

ln (10000) - ln (9500) = ln (\frac{10000}{9500})

= ln (\frac{10000}{9500})

Cancel the common factor:

500

= ln (\frac{20}{19})

ln (\frac{30.6}{30})

2 lo g_{e} (5) + lo g_{e} (\frac{π ^{9}}{8})

- lo g_{10} (6.86 \cdot 1 0^{- 8})

2 x + ln (cos (3 x)) - \frac{1}{2} ln (x - 4)

- \frac{ln ( \frac{5}{22} )}{2 ln ( \frac{110}{7} )}