What is ln(6500)-ln(4000) ?

The solution to ln(6500)-ln(4000) is ln(13/8)

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simplify ln(6500)-ln(4000)

simplify

ln (6500) - ln (4000)

ln (\frac{13}{8})

Decimal Notation

0.48550 \dots

Solution steps

ln (6500) - ln (4000)

Apply log rule:

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

ln (6500) - ln (4000) = ln (\frac{6500}{4000})

= ln (\frac{6500}{4000})

Cancel the common factor:

500

= ln (\frac{13}{8})

ln (\frac{15}{485})

\frac{1}{1599} ln (\frac{1}{2})

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