What is ln((31650-20000)/(120000-0)) ?

The solution to ln((31650-20000)/(120000-0)) is ln(11650)-ln(120000)

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simplify ln((31650-20000)/(120000-0))

simplify

ln (\frac{31650 - 20000}{120000 - 0})

ln (11650) - ln (120000)

Decimal Notation

- 2.33218 \dots

Solution steps

ln (\frac{31650 - 20000}{120000 - 0})

Apply log rule:

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

ln (\frac{31650 - 20000}{120000 - 0}) = ln (31650 - 20000) - ln (120000 - 0)

= ln (31650 - 20000) - ln (120000 - 0)

Subtract the numbers:

31650 - 20000 = 11650

= ln (11650) - ln (120000 - 0)

Subtract the numbers:

120000 - 0 = 120000

= ln (11650) - ln (120000)

- ln (\frac{- t}{t + 1})

- 20.96 + 1.045 ln (e) + 3.33 ln (g) - 0.165 ln (g^{2})

\frac{ln ( 90 )}{2 ln ( 2 )} - 1

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What is ln((31650-20000)/(120000-0)) ?
The solution to ln((31650-20000)/(120000-0)) is ln(11650)-ln(120000)