What is 100+20*ln((65)/(65-64)) ?

The solution to 100+20*ln((65)/(65-64)) is 100+20ln(65)

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simplify 100+20*ln((65)/(65-64))

simplify

100 + 20 \cdot ln (\frac{65}{65 - 64})

100 + 20 ln (65)

Decimal Notation

183.48774 \dots

Solution steps

100 + 20 ln (\frac{65}{65 - 64})

Apply log rule:

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

ln (\frac{65}{65 - 64}) = ln (65) - ln (65 - 64)

= 100 + 20 (ln (65) - ln (65 - 64))

20 (ln (65) - ln (65 - 64)) = 20 ln (65)

= 100 + 20 ln (65)

- lo g_{10} (3.25 \cdot 1 0^{- 4})

ln (40) - ln (40 - 10000)

36 lo g_{3} (a) - 6 lo g_{3} (b)

lo g_{10} (5 \cdot 1 0^{- 4})

\frac{ln ( 5 )}{2 ln ( 3 )} - 9

What is 100+20*ln((65)/(65-64)) ?
The solution to 100+20*ln((65)/(65-64)) is 100+20ln(65)