What is 100+20*ln((65)/(65-23)) ?

The solution to 100+20*ln((65)/(65-23)) is 100+20(ln(65)-ln(42))

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simplify 100+20*ln((65)/(65-23))

simplify

100 + 20 \cdot ln (\frac{65}{65 - 23})

100 + 20 (ln (65) - ln (42))

Decimal Notation

108.73435 \dots

Solution steps

100 + 20 ln (\frac{65}{65 - 23})

Apply log rule:

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

ln (\frac{65}{65 - 23}) = ln (65) - ln (65 - 23)

= 100 + 20 (ln (65) - ln (65 - 23))

Subtract the numbers:

65 - 23 = 42

= 100 + 20 (ln (65) - ln (42))

ln (\frac{4}{9}) \cdot \frac{20}{ln ( \frac{4}{11} )}

ln ((- 2.772)^{19.764})

\frac{1}{2} ln ∣ 2 (12) + 1 ∣ + 2 ln ∣ 12 - 1 ∣

ln (x sin (x) d x)

7 ln (\frac{6}{7}) - ln (6)

What is 100+20*ln((65)/(65-23)) ?
The solution to 100+20*ln((65)/(65-23)) is 100+20(ln(65)-ln(42))