What is 100+20*ln((65)/(65-30)) ?

The solution to 100+20*ln((65)/(65-30)) is 100+20(ln(65)-ln(35))

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simplify 100+20*ln((65)/(65-30))

simplify

100 + 20 \cdot ln (\frac{65}{65 - 30})

100 + 20 (ln (65) - ln (35))

Decimal Notation

112.38078 \dots

Solution steps

100 + 20 ln (\frac{65}{65 - 30})

Apply log rule:

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

ln (\frac{65}{65 - 30}) = ln (65) - ln (65 - 30)

= 100 + 20 (ln (65) - ln (65 - 30))

Subtract the numbers:

65 - 30 = 35

= 100 + 20 (ln (65) - ln (35))

20 e^{3 (3)} - ln ∣ 3 - 9 ∣ + 2 ln (3) + 50

\frac{1}{4} lo g_{10} (x) - \frac{1}{4} lo g_{10} (y)

lo g_{10} (3 x - 1) + lo g_{10} (x - 1)

lo g_{6} (\frac{( x y ) ^{6}}{z})^{4}

ln (\frac{e ^{4 x}}{x ^{2} + 1})

What is 100+20*ln((65)/(65-30)) ?
The solution to 100+20*ln((65)/(65-30)) is 100+20(ln(65)-ln(35))