What is ln((100+0.11)/(0.11)) ?

The solution to ln((100+0.11)/(0.11)) is ln(100.11)-ln(0.11)

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simplify ln((100+0.11)/(0.11))

simplify

ln (\frac{100 + 0.11}{0.11})

ln (100.11) - ln (0.11)

Decimal Notation

6.81354 \dots

Solution steps

ln (\frac{100 + 0.11}{0.11})

Apply log rule:

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

ln (\frac{100 + 0.11}{0.11}) = ln (100 + 0.11) - ln (0.11)

= ln (100 + 0.11) - ln (0.11)

Add the numbers:

100 + 0.11 = 100.11

= ln (100.11) - ln (0.11)

ln (\frac{0.5}{1.6})

\frac{1}{3} ln (\frac{49}{76})

- lo g_{10} (2.65 \cdot 1 0^{- 8})

1.76776 ln (\frac{1}{( 2 2 )}) + 0.61871

(\frac{0 + 5}{4})^{2} \cdot ln (\frac{0 + 5}{4})

What is ln((100+0.11)/(0.11)) ?
The solution to ln((100+0.11)/(0.11)) is ln(100.11)-ln(0.11)