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Popular >

simplify ln(9/11)

Solution

simplify

ln (\frac{9}{11})

Solution

2 ln (3) - ln (11)

+1

Decimal Notation

- 0.20067 \dots

Solution steps

ln (\frac{9}{11})

Apply log rule:

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

ln (\frac{9}{11}) = ln (9) - ln (11)

= ln (9) - ln (11)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (11)

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Frequently Asked Questions (FAQ)

What is ln(9/11) ?
The solution to ln(9/11) is 2ln(3)-ln(11)