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Popular >

simplify ln(2)-2ln(3)

Solution

simplify

ln (2) - 2 ln (3)

Solution

ln (\frac{2}{9})

+1

Decimal Notation

- 1.50407 \dots

Solution steps

ln (2) - 2 ln (3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (3) = ln (3^{2})

= ln (2) - ln (3^{2})

Apply log rule:

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

ln (2) - ln (3^{2}) = ln (\frac{2}{3 ^{2}})

= ln (\frac{2}{3 ^{2}})

3^{2} = 9

= ln (\frac{2}{9})

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Frequently Asked Questions (FAQ)

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