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Popular >

simplify ln(3)-2ln(2)

Solution

simplify

ln (3) - 2 ln (2)

Solution

ln (\frac{3}{4})

+1

Decimal Notation

- 0.28768 \dots

Solution steps

ln (3) - 2 ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{2} = 4

= ln (\frac{3}{4})

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Frequently Asked Questions (FAQ)

What is ln(3)-2ln(2) ?
The solution to ln(3)-2ln(2) is ln(3/4)