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Popular >

simplify 2ln(2)-ln(3)

Solution

simplify

2 ln (2) - ln (3)

Solution

ln (\frac{4}{3})

+1

Decimal Notation

0.28768 \dots

Solution steps

2 ln (2) - ln (3)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{2} = 4

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

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lo g_{2} (\frac{3 x ^{2}}{( x - 1 ) ^{2}})

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

Frequently Asked Questions (FAQ)

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