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Popular >

simplify 2ln(3)-ln(2)

Solution

simplify

2 ln (3) - ln (2)

Solution

ln (\frac{9}{2})

+1

Decimal Notation

1.50407 \dots

Solution steps

2 ln (3) - ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

3^{2} = 9

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

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Frequently Asked Questions (FAQ)

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