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Popular >

simplify 2ln(4)-ln(3)

Solution

simplify

2 ln (4) - ln (3)

Solution

ln (\frac{16}{3})

+1

Solution steps

2 ln (4) - ln (3)

Apply log rule:

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

2 ln (4) = ln (4^{2})

= ln (4^{2}) - ln (3)

Apply log rule:

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

ln (4^{2}) - ln (3) = ln (\frac{4 ^{2}}{3})

= ln (\frac{4 ^{2}}{3})

4^{2} = 16

= ln (\frac{16}{3})

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Frequently Asked Questions (FAQ)

What is 2ln(4)-ln(3) ?
The solution to 2ln(4)-ln(3) is ln(16/3)