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Popular >

simplify 21ln(2)-ln(3)

Solution

simplify

21 ln (2) - ln (3)

Solution

ln (\frac{2097152}{3})

+1

Solution steps

21 ln (2) - ln (3)

Apply log rule:

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

21 ln (2) = ln (2^{21})

= ln (2^{21}) - ln (3)

Apply log rule:

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

ln (2^{21}) - ln (3) = ln (\frac{2 ^{21}}{3})

= ln (\frac{2 ^{21}}{3})

2^{21} = 2097152

= ln (\frac{2097152}{3})

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Frequently Asked Questions (FAQ)

What is 21ln(2)-ln(3) ?
The solution to 21ln(2)-ln(3) is ln(2097152/3)