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Popular >

simplify 3ln(4)-ln(4/3)

Solution

simplify

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

Solution

ln (48)

+1

Decimal Notation

3.87120 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{4 ^{3}}{\frac{4}{3}} = 48

= ln (48)

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Frequently Asked Questions (FAQ)

What is 3ln(4)-ln(4/3) ?
The solution to 3ln(4)-ln(4/3) is ln(48)