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Popular >

simplify-3ln(3)+6ln(2)

Solution

simplify

- 3 ln (3) + 6 ln (2)

Solution

ln (\frac{64}{27})

+1

Decimal Notation

0.86304 \dots

Solution steps

- 3 ln (3) + 6 ln (2)

Apply log rule:

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

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

= - ln (3^{3}) + 6 ln (2)

Apply log rule:

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

6 ln (2) = ln (2^{6})

= - ln (3^{3}) + ln (2^{6})

Apply log rule:

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

ln (2^{6}) - ln (3^{3}) = ln (\frac{2 ^{6}}{3 ^{3}})

= ln (\frac{2 ^{6}}{3 ^{3}})

\frac{2 ^{6}}{3 ^{3}} = \frac{64}{27}

= ln (\frac{64}{27})

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Frequently Asked Questions (FAQ)

What is simplify-3ln(3)+6ln(2) ?
The solution to simplify-3ln(3)+6ln(2) is ln(64/27)