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Popular >

simplify 6ln(6)-4ln(4)

Solution

simplify

6 ln (6) - 4 ln (4)

Solution

ln (\frac{729}{4})

+1

Decimal Notation

5.20537 \dots

Solution steps

6 ln (6) - 4 ln (4)

Apply log rule:

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

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

= ln (6^{6}) - 4 ln (4)

Apply log rule:

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

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

= ln (6^{6}) - ln (4^{4})

Apply log rule:

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

ln (6^{6}) - ln (4^{4}) = ln (\frac{6 ^{6}}{4 ^{4}})

= ln (\frac{6 ^{6}}{4 ^{4}})

\frac{6 ^{6}}{4 ^{4}} = \frac{729}{4}

= ln (\frac{729}{4})

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Frequently Asked Questions (FAQ)

What is 6ln(6)-4ln(4) ?
The solution to 6ln(6)-4ln(4) is ln(729/4)