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Popular >

simplify ln(729/4)-6ln(2)

Solution

simplify

ln (\frac{729}{4}) - 6 ln (2)

Solution

ln (\frac{729}{256})

+1

Decimal Notation

1.04649 \dots

Solution steps

ln (\frac{729}{4}) - 6 ln (2)

Apply log rule:

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

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

= ln (\frac{729}{4}) - ln (2^{6})

Apply log rule:

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

ln (\frac{729}{4}) - ln (2^{6}) = ln (\frac{\frac{729}{4}}{2 ^{6}})

= ln (\frac{\frac{729}{4}}{2 ^{6}})

\frac{\frac{729}{4}}{2 ^{6}} = \frac{729}{256}

= ln (\frac{729}{256})

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Frequently Asked Questions (FAQ)

What is ln(729/4)-6ln(2) ?
The solution to ln(729/4)-6ln(2) is ln(729/256)