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Popular >

simplify ln(27/64)

Solution

simplify

ln (\frac{27}{64})

Solution

3 ln (3) - 6 ln (2)

+1

Decimal Notation

- 0.86304 \dots

Solution steps

ln (\frac{27}{64})

Apply log rule:

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

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

= ln (27) - ln (64)

ln (27) = 3 ln (3)

ln (64) = 6 ln (2)

= 3 ln (3) - 6 ln (2)

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Frequently Asked Questions (FAQ)

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