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Popular >

simplify ln(16/81)

Solution

simplify

ln (\frac{16}{81})

Solution

4 ln (2) - 4 ln (3)

+1

Decimal Notation

- 1.62186 \dots

Solution steps

ln (\frac{16}{81})

Apply log rule:

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

ln (\frac{16}{81}) = ln (16) - ln (81)

= ln (16) - ln (81)

ln (16) = 4 ln (2)

ln (81) = 4 ln (3)

= 4 ln (2) - 4 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(16/81) ?
The solution to ln(16/81) is 4ln(2)-4ln(3)