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Popular >

simplify ln(1/27)

Solution

simplify

ln (\frac{1}{27})

Solution

- 3 ln (3)

+1

Decimal Notation

- 3.29583 \dots

Solution steps

ln (\frac{1}{27})

Apply log rule:

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

ln (\frac{1}{27}) = ln (1) - ln (27)

= ln (1) - ln (27)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (27)

0 - ln (27) = - ln (27)

= - ln (27)

Simplify

ln (27) : 3 ln (3)

= - 3 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(1/27) ?
The solution to ln(1/27) is -3ln(3)