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Popular >

simplify ln(2)-ln(6)

Solution

simplify

ln (2) - ln (6)

Solution

- ln (3)

+1

Decimal Notation

- 1.09861 \dots

Solution steps

ln (2) - ln (6)

Apply log rule:

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

ln (2) - ln (6) = ln (\frac{2}{6})

= ln (\frac{2}{6})

Cancel the common factor:

2

= ln (\frac{1}{3})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (3)

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Frequently Asked Questions (FAQ)

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