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Popular >

simplify ln(3)-ln(1/3)

Solution

simplify

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

Solution

2 ln (3)

+1

Decimal Notation

2.19722 \dots

Solution steps

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

Apply log rule:

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

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

= ln (3) - (ln (1) - ln (3))

- (ln (1) - ln (3)) = ln (3)

= ln (3) + ln (3)

Add similar elements:

ln (3) + ln (3) = 2 ln (3)

= 2 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(3)-ln(1/3) ?
The solution to ln(3)-ln(1/3) is 2ln(3)