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Popular >

simplify-ln(2)-ln(2/3)

Solution

simplify

- ln (2) - ln (\frac{2}{3})

Solution

- ln (\frac{4}{3})

+1

Decimal Notation

- 0.28768 \dots

Solution steps

- ln (2) - ln (\frac{2}{3})

Rewrite

- ln (2) - ln (\frac{2}{3})

as

- (ln (2) + ln (\frac{2}{3}))

= - (ln (2) + ln (\frac{2}{3}))

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (2) + ln (\frac{2}{3}) = ln (2 \cdot \frac{2}{3})

= - ln (2 \cdot \frac{2}{3})

2 \cdot \frac{2}{3} = \frac{4}{3}

= - ln (\frac{4}{3})

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Frequently Asked Questions (FAQ)

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