What is simplify-ln(3)+ln(2)+ln(2)-ln(1) ?

The solution to simplify-ln(3)+ln(2)+ln(2)-ln(1) is ln(4/3)

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simplify-ln(3)+ln(2)+ln(2)-ln(1)

simplify

- ln (3) + ln (2) + ln (2) - ln (1)

ln (\frac{4}{3})

Decimal Notation

0.28768 \dots

Solution steps

- ln (3) + ln (2) + ln (2) - ln (1)

Apply log rule:

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

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

= ln (\frac{2}{3}) + ln (2) - ln (1)

Apply log rule:

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

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

= ln (2 \cdot \frac{2}{3}) - ln (1)

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

= ln (\frac{4}{3}) - ln (1)

Apply log rule:

lo g_{a} (1) = 0

= ln (\frac{4}{3}) - 0

ln (\frac{4}{3}) - 0 = ln (\frac{4}{3})

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

ln (p) + ln (1 - p)

- lo g_{10} (7.8 \cdot 1 0^{- 3})

4 + 2 ln (\frac{2 + 1}{2 - 1})

lo g_{8} (\frac{x ^{3} cos ( x )}{3 x + 1})

ln (\frac{e ^{8}}{5})

What is simplify-ln(3)+ln(2)+ln(2)-ln(1) ?
The solution to simplify-ln(3)+ln(2)+ln(2)-ln(1) is ln(4/3)