What is ln(3)+ln(3/(-2)+1)+2/(\frac{3){-2}+1} ?

The solution to ln(3)+ln(3/(-2)+1)+2/(\frac{3){-2}+1} is ln(-3/2)-4

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

simplify

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

ln (- \frac{3}{2}) - 4

Solution steps

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

Apply log rule:

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

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

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

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

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

\frac{2}{\frac{3}{- 2} + 1} = - 4

= ln (- \frac{3}{2}) - 4

- lo g_{10} (7.5 \cdot 1 0^{- 11})

ln (\frac{3}{6})

ln (x - 5) - ln (x)

5 ln (2) - 2 ln (\frac{7}{2}) + \frac{9}{2} - 25 ln (\frac{10}{7})

ln^{2} (\frac{1}{3})

What is ln(3)+ln(3/(-2)+1)+2/(\frac{3){-2}+1} ?
The solution to ln(3)+ln(3/(-2)+1)+2/(\frac{3){-2}+1} is ln(-3/2)-4