What is 3/2 ln((x-1)/(x+2))-5 ?

The solution to 3/2 ln((x-1)/(x+2))-5 is 3/2 (ln(x-1)-ln(x+2))-5

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simplify 3/2 ln((x-1)/(x+2))-5

simplify

\frac{3}{2} ln (\frac{x - 1}{x + 2}) - 5

\frac{3}{2} (ln (x - 1) - ln (x + 2)) - 5

Solution steps

\frac{3}{2} ln (\frac{x - 1}{x + 2}) - 5

Apply log rule:

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

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

= \frac{3}{2} (ln (x - 1) - ln (x + 2)) - 5

lo g_{10} (\frac{11 r ^{3}}{w})

2 lo g_{e} (9) + 2 lo g_{e} (π) - lo g_{e} (8)

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

ln (\frac{47}{50}) + (0.085) \cdot 0.054

\frac{2 ln ( 5 )}{ln ( 2 )} - 3

What is 3/2 ln((x-1)/(x+2))-5 ?
The solution to 3/2 ln((x-1)/(x+2))-5 is 3/2 (ln(x-1)-ln(x+2))-5