What is 6(ln(3)-ln(2))(-3)/2+4 ?

The solution to 6(ln(3)-ln(2))(-3)/2+4 is -9ln(3/2)+4

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simplify 6(ln(3)-ln(2))(-3)/2+4

simplify

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

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

Decimal Notation

0.35081 \dots

Solution steps

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

Apply log rule:

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

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

= 6 ln (\frac{3}{2}) \frac{- 3}{2} + 4

6 ln (\frac{3}{2}) \frac{- 3}{2} = - 9 ln (\frac{3}{2})

= - 9 ln (\frac{3}{2}) + 4

2 lo g_{10} (9 x) - lo g_{8} (2 x - 5)

ln (\frac{0.05}{0.1})

\frac{3 ln ( 2 )}{ln ( \frac{27}{4} )}

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

ln (\frac{2}{3})

What is 6(ln(3)-ln(2))(-3)/2+4 ?
The solution to 6(ln(3)-ln(2))(-3)/2+4 is -9ln(3/2)+4