What is 2(ln(sqrt(e^3))-ln(xy)) ?

The solution to 2(ln(sqrt(e^3))-ln(xy)) is 2ln((esqrt(e))/(xy))

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simplify 2(ln(sqrt(e^3))-ln(xy))

simplify

2 (ln (e^{3}) - ln (x y))

2 ln (\frac{e e}{x y})

Solution steps

2 (ln (e^{3}) - ln (x y))

Apply log rule:

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

ln (e^{3}) - ln (x y) = ln (\frac{e ^{3}}{x y})

= 2 ln (\frac{e ^{3}}{x y})

e^{3} = e e

= 2 ln (\frac{e e}{x y})

\frac{1}{2} ln (\frac{7}{3})

ln (6 e^{6 x})

ln (15) + ln (2) - ln (5)

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

(0.9) ln (5500) + (0.1) ln (4500)

What is 2(ln(sqrt(e^3))-ln(xy)) ?
The solution to 2(ln(sqrt(e^3))-ln(xy)) is 2ln((esqrt(e))/(xy))