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simplify ln((3x)/(2y))	simplify\:\ln(\frac{3x}{2y})
simplify (450)ln(((24))/(20))	simplify\:(4\cdot\:50)\ln(\frac{(2\cdot\:4)}{20})
simplify 2ln(x+1)-ln(x-2)-2ln(x-2)	simplify\:2\ln(x+1)-\ln(x-2)-2\ln(x-2)
simplify ln((15)/(627.68^2))	simplify\:\ln(\frac{15}{627.68^{2}})
simplify ln(x)-(ln(ln(y/x))-ln(y/x))	simplify\:\ln(x)-(\ln(\ln(\frac{y}{x}))-\ln(\frac{y}{x}))
simplify 2ln(1/(0.96))	simplify\:2\ln(\frac{1}{0.96})
simplify 20e^{3(3)}-ln(3+9)-20e^{3(0)}-ln(0+9)	simplify\:20e^{3(3)}-\ln(3+9)-20e^{3(0)}-\ln(0+9)
simplify ln(66/58)	simplify\:\ln(\frac{66}{58})
simplify-log_{10}(5.159*10^{13})	simplify\:-\log_{10}(5.159\cdot\:10^{13})
simplify ln(1/(b^{2n)}e^{-x/(nb)}x)	simplify\:\ln(\frac{1}{b^{2n}}\cdot\:e^{-\frac{x}{nb}}\cdot\:x)
simplify ln(1+1/x)-ln(1+1/(x-1))	simplify\:\ln(1+\frac{1}{x})-\ln(1+\frac{1}{x-1})
simplify-(24ln(2)-3ln(15))/(2(ln(15)-9ln(2)))	simplify\:-\frac{24\ln(2)-3\ln(15)}{2(\ln(15)-9\ln(2))}
simplify log_{e}(100000/1200)	simplify\:\log_{e}(\frac{100000}{1200})
rationalize 2ln(7)+ln((pi^6)/3)	rationalize\:2\ln(7)+\ln(\frac{π^{6}}{3})
simplify ln(x/(x+y))	simplify\:\ln(\frac{x}{x+y})
simplify 5log_{b}(x)+9log_{b}(y)-3log_{b}(z)	simplify\:5\log_{b}(x)+9\log_{b}(y)-3\log_{b}(z)
simplify ln(x^2-1)-ln(x-1)	simplify\:\ln(x^{2}-1)-\ln(x-1)
simplify 5ln(u)-2ln(6)	simplify\:5\ln(u)-2\ln(6)
simplify log_{4}(5)+log_{4}(16)+log_{4}(1.25)	simplify\:\log_{4}(5)+\log_{4}(16)+\log_{4}(1.25)
simplify log_{5}(3x^2)+ln(4x^3)	simplify\:\log_{5}(3x^{2})+\ln(4x^{3})
simplify 3*ln(x)+ln(x^4)-ln(x^3e^x)	simplify\:3\cdot\:\ln(x)+\ln(x^{4})-\ln(x^{3}e^{x})
simplify 5ln((1-(sqrt(2))/2)/(1+(sqrt(2))/2))	simplify\:5\ln(\frac{1-\frac{\sqrt{2}}{2}}{1+\frac{\sqrt{2}}{2}})
join 1/4 ln(15)	join\:\frac{1}{4}\ln(15)
simplify ln((1-e^x)/(1+e^2))	simplify\:\ln(\frac{1-e^{x}}{1+e^{2}})
expand log_{3}((x^4)/(y^2))	expand\:\log_{3}(\frac{x^{4}}{y^{2}})
simplify ln(2n^2+4n-3)-ln(n^2+4n+5)	simplify\:\ln(2n^{2}+4n-3)-\ln(n^{2}+4n+5)
simplify-ln(2/3)+2	simplify\:-\ln(\frac{2}{3})+2
simplify log_{2}(1/(2*0.001))	simplify\:\log_{2}(\frac{1}{2\cdot\:0.001})
simplify ln(Ax^by^c)	simplify\:\ln(Ax^{b}y^{c})
simplify 97/100 ln(3*10^6)+3/100 ln(3000)	simplify\:\frac{97}{100}\ln(3\cdot\:10^{6})+\frac{3}{100}\ln(3000)
join (sqrt(2)ln((3e^2)/2))/(e)	join\:\frac{\sqrt{2}\ln(\frac{3e^{2}}{2})}{e}
simplify 4log_{b}(X)-log_{b}(y)	simplify\:4\log_{b}(X)-\log_{b}(y)
simplify log_{a}((x+sqrt(y))/((x-y)^3))	simplify\:\log_{a}(\frac{x+\sqrt{y}}{(x-y)^{3}})
FUNCTION_MANY#domain of f(x)= 1/2 ln(5x^2)-1/2 ln(2x^2)	FUNCTION_MANY#domain\:f(x)=\frac{1}{2}\ln(5x^{2})-\frac{1}{2}\ln(2x^{2})
simplify-log_{10}(2.635*10^{-6})	simplify\:-\log_{10}(2.635\cdot\:10^{-6})
simplify-log_{10}(2.1*10^{-5})	simplify\:-\log_{10}(2.1\cdot\:10^{-5})
join-(ln(48))/(3*ln(60))	join\:-\frac{\ln(48)}{3\cdot\:\ln(60)}
simplify log_{e}((a^xe^{-a})/(x!))	simplify\:\log_{e}(\frac{a^{x}e^{-a}}{x!})
simplify ln((-e^{-x})/(1-e^{-x)})	simplify\:\ln(\frac{-e^{-x}}{1-e^{-x}})
simplify 1/(-0.2)ln((1001/76)/(90))-9	simplify\:\frac{1}{-0.2}\ln(\frac{\frac{1001}{76}}{90})-9
simplify 5log_{2}(c)+1/3 log_{2}(d)	simplify\:5\log_{2}(c)+\frac{1}{3}\log_{2}(d)
factor ln((r^2s^{11})/(t^{14)})	factor\:\ln(\frac{r^{2}s^{11}}{t^{14}})
simplify ln(ah^m)	simplify\:\ln(ah^{m})
simplify-1/10 log_{2}(1/10)-9/10 log_{2}(9/10)	simplify\:-\frac{1}{10}\log_{2}(\frac{1}{10})-\frac{9}{10}\log_{2}(\frac{9}{10})
simplify 3log_{b}(y)-19/4 log_{b}(x)	simplify\:3\log_{b}(y)-\frac{19}{4}\log_{b}(x)
simplify 15ln((3ln(11))/2)-4	simplify\:15\ln(\frac{3\ln(11)}{2})-4
simplify ln(2120)-ln(2120-10000)	simplify\:\ln(2120)-\ln(2120-10000)
simplify 1/3 (ln\|5\|-ln\|5+1\|)	simplify\:\frac{1}{3}(\ln\left\|5\right\|-\ln\left\|5+1\right\|)
simplify ln((4x^4)/(x^3+3))	simplify\:\ln(\frac{4x^{4}}{x^{3}+3})
simplify-ln(x/3)	simplify\:-\ln(\frac{x}{3})
simplify 15log_{5}(a)+3log_{5}(b)	simplify\:15\log_{5}(a)+3\log_{5}(b)
simplify 9ln(x+9)-8ln(x)	simplify\:9\ln(x+9)-8\ln(x)
expand ln((sin(x))^3)	expand\:\ln((\sin(x))^{3})
simplify 20log_{10}((x2pi628.32)/((100.02)))	simplify\:20\cdot\:\log_{10}(\frac{x\cdot\:2π\cdot\:628.32}{(10\cdot\:0.02)})
simplify ln(x/(x-8))+ln((x+8)/x)	simplify\:\ln(\frac{x}{x-8})+\ln(\frac{x+8}{x})
simplify 1/6*ln(1/(9^3))	simplify\:\frac{1}{6}\cdot\:\ln(\frac{1}{9^{3}})
expand log_{10}(zy^3)	expand\:\log_{10}(zy^{3})
simplify 1/2 [ln(3)+4ln(x)-2ln(x-1)]	simplify\:\frac{1}{2}[\ln(3)+4\ln(x)-2\ln(x-1)]
simplify ((0.5ln(28)-ln(2)))/(0.5)	simplify\:\frac{(0.5\ln(28)-\ln(2))}{0.5}
simplify 1/2 ln(11/3)	simplify\:\frac{1}{2}\ln(\frac{11}{3})
simplify ln(1/2)-2	simplify\:\ln(\frac{1}{2})-2
simplify ln(1/2)-1	simplify\:\ln(\frac{1}{2})-1
simplify 1/2 ln(17.6+1)+2ln(8.8-1)+C	simplify\:\frac{1}{2}\ln(17.6+1)+2\ln(8.8-1)+C
simplify log_{10}(-1-i)-log_{10}(i)	simplify\:\log_{10}(-1-i)-\log_{10}(i)
simplify 2ln(7)-3ln(2)+2ln(5)	simplify\:2\ln(7)-3\ln(2)+2\ln(5)
simplify ln^2(x)+2ln(x)+1	simplify\:\ln^{2}(x)+2\ln(x)+1
simplify ln(5e^{-10k})	simplify\:\ln(5e^{-10k})
simplify 3ln(x)-(ln(4x)+2ln(v))	simplify\:3\ln(x)-(\ln(4x)+2\ln(v))
simplify ln(x/(3x+1))	simplify\:\ln(\frac{x}{3x+1})
simplify-log_{10}(1.9*10^{-8})	simplify\:-\log_{10}(1.9\cdot\:10^{-8})
simplify ln(6)+ln(sqrt((e^{(2.47519)))/3})	simplify\:\ln(6)+\ln(\sqrt{\frac{e^{(2.47519)}}{3}})
simplify 9ln(sqrt(x))-ln(sqrt((y/x)^2+1)+y/x)	simplify\:9\ln(\sqrt{x})-\ln(\sqrt{(\frac{y}{x})^{2}+1}+\frac{y}{x})
simplify 2log_{a}(x)-3log_{a}(y)	simplify\:2\log_{a}(x)-3\log_{a}(y)
simplify 3log_{c}(y)-15/4 log_{c}(x)	simplify\:3\log_{c}(y)-\frac{15}{4}\log_{c}(x)
simplify 1/3 (6ln(x+5)+ln(x)-ln(x^2-6))	simplify\:\frac{1}{3}(6\ln(x+5)+\ln(x)-\ln(x^{2}-6))
simplify 1.464-log_{10}(1/(10^{0.3)})	simplify\:1.464-\log_{10}(\frac{1}{10^{0.3}})
simplify ((ln(2)*45))/(ln(10)-ln(2))	simplify\:\frac{(\ln(2)\cdot\:45)}{\ln(10)-\ln(2)}
simplify-20log_{10}(0.2sqrt(1-0.01))	simplify\:-20\log_{10}(0.2\sqrt{1-0.01})
expand log_{10}((4p^3)/(5q^4))	expand\:\log_{10}(\frac{4p^{3}}{5q^{4}})
simplify ln\| 7/5+3/4 x\|-ln\|-3/5+3/5 x\|	simplify\:\ln\left\|\frac{7}{5}+\frac{3}{4}x\right\|-\ln\left\|-\frac{3}{5}+\frac{3}{5}x\right\|
simplify ln(36/11)t+ln(1/24)	simplify\:\ln(\frac{36}{11})t+\ln(\frac{1}{24})
simplify ln(24e^{-x-y})+ln(15e^{3x-y})	simplify\:\ln(24e^{-x-y})+\ln(15e^{3x-y})
simplify-ln((3.8)/(16))-ln(5/16)	simplify\:-\ln(\frac{3.8}{16})-\ln(\frac{5}{16})
simplify-log_{10}(4.51*10^{-6})	simplify\:-\log_{10}(4.51\cdot\:10^{-6})
simplify-log_{10}(2.3*10^{-4})	simplify\:-\log_{10}(2.3\cdot\:10^{-4})
simplify ln((75.5)/(49.2))	simplify\:\ln(\frac{75.5}{49.2})
simplify ln(1/2 e^{-kt})	simplify\:\ln(\frac{1}{2}e^{-kt})
simplify 5ln(3/4)+5/2+(3(-ln(3)-3ln(3/4)))/2	simplify\:5\ln(\frac{3}{4})+\frac{5}{2}+\frac{3(-\ln(3)-3\ln(\frac{3}{4}))}{2}
simplify 5000-500000ln(104/103)	simplify\:5000-500000\ln(\frac{104}{103})
simplify 2ln(5)+3ln(2y)-ln(x)d	simplify\:2\ln(5)+3\ln(2y)-\ln(x)d
simplify 13ln(20x^2)	simplify\:13\ln(20x^{2})
simplify ln(x+7)+ln(x+1)	simplify\:\ln(x+7)+\ln(x+1)
simplify 15*(ln(3)-ln(2))	simplify\:15\cdot\:(\ln(3)-\ln(2))
simplify 1/20 ln(2/(1.5(20)))	simplify\:\frac{1}{20}\ln(\frac{2}{1.5(20)})
simplify 2*log_{10}(2)+log_{10}(0.12)	simplify\:2\cdot\:\log_{10}(2)+\log_{10}(0.12)
simplify ln(x)+ln(e^{-x})	simplify\:\ln(x)+\ln(e^{-x})
simplify ln((d^2+3h^2)/(6h))	simplify\:\ln(\frac{d^{2}+3h^{2}}{6h})
simplify 2/5 ln(3/7)	simplify\:\frac{2}{5}\ln(\frac{3}{7})
simplify-ln(x)+ln((2y+x)/x)	simplify\:-\ln(x)+\ln(\frac{2y+x}{x})
simplify-5ln(a/c)-8ln(c/a)	simplify\:-5\ln(\frac{a}{c})-8\ln(\frac{c}{a})

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