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simplify ln(-2sqrt(3))	simplify\:\ln(-2\sqrt{3})
simplify ln(((30))/((21.001)))	simplify\:\ln(\frac{(30)}{(21.001)})
simplify-1/((\frac{ln(2)){5730})}ln(81/100)	simplify\:-\frac{1}{(\frac{\ln(2)}{5730})}\ln(\frac{81}{100})
simplify ln(1/28)	simplify\:\ln(\frac{1}{28})
simplify ln(V*e^{(β-n)t})	simplify\:\ln(V\cdot\:e^{(β-n)t})
simplify ln(\|2+2\|^{1.75}\|2-3\|^{0.25}\|2\|^2)	simplify\:\ln(\left\|2+2\right\|^{1.75}\left\|2-3\right\|^{0.25}\left\|2\right\|^{2})
simplify log_{1/2}(2e^3)	simplify\:\log_{\frac{1}{2}}(2e^{3})
simplify ln((sqrt(3))/(2e))	simplify\:\ln(\frac{\sqrt{3}}{2e})
simplify log_{1/3}(1/6)	simplify\:\log_{\frac{1}{3}}(\frac{1}{6})
simplify 3ln(4)-ln(4/3)	simplify\:3\ln(4)-\ln(\frac{4}{3})
simplify 1/(-0.06437)ln(1/20)	simplify\:\frac{1}{-0.06437}\ln(\frac{1}{20})
simplify ln((100)/(0.2))	simplify\:\ln(\frac{100}{0.2})
simplify ln((n+1)^2)-ln(n^2)	simplify\:\ln((n+1)^{2})-\ln(n^{2})
simplify 2ln((1/2-1)/(1/2+1))	simplify\:2\ln(\frac{\frac{1}{2}-1}{\frac{1}{2}+1})
simplify ln(-9e)	simplify\:\ln(-9e)
simplify ln(1.999-2)-ln(1.999+1)	simplify\:\ln(1.999-2)-\ln(1.999+1)
simplify 2194.075ln(-300)-2194.075ln(-1000)	simplify\:2194.075\ln(-300)-2194.075\ln(-1000)
simplify ln(((x^5sqrt(x^2+1)))/((x+1)^6))	simplify\:\ln(\frac{(x^{5}\sqrt{x^{2}+1})}{(x+1)^{6}})
simplify ln((x^3)/(2-x))	simplify\:\ln(\frac{x^{3}}{2-x})
simplify ln((e^{-x/2})/(2sqrt(2pi)))	simplify\:\ln(\frac{e^{-\frac{x}{2}}}{2\sqrt{2π}})
simplify ln((s+a)/(s-b))	simplify\:\ln(\frac{s+a}{s-b})
simplify-log_{10}(3.3(10)^{-4})	simplify\:-\log_{10}(3.3(10)^{-4})
simplify 2ln(2)-ln(5/3)	simplify\:2\ln(2)-\ln(\frac{5}{3})
simplify ln(2)+ln(35)	simplify\:\ln(2)+\ln(35)
simplify ln\|x\|-ln\|x^2+1\|+C	simplify\:\ln\left\|x\right\|-\ln\left\|x^{2}+1\right\|+C
simplify ln(1/(x^6))	simplify\:\ln(\frac{1}{x^{6}})
simplify log_{4}(3.188-1)+log_{4}(2(3.188)-5)	simplify\:\log_{4}(3.188-1)+\log_{4}(2(3.188)-5)
simplify-log_{10}(5.65*10^{-6})	simplify\:-\log_{10}(5.65\cdot\:10^{-6})
expand log_{10}((z^2)/4)	expand\:\log_{10}(\frac{z^{2}}{4})
simplify 38+4ln(86)-ln(9)	simplify\:38+4\ln(86)-\ln(9)
simplify ln((2+1)/2)	simplify\:\ln(\frac{2+1}{2})
simplify (-ln\|1-3\|+2ln\|1-2\|)+(-ln\|0-3\|+2ln\|0-2\|)	simplify\:(-\ln\left\|1-3\right\|+2\ln\left\|1-2\right\|)+(-\ln\left\|0-3\right\|+2\ln\left\|0-2\right\|)
simplify log_{2}(76.8)-log_{2}(1.2)	simplify\:\log_{2}(76.8)-\log_{2}(1.2)
simplify 4log_{6}(x)-5log_{6}(y)	simplify\:4\log_{6}(x)-5\log_{6}(y)
expand ln(((10x)/(3y))^2)	expand\:\ln((\frac{10x}{3y})^{2})
expand log_{4}(x/5)	expand\:\log_{4}(\frac{x}{5})
simplify-log_{10}(6.31*10^{-6})	simplify\:-\log_{10}(6.31\cdot\:10^{-6})
simplify 3ln(x)+ln(x^{(4)})-ln((x^3)(e^x))	simplify\:3\ln(x)+\ln(x^{(4)})-\ln((x^{3})(e^{x}))
simplify ln((sqrt(xy^4))/(z^3))	simplify\:\ln(\frac{\sqrt{xy^{4}}}{z^{3}})
simplify ln((((x+a)^2+y^2))/(((x-a)^2+y^2)))	simplify\:\ln(\frac{((x+a)^{2}+y^{2})}{((x-a)^{2}+y^{2})})
simplify log_{e}(3/4 ln\|x^2+2\|+1/2 ln\|x\|)	simplify\:\log_{e}(\frac{3}{4}\ln\left\|x^{2}+2\right\|+\frac{1}{2}\ln\left\|x\right\|)
simplify ln(6/5)-ln(4/6)	simplify\:\ln(\frac{6}{5})-\ln(\frac{4}{6})
simplify-1/5 ln(x)-5[ln(y)-3ln(z)]	simplify\:-\frac{1}{5}\ln(x)-5[\ln(y)-3\ln(z)]
join (30ln(25/114))/(ln(79/114))	join\:\frac{30\ln(\frac{25}{114})}{\ln(\frac{79}{114})}
simplify log_{2}(1/1000)	simplify\:\log_{2}(\frac{1}{1000})
simplify ln(5/2)-117/250	simplify\:\ln(\frac{5}{2})-\frac{117}{250}
simplify 1/5 ln(y/x+4)+ln(x)	simplify\:\frac{1}{5}\ln(\frac{y}{x}+4)+\ln(x)
simplify ln(e^{-x}(x+0.8))	simplify\:\ln(e^{-x}(x+0.8))
expand ln((4a)^3)	expand\:\ln((4a)^{3})
expand log_{5}((x^5)/(y^4))	expand\:\log_{5}(\frac{x^{5}}{y^{4}})
simplify 2ln(2)+9/5 ln(4)+1/5 ln(-1)	simplify\:2\ln(2)+\frac{9}{5}\ln(4)+\frac{1}{5}\ln(-1)
simplify log_{10}(x)+4log_{10}(y)-4log_{10}(z)	simplify\:\log_{10}(x)+4\log_{10}(y)-4\log_{10}(z)
expand log_{5}(xy^2)	expand\:\log_{5}(xy^{2})
simplify ln(2/(1+y))	simplify\:\ln(\frac{2}{1+y})
simplify ln(1200-y)+ln(y-100)	simplify\:\ln(1200-y)+\ln(y-100)
simplify (2ln(3))/(ln(2)-ln(3))	simplify\:\frac{2\ln(3)}{\ln(2)-\ln(3)}
simplify log_{e}(4xy)	simplify\:\log_{e}(4xy)
simplify ln((u^2+sqrt(u^2-a^2))/a)	simplify\:\ln(\frac{u^{2}+\sqrt{u^{2}-a^{2}}}{a})
simplify-1/5 log_{10}(y+3)+1/5 log_{10}(y-2)	simplify\:-\frac{1}{5}\log_{10}(y+3)+\frac{1}{5}\log_{10}(y-2)
simplify log_{e}(9)+log_{e}(2)	simplify\:\log_{e}(9)+\log_{e}(2)
simplify 3log_{9}(a)-12log_{9}(b)	simplify\:3\log_{9}(a)-12\log_{9}(b)
simplify 3ln\|x\|-2ln\|x+11\|	simplify\:3\ln\left\|x\right\|-2\ln\left\|x+11\right\|
simplify ln(800e^{0.05t})-ln(220e^{-0.05t})	simplify\:\ln(800e^{0.05t})-\ln(220e^{-0.05t})
expand ln((3-2x)^{tan((3pix)/2)})	expand\:\ln((3-2x)^{\tan(\frac{3πx}{2})})
simplify ln((63)/(\frac{38){-0.08}})	simplify\:\ln(\frac{63}{\frac{38}{-0.08}})
simplify ln(q/t)	simplify\:\ln(\frac{q}{t})
simplify ln(1100000/900000)	simplify\:\ln(\frac{1100000}{900000})
simplify ln(1/4 e^{-x})	simplify\:\ln(\frac{1}{4}e^{-x})
simplify ln((12!)/(7!*5!))-ln(11)	simplify\:\ln(\frac{12!}{7!\cdot\:5!})-\ln(11)
simplify log_{10}((136.93)/(10))-110	simplify\:\log_{10}(\frac{136.93}{10})-110
simplify 2log_{3}(z)+3(log_{3}(w)-2log_{3}(y))	simplify\:2\log_{3}(z)+3(\log_{3}(w)-2\log_{3}(y))
simplify-ln(cos(x))-ln(x)	simplify\:-\ln(\cos(x))-\ln(x)
simplify-log_{10}(1.43*10^{-3})	simplify\:-\log_{10}(1.43\cdot\:10^{-3})
join (15ln(6))/(ln(7))+1	join\:\frac{15\ln(6)}{\ln(7)}+1
simplify 0.026ln((10^{17})/(1.410^{10)})	simplify\:0.026\cdot\:\ln(\frac{10^{17}}{1.4\cdot\:10^{10}})
simplify 2.99^2ln(1.04)-9ln(1.02)	simplify\:2.99^{2}\ln(1.04)-9\ln(1.02)
join (7cos(7ln(x)))/x-sin(7ln(x))	join\:\frac{7\cos(7\ln(x))}{x}-\sin(7\ln(x))
simplify-ln\|x-3\|+2ln\|x-2\|+c	simplify\:-\ln\left\|x-3\right\|+2\ln\left\|x-2\right\|+c
simplify 1/3 ln(11/5)	simplify\:\frac{1}{3}\ln(\frac{11}{5})
simplify ln((\sqrt[5]{x})/6)	simplify\:\ln(\frac{\sqrt[5]{x}}{6})
join 20000-1/(4ln(2))	join\:20000-\frac{1}{4\ln(2)}
simplify 0.9log_{2}(0.9)+0.1log_{2}(0.1)	simplify\:0.9\cdot\:\log_{2}(0.9)+0.1\cdot\:\log_{2}(0.1)
simplify ln(sqrt(2))-1/2-ln(sqrt(1/6))-1/24	simplify\:\ln(\sqrt{2})-\frac{1}{2}-\ln(\sqrt{\frac{1}{6}})-\frac{1}{24}
simplify ln((e^{-x^3})(3x^3))	simplify\:\ln((e^{-x^{3}})(3x^{3}))
simplify ln((x^2+1)^2)+ln(((x+1)/(x-1))^2)	simplify\:\ln((x^{2}+1)^{2})+\ln((\frac{x+1}{x-1})^{2})
expand log_{5}(7*3)	expand\:\log_{5}(7\cdot\:3)
simplify 7log_{3}(y)-1/4 log_{3}(z)+2log_{3}(x)	simplify\:7\log_{3}(y)-\frac{1}{4}\log_{3}(z)+2\log_{3}(x)
rationalize ln\|x+2\|-1/2 ln\|y^2-1\|	rationalize\:\ln\left\|x+2\right\|-\frac{1}{2}\ln\left\|y^{2}-1\right\|
expand log_{10}((x^3y)/(sqrt(z)))	expand\:\log_{10}(\frac{x^{3}y}{\sqrt{z}})
simplify 0.0296*46e^{((ln(263)-ln(46))/(30))3}	simplify\:0.0296\cdot\:46e^{(\frac{\ln(263)-\ln(46)}{30})3}
simplify-1/2 ln\|v+2\|+1/2 ln\|v\|	simplify\:-\frac{1}{2}\ln\left\|v+2\right\|+\frac{1}{2}\ln\left\|v\right\|
simplify ln(1/a e^{-y/a})	simplify\:\ln(\frac{1}{a}e^{-\frac{y}{a}})
simplify ln(y)-ln(11-y)	simplify\:\ln(y)-\ln(11-y)
simplify 0.0296*46e^{((ln(263)-ln(46))/(30))2}	simplify\:0.0296\cdot\:46e^{(\frac{\ln(263)-\ln(46)}{30})2}
join 5/3 ln(2)	join\:\frac{5}{3}\ln(2)
simplify 2.4ln(3)+2.4ln(2)	simplify\:2.4\ln(3)+2.4\ln(2)
simplify ln(78925/70000)	simplify\:\ln(\frac{78925}{70000})
simplify ln(x-3)+ln(x+4)	simplify\:\ln(x-3)+\ln(x+4)
simplify-log_{10}(6.06*10^{-12})	simplify\:-\log_{10}(6.06\cdot\:10^{-12})
simplify 8(ln(z)+ln(z+9))-4ln(z-9)	simplify\:8(\ln(z)+\ln(z+9))-4\ln(z-9)

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