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simplify 1/3 log_{e}(27)+1/3 log_{e}(125)	simplify\:\frac{1}{3}\log_{e}(27)+\frac{1}{3}\log_{e}(125)
simplify ln(y)-ln(y-2)	simplify\:\ln(y)-\ln(y-2)
join 1/2 ln(50)	join\:\frac{1}{2}\ln(50)
join (11500)/(13ln(45/13))	join\:\frac{11500}{13\ln(\frac{45}{13})}
simplify-log_{10}(7.11*10^{-3})	simplify\:-\log_{10}(7.11\cdot\:10^{-3})
simplify 5log_{4}(x)-1/2 log_{4}(y)	simplify\:5\log_{4}(x)-\frac{1}{2}\log_{4}(y)
simplify ln(Ae^{x+y})	simplify\:\ln(Ae^{x+y})
simplify ln((x^7sqrt(x^2+4))/((x+4)^9))	simplify\:\ln(\frac{x^{7}\sqrt{x^{2}+4}}{(x+4)^{9}})
simplify 3log_{2}(a)+2log_{2}(b)	simplify\:3\log_{2}(a)+2\log_{2}(b)
simplify ln(y)-ln(y-3)	simplify\:\ln(y)-\ln(y-3)
simplify 10log_{10}(i/(10^{12)i_{0}})	simplify\:10\log_{10}(\frac{i}{10^{12}i_{0}})
simplify ln(2/80)	simplify\:\ln(\frac{2}{80})
simplify 600ln(600)+400ln(400)	simplify\:600\ln(600)+400\ln(400)
simplify ln((sin(y))/(cos(x)))	simplify\:\ln(\frac{\sin(y)}{\cos(x)})
simplify ln(x*e^r)	simplify\:\ln(x\cdot\:e^{r})
simplify 2-4*(log_{e}(25)-log_{e}(13))	simplify\:2-4\cdot\:(\log_{e}(25)-\log_{e}(13))
simplify ln(x)-ln(v)+ln(v^2+12)	simplify\:\ln(x)-\ln(v)+\ln(v^{2}+12)
simplify (43pi)/(10)+ln(7)-1/2*ln(26)-169760	simplify\:\frac{43π}{10}+\ln(7)-\frac{1}{2}\cdot\:\ln(26)-169760
simplify ln((2x)/(e^{2x)})	simplify\:\ln(\frac{2x}{e^{2x}})
simplify 1/2 ln(x-3)+1/2 ln(x+3)-ln(x)	simplify\:\frac{1}{2}\ln(x-3)+\frac{1}{2}\ln(x+3)-\ln(x)
simplify 4.74+log_{10}(50/10)	simplify\:4.74+\log_{10}(\frac{50}{10})
expand log_{2}((x^3+2)\sqrt[4]{(x-4)^5})	expand\:\log_{2}((x^{3}+2)\sqrt[4]{(x-4)^{5}})
simplify ((ln\|x+4\|-6ln\|x-1\|))/5	simplify\:\frac{(\ln\left\|x+4\right\|-6\ln\left\|x-1\right\|)}{5}
simplify-ln((x+1)/(e^x))	simplify\:-\ln(\frac{x+1}{e^{x}})
simplify ln(-1e^{-x})	simplify\:\ln(-1e^{-x})
simplify ln(y)-ln(x/y)	simplify\:\ln(y)-\ln(\frac{x}{y})
simplify (ln(0.1)-ln(0.02))/(1-0.5)	simplify\:\frac{\ln(0.1)-\ln(0.02)}{1-0.5}
simplify-2ln(2a)-2ln(a)	simplify\:-2\ln(2a)-2\ln(a)
simplify ln\|7\|-ln\|0.5\|	simplify\:\ln\left\|7\right\|-\ln\left\|0.5\right\|
simplify ln(19/15)	simplify\:\ln(\frac{19}{15})
simplify ln((n!)/(x!(n-x)!)p^x(1-p)^{(n-x)})	simplify\:\ln(\frac{n!}{x!(n-x)!}\cdot\:p^{x}\cdot\:(1-p)^{(n-x)})
simplify-log_{10}(6.9*10^{-9})	simplify\:-\log_{10}(6.9\cdot\:10^{-9})
simplify ln(q)-ln(s)	simplify\:\ln(q)-\ln(s)
simplify ln(1000)-ln(9)	simplify\:\ln(1000)-\ln(9)
simplify 7*ln(-1/2 ln(81))	simplify\:7\cdot\:\ln(-\frac{1}{2}\ln(81))
simplify 2-3ln(-2)-4+3ln(-4)	simplify\:2-3\ln(-2)-4+3\ln(-4)
simplify ln((n^2)/(n+1))	simplify\:\ln(\frac{n^{2}}{n+1})
join-(5ln(2))/(ln(3))	join\:-\frac{5\ln(2)}{\ln(3)}
simplify 7089.884206ln((x^2)/(4.510^8))	simplify\:7089.884206\cdot\:\ln(\frac{x^{2}}{4.5\cdot\:10^{8}})
simplify ln((sqrt(8u+3))/(8u-3))	simplify\:\ln(\frac{\sqrt{8u+3}}{8u-3})
simplify e^{x+ln(x)}+ln(1/(x^3))	simplify\:e^{x+\ln(x)}+\ln(\frac{1}{x^{3}})
expand log_{5}(7*11)	expand\:\log_{5}(7\cdot\:11)
simplify-12(1/2 ln\|8x-8\|-1/2 ln\|8x-10\|)+C	simplify\:-12(\frac{1}{2}\ln\left\|8x-8\right\|-\frac{1}{2}\ln\left\|8x-10\right\|)+C
simplify-1/40 ln(1/10)	simplify\:-\frac{1}{40}\ln(\frac{1}{10})
join 1/2 log_{5}(12)	join\:\frac{1}{2}\log_{5}(12)
simplify-log_{10}(6.66*10^{-5})	simplify\:-\log_{10}(6.66\cdot\:10^{-5})
simplify (-ln\|4x+4\|+ln\|4x+2\|)/2	simplify\:\frac{-\ln\left\|4x+4\right\|+\ln\left\|4x+2\right\|}{2}
simplify 3log_{b}(y)-1/4 log_{b}(w)+2log_{b}(z)	simplify\:3\log_{b}(y)-\frac{1}{4}\log_{b}(w)+2\log_{b}(z)
simplify-ln(1/(1+e^θ))	simplify\:-\ln(\frac{1}{1+e^{θ}})
simplify 3ln(x+1)-3ln(2)-6ln(x)	simplify\:3\ln(x+1)-3\ln(2)-6\ln(x)
simplify ln(0.764705*10^{-11})	simplify\:\ln(0.764705\cdot\:10^{-11})
simplify 1/12 ln((2x-3)/(2x+3))	simplify\:\frac{1}{12}\ln(\frac{2x-3}{2x+3})
simplify 25/8 ln(5/4)	simplify\:\frac{25}{8}\ln(\frac{5}{4})
simplify ((ln\| y/x+4\|-6ln\|(y/x-1)\|))/5	simplify\:\frac{(\ln\left\|\frac{y}{x}+4\right\|-6\ln\left\|(\frac{y}{x}-1)\right\|)}{5}
simplify ln(1/(n-1))	simplify\:\ln(\frac{1}{n-1})
simplify 1/4 x^2(2ln^2(3x)-2ln(3x)+1)	simplify\:\frac{1}{4}x^{2}(2\ln^{2}(3x)-2\ln(3x)+1)
simplify ln(2+x)-ln(2)	simplify\:\ln(2+x)-\ln(2)
simplify ln((6.35*10^{-3})/(0.00555))	simplify\:\ln(\frac{6.35\cdot\:10^{-3}}{0.00555})
simplify ln((e^4)/(19))	simplify\:\ln(\frac{e^{4}}{19})
simplify ln(3xe)	simplify\:\ln(3xe)
simplify-1/2 ln\|(9)+1\|+1/2 ln\|(9)-1\|	simplify\:-\frac{1}{2}\ln\left\|(9)+1\right\|+\frac{1}{2}\ln\left\|(9)-1\right\|
simplify ln(25/60)	simplify\:\ln(\frac{25}{60})
simplify log_{0.9}(4x)	simplify\:\log_{0.9}(4x)
simplify log_{3}(x)-8log_{3}(x+8)	simplify\:\log_{3}(x)-8\log_{3}(x+8)
simplify ln(2120)-ln(2120-10000)-ln(-1/249)	simplify\:\ln(2120)-\ln(2120-10000)-\ln(-\frac{1}{249})
simplify log_{10}(x)+1/7 log_{10}(y)	simplify\:\log_{10}(x)+\frac{1}{7}\log_{10}(y)
simplify (1-(20.93))ln((1-0.93)/(0.93))	simplify\:(1-(2\cdot\:0.93))\cdot\:\ln(\frac{1-0.93}{0.93})
simplify log_{e}((e^{a+b*x}-f(x))/(f(x)))	simplify\:\log_{e}(\frac{e^{a+b\cdot\:x}-f(x)}{f(x)})
simplify ln(y/(x^{2n)}*e^{(-m)/x})	simplify\:\ln(\frac{y}{x^{2n}}\cdot\:e^{\frac{-m}{x}})
simplify ln(-2ydy)	simplify\:\ln(-2ydy)
simplify ln(d+w)-ln(d)	simplify\:\ln(d+w)-\ln(d)
simplify ln(1/(1+e^{\frac{x-y){2}}})	simplify\:\ln(\frac{1}{1+e^{\frac{x-y}{2}}})
simplify 10log_{10}((5010^{-3})/(110^{-6)})	simplify\:10\log_{10}(\frac{50\cdot\:10^{-3}}{1\cdot\:10^{-6}})
simplify 4ln(x)+ln(y)	simplify\:4\ln(x)+\ln(y)
simplify ln(x)+ln(x^2)-6	simplify\:\ln(x)+\ln(x^{2})-6
simplify-1/6 ln(12)+1/6 ln(6)	simplify\:-\frac{1}{6}\ln(12)+\frac{1}{6}\ln(6)
simplify 1/2 ln(3e^{2x})	simplify\:\frac{1}{2}\ln(3e^{2x})
simplify ln((e^{3x}sqrt(x))/(sin(7x)))	simplify\:\ln(\frac{e^{3x}\sqrt{x}}{\sin(7x)})
simplify ln((3+1)/3)	simplify\:\ln(\frac{3+1}{3})
simplify 4log_{10}(x)-3log_{10}(y)	simplify\:4\log_{10}(x)-3\log_{10}(y)
simplify 1/8 (ln(6)-2ln(2))	simplify\:\frac{1}{8}(\ln(6)-2\ln(2))
simplify ln(p/(p-200))	simplify\:\ln(\frac{p}{p-200})
simplify 0.082ln(0.9896(1-(0.0868)/(30.67)))	simplify\:0.082\cdot\:\ln(0.9896\cdot\:(1-\frac{0.0868}{30.67}))
simplify log_{u}(13e)	simplify\:\log_{u}(13e)
simplify ln(10000)-ln(9500)	simplify\:\ln(10000)-\ln(9500)
simplify ln((30.6)/(30))	simplify\:\ln(\frac{30.6}{30})
simplify 2log_{e}(5)+log_{e}((pi^9)/8)	simplify\:2\log_{e}(5)+\log_{e}(\frac{π^{9}}{8})
simplify-log_{10}(6.86*10^{-8})	simplify\:-\log_{10}(6.86\cdot\:10^{-8})
simplify 2x+ln(cos(3x))-1/2 ln(x-4)	simplify\:2x+\ln(\cos(3x))-\frac{1}{2}\ln(x-4)
join-(ln(5/22))/(2ln(110/7))	join\:-\frac{\ln(\frac{5}{22})}{2\ln(\frac{110}{7})}
simplify ln(100e^x)	simplify\:\ln(100e^{x})
simplify-ln(1/(0.99))	simplify\:-\ln(\frac{1}{0.99})
simplify ln((-1*3^n)/(2^nb^n))	simplify\:\ln(\frac{-1\cdot\:3^{n}}{2^{n}b^{n}})
simplify-1/2 ln(7)+1/2 ln(5)	simplify\:-\frac{1}{2}\ln(7)+\frac{1}{2}\ln(5)
join (13^{(2ln(2))/(ln(13))}+10)/6	join\:\frac{13^{\frac{2\ln(2)}{\ln(13)}}+10}{6}
simplify ln((2n^2+1)/(n^2+1))	simplify\:\ln(\frac{2n^{2}+1}{n^{2}+1})
simplify 3/2 ln((x-1)/(x+2))-5	simplify\:\frac{3}{2}\ln(\frac{x-1}{x+2})-5
expand log_{10}((11r^3)/w)	expand\:\log_{10}(\frac{11r^{3}}{w})
simplify 2log_{e}(9)+2log_{e}(pi)-log_{e}(8)	simplify\:2\log_{e}(9)+2\log_{e}(π)-\log_{e}(8)
simplify 1/2 ln((sqrt(2)-1)/(sqrt(2)+1))	simplify\:\frac{1}{2}\ln(\frac{\sqrt{2}-1}{\sqrt{2}+1})

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