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join-1/5 log_{3}(2)	join\:-\frac{1}{5}\log_{3}(2)
simplify ln((x-2)/(x+2))	simplify\:\ln(\frac{x-2}{x+2})
simplify log_{2}(2x)-2log_{2}(y)+log_{2}(z)	simplify\:\log_{2}(2x)-2\log_{2}(y)+\log_{2}(z)
simplify 5ln((6.5)/6)	simplify\:5\ln(\frac{6.5}{6})
simplify ln(x/(y-x))	simplify\:\ln(\frac{x}{y-x})
simplify ln(x/s)	simplify\:\ln(\frac{x}{s})
simplify 1/3 ln(x-3)+1/3 ln(x^2+9)	simplify\:\frac{1}{3}\ln(x-3)+\frac{1}{3}\ln(x^{2}+9)
simplify 1/5 ln(5\|ln(x)\|)+C	simplify\:\frac{1}{5}\ln(5\left\|\ln(x)\right\|)+C
simplify 2ln(3)-ln(5)-16/45	simplify\:2\ln(3)-\ln(5)-\frac{16}{45}
simplify 1/6log_{2}(1/6)+5/6log_{2}(5/6)	simplify\:\frac{1}{6}\cdot\:\log_{2}(\frac{1}{6})+\frac{5}{6}\cdot\:\log_{2}(\frac{5}{6})
simplify ln((((7+3sqrt(5))/2))/(6))	simplify\:\ln(\frac{(\frac{7+3\sqrt{5}}{2})}{6})
simplify ln(1/96)	simplify\:\ln(\frac{1}{96})
simplify ln(x-10)-ln(x-1)	simplify\:\ln(x-10)-\ln(x-1)
simplify-ln(1/a)	simplify\:-\ln(\frac{1}{a})
simplify log_{10}((8^{34})(2^{43})(16^{68}))	simplify\:\log_{10}((8^{34})(2^{43})(16^{68}))
simplify ln(sin(a)x)	simplify\:\ln(\sin(a)x)
simplify ln((0.5-(0.044315)/2)*1.05)	simplify\:\ln((0.5-\frac{0.044315}{2})\cdot\:1.05)
simplify log_{10}(1/(10x))	simplify\:\log_{10}(\frac{1}{10x})
simplify 1/(ln(x))+ln(1/x)	simplify\:\frac{1}{\ln(x)}+\ln(\frac{1}{x})
simplify 6ln\| y/x-1\|-ln\| y/x+4\|+5ln\|x\|	simplify\:6\ln\left\|\frac{y}{x}-1\right\|-\ln\left\|\frac{y}{x}+4\right\|+5\ln\left\|x\right\|
simplify ln((x^4)/(e^{3y)})	simplify\:\ln(\frac{x^{4}}{e^{3y}})
simplify 3ln(3)-2ln(5)-ln(7)	simplify\:3\ln(3)-2\ln(5)-\ln(7)
simplify 1/2 ln(x+5)-2ln(x)+ln(y)	simplify\:\frac{1}{2}\ln(x+5)-2\ln(x)+\ln(y)
simplify-log_{e}(x)-log_{e}(y)	simplify\:-\log_{e}(x)-\log_{e}(y)
simplify-3ln(x)+x+xy+y-3ln(y)	simplify\:-3\ln(x)+x+xy+y-3\ln(y)
join 2log_{10}(2+sqrt(3))	join\:2\log_{10}(2+\sqrt{3})
simplify-log_{10}(3.8*10^{-5})	simplify\:-\log_{10}(3.8\cdot\:10^{-5})
expand ln((3x^5)/y)	expand\:\ln(\frac{3x^{5}}{y})
simplify ln(8c)	simplify\:\ln(8c)
simplify ln((1+x^2)/(1-x^2))	simplify\:\ln(\frac{1+x^{2}}{1-x^{2}})
simplify 1/180 (ln\|180x-30\|-ln(30))	simplify\:\frac{1}{180}(\ln\left\|180x-30\right\|-\ln(30))
simplify-log_{10}(6*10^{-3})	simplify\:-\log_{10}(6\cdot\:10^{-3})
simplify 3ln(4)-1/2 ln(x^2+4)	simplify\:3\ln(4)-\frac{1}{2}\ln(x^{2}+4)
simplify ln(6p)+3ln(2p-5)-ln(9)	simplify\:\ln(6p)+3\ln(2p-5)-\ln(9)
simplify 2log_{6}(x)+5log_{6}(y)	simplify\:2\log_{6}(x)+5\log_{6}(y)
simplify 1/2 ln((sqrt(7))/3)	simplify\:\frac{1}{2}\ln(\frac{\sqrt{7}}{3})
simplify-log_{10}(2.46*10^{-5})	simplify\:-\log_{10}(2.46\cdot\:10^{-5})
simplify 4ln(x-5)-ln(x^2-8x+15)+2ln(x-3)	simplify\:4\ln(x-5)-\ln(x^{2}-8x+15)+2\ln(x-3)
simplify 25log_{5}(x)+5log_{5}(y)	simplify\:25\log_{5}(x)+5\log_{5}(y)
simplify ln((x^5sqrt(x+2))/(x+8))	simplify\:\ln(\frac{x^{5}\sqrt{x+2}}{x+8})
simplify 1/5 ln((x-1)/(x^2-x+1))	simplify\:\frac{1}{5}\ln(\frac{x-1}{x^{2}-x+1})
simplify log_{10}((2x(1-5x)^{3/2})/((x+4)^3))	simplify\:\log_{10}(\frac{2x(1-5x)^{\frac{3}{2}}}{(x+4)^{3}})
simplify ln((0.075)/(0.06))	simplify\:\ln(\frac{0.075}{0.06})
simplify ln(2/(\|e^{(-1))-e\|})	simplify\:\ln(\frac{2}{\left\|e^{(-1)}-e\right\|})
simplify 19x+ln(19)+ln(x)	simplify\:19x+\ln(19)+\ln(x)
simplify 4ln(4x+8)+3ln(2x+7)	simplify\:4\ln(4x+8)+3\ln(2x+7)
expand log_{10}(y/(10))	expand\:\log_{10}(\frac{y}{10})
simplify ln(((1+e^x))/((1-e^{-x))})	simplify\:\ln(\frac{(1+e^{x})}{(1-e^{-x})})
simplify log_{10}(a)+3log_{10}(c)-5log_{10}(b)	simplify\:\log_{10}(a)+3\log_{10}(c)-5\log_{10}(b)
simplify ln(v)-ln\|x-1\|+2ln\|x\|	simplify\:\ln(v)-\ln\left\|x-1\right\|+2\ln\left\|x\right\|
simplify ln(((x-1))/(x+1))	simplify\:\ln(\frac{(x-1)}{x+1})
simplify ln((0.5)/(0.375))	simplify\:\ln(\frac{0.5}{0.375})
expand ln(x/3)	expand\:\ln(\frac{x}{3})
simplify 6log_{2}(x)+log_{2}(y)	simplify\:6\log_{2}(x)+\log_{2}(y)
join 1/3 ln(8/3+2sqrt(2))	join\:\frac{1}{3}\ln(\frac{8}{3}+2\sqrt{2})
simplify log_{10}(x)-1/2 log_{10}(z)+1/2 log_{10}(y)	simplify\:\log_{10}(x)-\frac{1}{2}\log_{10}(z)+\frac{1}{2}\log_{10}(y)
simplify ln(3x^2-4)-ln(x^2)	simplify\:\ln(3x^{2}-4)-\ln(x^{2})
simplify 1+ln(2x)-ln(3y)-2ln(z)	simplify\:1+\ln(2x)-\ln(3y)-2\ln(z)
simplify 4log_{10}(x)-2log_{10}(x-3)	simplify\:4\log_{10}(x)-2\log_{10}(x-3)
expand log_{2}(r^{1/3})t	expand\:\log_{2}(r^{\frac{1}{3}})t
simplify-log_{10}(1.9*10^{-3})	simplify\:-\log_{10}(1.9\cdot\:10^{-3})
expand log_{5}(x^5)	expand\:\log_{5}(x^{5})
simplify ln(1/(x^2+y^2))	simplify\:\ln(\frac{1}{x^{2}+y^{2}})
simplify (8.314310)/(196485)ln((5.3)/(140))	simplify\:\frac{8.314\cdot\:310}{1\cdot\:96485}\ln(\frac{5.3}{140})
simplify log_{10}(x+2)-1/2 log_{10}(1+x^2)	simplify\:\log_{10}(x+2)-\frac{1}{2}\log_{10}(1+x^{2})
simplify 5log_{a}(a)-log_{a}(a^7)+log_{a}(a^{-3})	simplify\:5\log_{a}(a)-\log_{a}(a^{7})+\log_{a}(a^{-3})
simplify ln((1/3)/(1/59049))	simplify\:\ln(\frac{\frac{1}{3}}{\frac{1}{59049}})
simplify ln(11/10)	simplify\:\ln(\frac{11}{10})
simplify ln(25)+ln(2)	simplify\:\ln(25)+\ln(2)
simplify 7log_{10}(x)-1/2 log_{10}(y)	simplify\:7\log_{10}(x)-\frac{1}{2}\log_{10}(y)
join log_{10}(2)-1/(2ln(10))	join\:\log_{10}(2)-\frac{1}{2\ln(10)}
simplify 6ln(6)-4ln(4)-2	simplify\:6\ln(6)-4\ln(4)-2
simplify ln((0.1)/(0.9))	simplify\:\ln(\frac{0.1}{0.9})
simplify 1/(2a)(ln\| u/a+1\|-ln\| u/a-1\|)+C	simplify\:\frac{1}{2a}(\ln\left\|\frac{u}{a}+1\right\|-\ln\left\|\frac{u}{a}-1\right\|)+C
simplify ln(x(y+1))	simplify\:\ln(x(y+1))
simplify ln(-4/3)-ln(-7/6)	simplify\:\ln(-\frac{4}{3})-\ln(-\frac{7}{6})
simplify ln(2x)+ln(3x)	simplify\:\ln(2x)+\ln(3x)
expand ln((x^2)/((x+4)^3))	expand\:\ln(\frac{x^{2}}{(x+4)^{3}})
simplify ln(x/(y+z))	simplify\:\ln(\frac{x}{y+z})
simplify ln(x/(sqrt(x^4y^2)))	simplify\:\ln(\frac{x}{\sqrt{x^{4}y^{2}}})
simplify-ln(3)+ln(2)	simplify\:-\ln(3)+\ln(2)
simplify ln((1.01110^4)/1)0.04316	simplify\:\ln(\frac{1.011\cdot\:10^{4}}{1})\cdot\:0.04316
simplify ln(x/2+1)-ln(x/2-1)	simplify\:\ln(\frac{x}{2}+1)-\ln(\frac{x}{2}-1)
simplify-ln(5)+ln(3)	simplify\:-\ln(5)+\ln(3)
simplify 2ln(1/2)-2ln(3/2)	simplify\:2\ln(\frac{1}{2})-2\ln(\frac{3}{2})
simplify-log_{10}(5.6*10^{-3})	simplify\:-\log_{10}(5.6\cdot\:10^{-3})
simplify 2ln(1/4)	simplify\:2\ln(\frac{1}{4})
simplify ln((3+x)/(3-x))	simplify\:\ln(\frac{3+x}{3-x})
simplify ln(x+1)-ln(1-x)	simplify\:\ln(x+1)-\ln(1-x)
simplify ln(x+6)+ln(4-2x)	simplify\:\ln(x+6)+\ln(4-2x)
simplify-log_{10}(2.4*10^{-8})	simplify\:-\log_{10}(2.4\cdot\:10^{-8})
simplify 3ln(4)+4ln(3)-4ln(3)	simplify\:3\ln(4)+4\ln(3)-4\ln(3)
simplify-log_{10}(1.34*10^{-6})	simplify\:-\log_{10}(1.34\cdot\:10^{-6})
simplify 5ln(3)-2ln(3)+2ln(4)	simplify\:5\ln(3)-2\ln(3)+2\ln(4)
simplify (1/2)^x-1/4 ln(1/x)+arcsin(x)-5/4	simplify\:(\frac{1}{2})^{x}-\frac{1}{4}\ln(\frac{1}{x})+\arcsin(x)-\frac{5}{4}
simplify ln(13)-ln(21)	simplify\:\ln(13)-\ln(21)
simplify ln(y)-ln(x)+1	simplify\:\ln(y)-\ln(x)+1
simplify-log_{10}(2.1*10^{-10})	simplify\:-\log_{10}(2.1\cdot\:10^{-10})
simplify ln(10/16)	simplify\:\ln(\frac{10}{16})
simplify 2.49-(0.0592)/1*log_{10}((0.35)/(0.25))	simplify\:2.49-\frac{0.0592}{1}\cdot\:\log_{10}(\frac{0.35}{0.25})

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