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expand (1/2)log_{b}(a)-5log_{b}(c)	expand\:(\frac{1}{2})\log_{b}(a)-5\log_{b}(c)
simplify 1/3 ln(49/76)	simplify\:\frac{1}{3}\ln(\frac{49}{76})
simplify-log_{10}(2.65*10^{-8})	simplify\:-\log_{10}(2.65\cdot\:10^{-8})
simplify 1.76776ln(1/((2sqrt(2))))+0.61871	simplify\:1.76776\ln(\frac{1}{(2\sqrt{2})})+0.61871
simplify ((0+5)/4)^2*ln((0+5)/4)	simplify\:(\frac{0+5}{4})^{2}\cdot\:\ln(\frac{0+5}{4})
simplify 5log_{b}(t)-log_{b}(s)	simplify\:5\log_{b}(t)-\log_{b}(s)
simplify ln(5x^2y^3)	simplify\:\ln(5x^{2}y^{3})
simplify ln(460/760)	simplify\:\ln(\frac{460}{760})
simplify 3log_{6}(a)+6log_{6}(b)	simplify\:3\log_{6}(a)+6\log_{6}(b)
simplify 6log_{6}(z)-1/4 log_{6}(y)+7log_{6}(x)	simplify\:6\log_{6}(z)-\frac{1}{4}\log_{6}(y)+7\log_{6}(x)
simplify 1/3 (ln(9)-ln(2))	simplify\:\frac{1}{3}(\ln(9)-\ln(2))
simplify ln(x/(1e^6))	simplify\:\ln(\frac{x}{1e^{6}})
simplify-160ln(x)-160ln(y)	simplify\:-160\ln(x)-160\ln(y)
simplify-ln((-t)/(t+1))	simplify\:-\ln(\frac{-t}{t+1})
simplify-20.96+1.045ln(e)+3.33ln(g)-0.165ln(g^2)	simplify\:-20.96+1.045\ln(e)+3.33\ln(g)-0.165\ln(g^{2})
join (ln(90))/(2ln(2))-1	join\:\frac{\ln(90)}{2\ln(2)}-1
simplify 4x+5ln(x)-ln(2xy)	simplify\:4x+5\ln(x)-\ln(2xy)
simplify ln(u)+3ln(z+1)-2ln(z+2)	simplify\:\ln(u)+3\ln(z+1)-2\ln(z+2)
simplify 10log_{10}((510^{-6})/(1*10^{-12)})	simplify\:10\cdot\:\log_{10}(\frac{5\cdot\:10^{-6}}{1\cdot\:10^{-12}})
simplify 100+20*ln((65)/(65-23))	simplify\:100+20\cdot\:\ln(\frac{65}{65-23})
simplify ln(4/9)*(20)/(ln(4/11))	simplify\:\ln(\frac{4}{9})\cdot\:\frac{20}{\ln(\frac{4}{11})}
expand ln((-2.772)^{19.764})	expand\:\ln((-2.772)^{19.764})
simplify ln(xsin(x)dx)	simplify\:\ln(x\sin(x)dx)
simplify 7ln(6/7)-ln(6)	simplify\:7\ln(\frac{6}{7})-\ln(6)
simplify 200ln((400)/(500-300))	simplify\:200\ln(\frac{400}{500-300})
simplify ln((x^6sqrt(x^2+2))/((x+2)^2))	simplify\:\ln(\frac{x^{6}\sqrt{x^{2}+2}}{(x+2)^{2}})
expand 6ln(x+8)-9ln(x)	expand\:6\ln(x+8)-9\ln(x)
simplify 2ln(x)+ln(y)-0.5ln(z)	simplify\:2\ln(x)+\ln(y)-0.5\ln(z)
simplify ln(((x+4)^7)/(x^7sqrt(x+5)))	simplify\:\ln(\frac{(x+4)^{7}}{x^{7}\sqrt{x+5}})
simplify log_{b}(xyz)-2log_{b}(w)	simplify\:\log_{b}(xyz)-2\log_{b}(w)
simplify log_{4}(6)+3log_{4}(x)	simplify\:\log_{4}(6)+3\log_{4}(x)
simplify ln((1^4)/((1+1)^4))	simplify\:\ln(\frac{1^{4}}{(1+1)^{4}})
simplify ln(((sin(x)cos^4(x)))/4)	simplify\:\ln(\frac{(\sin(x)\cos^{4}(x))}{4})
simplify ln(90/70)	simplify\:\ln(\frac{90}{70})
simplify ln(2x)4	simplify\:\ln(2x)4
simplify-log_{10}(1.7*10^{-12})	simplify\:-\log_{10}(1.7\cdot\:10^{-12})
simplify ln\|x\|+2ln\|x^2+4\|+C	simplify\:\ln\left\|x\right\|+2\ln\left\|x^{2}+4\right\|+C
simplify-ln(6)+ln(5)+ln(5)-2ln(2)	simplify\:-\ln(6)+\ln(5)+\ln(5)-2\ln(2)
simplify 2ln(5)+2ln(2)	simplify\:2\ln(5)+2\ln(2)
simplify ln(-e^{-2}*0.2)	simplify\:\ln(-e^{-2}\cdot\:0.2)
simplify log_{10}(-6i)	simplify\:\log_{10}(-6i)
simplify ((1))/2 ln(x)-ln(x+1)	simplify\:\frac{(1)}{2}\ln(x)-\ln(x+1)
simplify ln^2(1/3)-(ln(1/3))^2	simplify\:\ln^{2}(\frac{1}{3})-(\ln(\frac{1}{3}))^{2}
simplify-2ln(1-x)+ln(x+2)	simplify\:-2\ln(1-x)+\ln(x+2)
simplify ln(sin(x))+ln(x+y)	simplify\:\ln(\sin(x))+\ln(x+y)
simplify 13ln(208/3)+7ln(80-0.75*208/3)	simplify\:13\ln(\frac{208}{3})+7\ln(80-0.75\cdot\:\frac{208}{3})
simplify ln(41/10)-1/4	simplify\:\ln(\frac{41}{10})-\frac{1}{4}
simplify 1/4 ln(x+2)-1/4 ln(x-2)	simplify\:\frac{1}{4}\ln(x+2)-\frac{1}{4}\ln(x-2)
simplify ln((273.15)/(262.05))	simplify\:\ln(\frac{273.15}{262.05})
simplify ln(2)+5ln(x-1)-2ln(x+3)	simplify\:\ln(2)+5\ln(x-1)-2\ln(x+3)
simplify 2ln(x-4)-ln(x+4)-ln(x^2-16)+ln(4)+ln(x)	simplify\:2\ln(x-4)-\ln(x+4)-\ln(x^{2}-16)+\ln(4)+\ln(x)
simplify ln(x)+ln(y)+(x(dy)/(dx)+y)/y	simplify\:\ln(x)+\ln(y)+\frac{x\frac{dy}{dx}+y}{y}
simplify-1/2 ln(2+x)-1/2 ln(2-x)	simplify\:-\frac{1}{2}\ln(2+x)-\frac{1}{2}\ln(2-x)
simplify ln(θe^{-n(x^1+x^2+x^3)})	simplify\:\ln(θe^{-n(x^{1}+x^{2}+x^{3})})
simplify-1/3 ln((5+1)/(5-2))	simplify\:-\frac{1}{3}\ln(\frac{5+1}{5-2})
simplify 4ln(97/100)	simplify\:4\ln(\frac{97}{100})
simplify 1/2(ln(0.5)-ln(z))/(z/2(ln(2))^2)	simplify\:\frac{1}{2}\cdot\:\frac{\ln(0.5)-\ln(z)}{\frac{z}{2}\cdot\:(\ln(2))^{2}}
simplify log_{e}(-1/6 (x^2-6x+5))	simplify\:\log_{e}(-\frac{1}{6}(x^{2}-6x+5))
simplify ln(xe^{-6850x})	simplify\:\ln(xe^{-6850x})
simplify log_{2}(28.8)-log_{2}(1.8)	simplify\:\log_{2}(28.8)-\log_{2}(1.8)
simplify ln((a^{25})/(a^3))	simplify\:\ln(\frac{a^{25}}{a^{3}})
simplify-log_{10}(2.3x10^{-10})	simplify\:-\log_{10}(2.3x10^{-10})
simplify ln(2x^4)+ln(3x^5)	simplify\:\ln(2x^{4})+\ln(3x^{5})
simplify ln(w)+2ln(y)	simplify\:\ln(w)+2\ln(y)
simplify log_{3}(-x)-log_{3}(2)+2	simplify\:\log_{3}(-x)-\log_{3}(2)+2
simplify ((6ln(x+9)+ln(x)-2ln(x)))/2	simplify\:\frac{(6\ln(x+9)+\ln(x)-2\ln(x))}{2}
simplify ln((3z+2i)/(4z-5i))	simplify\:\ln(\frac{3z+2i}{4z-5i})
simplify ln(e^x+1)+ln(e^{-x}+1)	simplify\:\ln(e^{x}+1)+\ln(e^{-x}+1)
simplify ln((77*914555-77)/(914555-77))	simplify\:\ln(\frac{77\cdot\:914555-77}{914555-77})
simplify ln(x^2+4)+ln(x^2+x)	simplify\:\ln(x^{2}+4)+\ln(x^{2}+x)
simplify ln(15)-2(ln(4)+ln(32))	simplify\:\ln(15)-2(\ln(4)+\ln(32))
simplify ln(1/(0.15))0.1	simplify\:\ln(\frac{1}{0.15})0.1
simplify 1/2 ln(30)+1/2 ln(1-1/2)	simplify\:\frac{1}{2}\ln(30)+\frac{1}{2}\ln(1-\frac{1}{2})
simplify 5log_{b}(x+1)-2log_{b}(y)	simplify\:5\log_{b}(x+1)-2\log_{b}(y)
simplify ln(p/(p-50))	simplify\:\ln(\frac{p}{p-50})
simplify-log_{10}(5.62*10^{-10})	simplify\:-\log_{10}(5.62\cdot\:10^{-10})
simplify ln(39/1)	simplify\:\ln(\frac{39}{1})
expand log_{7}(ab^4*c^3)	expand\:\log_{7}(ab^{4}\cdot\:c^{3})
simplify ln(x-4)+ln(x-1)	simplify\:\ln(x-4)+\ln(x-1)
simplify ln(x^2+x)-ln(x+1)	simplify\:\ln(x^{2}+x)-\ln(x+1)
simplify 19log_{3}(x)-82log_{3}(y)+log_{3}(z)	simplify\:19\log_{3}(x)-82\log_{3}(y)+\log_{3}(z)
expand log_{2}(((6^4)/(11))^5)	expand\:\log_{2}((\frac{6^{4}}{11})^{5})
simplify ln(2)+2ln(x)-ln(9)-5ln(y)-6ln(z-4)	simplify\:\ln(2)+2\ln(x)-\ln(9)-5\ln(y)-6\ln(z-4)
simplify ln((y/x)/(y/x+1))	simplify\:\ln(\frac{\frac{y}{x}}{\frac{y}{x}+1})
expand log_{5}(5sqrt(x))	expand\:\log_{5}(5\sqrt{x})
simplify ln((1-infinity)/(1+infinity))	simplify\:\ln(\frac{1-\infty\:}{1+\infty\:})
simplify 1/4 ln(3/7)	simplify\:\frac{1}{4}\ln(\frac{3}{7})
simplify ln((1+a)/b)	simplify\:\ln(\frac{1+a}{b})
simplify log_{10}(x^2-1)1+log_{10}(x-1)	simplify\:\log_{10}(x^{2}-1)1+\log_{10}(x-1)
simplify 4+4ln(x)-ln^2(x)	simplify\:4+4\ln(x)-\ln^{2}(x)
simplify 2(ln(sqrt(2)+1)-2ln(sqrt(2)-1))	simplify\:2(\ln(\sqrt{2}+1)-2\ln(\sqrt{2}-1))
simplify-log_{10}(5.7(10^{-8}))	simplify\:-\log_{10}(5.7(10^{-8}))
expand log_{10}((2x^5)/((7+x)^4))	expand\:\log_{10}(\frac{2x^{5}}{(7+x)^{4}})
simplify log_{3}(x*sin(x))	simplify\:\log_{3}(x\cdot\:\sin(x))
simplify-20log_{10}(2/5)+1.76+8*6.02	simplify\:-20\log_{10}(\frac{2}{5})+1.76+8\cdot\:6.02
simplify log_{2}(7/11 e^{15/4})-10	simplify\:\log_{2}(\frac{7}{11}e^{\frac{15}{4}})-10
simplify log_{10}(12+1/2)log_{10}(7)-log_{10}(2)	simplify\:\log_{10}(12+\frac{1}{2})\log_{10}(7)-\log_{10}(2)
simplify 110(ln(24)-ln(19))+55	simplify\:110(\ln(24)-\ln(19))+55
simplify 5ln(*5l^2)	simplify\:5\ln(\cdot\:5l^{2})
expand 2log_{10}(5/4)	expand\:2\log_{10}(\frac{5}{4})

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