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simplify ln(((x^{1/3}))/(x^6sqrt(1+x^2)))	simplify\:\ln(\frac{(x^{\frac{1}{3}})}{x^{6}\sqrt{1+x^{2}}})
simplify 9.3098+log_{10}((0.0066)/(0.0468))	simplify\:9.3098+\log_{10}(\frac{0.0066}{0.0468})
simplify ln(1167/185)	simplify\:\ln(\frac{1167}{185})
simplify ln((x^5)/(y^3))+ln(1/(x^4y^2))	simplify\:\ln(\frac{x^{5}}{y^{3}})+\ln(\frac{1}{x^{4}y^{2}})
join 1/2 ln(2pi+sqrt(4pi^2+1))	join\:\frac{1}{2}\ln(2π+\sqrt{4π^{2}+1})
expand log_{10}(x^3y^5)	expand\:\log_{10}(x^{3}y^{5})
simplify ln(((x-1))/(2x+1))	simplify\:\ln(\frac{(x-1)}{2x+1})
expand log_{5}(y/7)	expand\:\log_{5}(\frac{y}{7})
simplify ln((e^2+sqrt(e^4)-1)/(2+sqrt(5)))	simplify\:\ln(\frac{e^{2}+\sqrt{e^{4}}-1}{2+\sqrt{5}})
simplify ln(0.6339pi)	simplify\:\ln(0.6339π)
simplify-ln\| x/2+1\|+ln\| x/2-1\|+4C	simplify\:-\ln\left\|\frac{x}{2}+1\right\|+\ln\left\|\frac{x}{2}-1\right\|+4C
simplify-log_{10}(1.1*10^{-5})	simplify\:-\log_{10}(1.1\cdot\:10^{-5})
join sin(9x)(1/81 ln\|tan(9x)+sec(9x)\|)	join\:\sin(9x)(\frac{1}{81}\ln\left\|\tan(9x)+\sec(9x)\right\|)
join log_{10}(5)sqrt(5)	join\:\log_{10}(5)\sqrt{5}
simplify ln(e/(xy))-e^{xy}	simplify\:\ln(\frac{e}{xy})-e^{xy}
simplify 2x+1/2 ln(2x+1)-3ln(x+2)	simplify\:2x+\frac{1}{2}\ln(2x+1)-3\ln(x+2)
expand log_{8}((xy^2)^2)	expand\:\log_{8}((xy^{2})^{2})
simplify ln(4000/500)	simplify\:\ln(\frac{4000}{500})
join-1/(3ln^2(3))	join\:-\frac{1}{3\ln^{2}(3)}
simplify 6/5 ln\| y/x-1\|+ln\|x\|	simplify\:\frac{6}{5}\ln\left\|\frac{y}{x}-1\right\|+\ln\left\|x\right\|
simplify ln(5*10^{-7})	simplify\:\ln(5\cdot\:10^{-7})
simplify ln(1*(46.7092)/(48.20979))	simplify\:\ln(1\cdot\:\frac{46.7092}{48.20979})
expand (ln(x^2)sin^3(x))/(sqrt(x^2+1))	expand\:\frac{\ln(x^{2})\sin^{3}(x)}{\sqrt{x^{2}+1}}
simplify ln(a+sqrt(a^2+4))-Cln(a+2)-ln(2)+Cln(2)	simplify\:\ln(a+\sqrt{a^{2}+4})-C\ln(a+2)-\ln(2)+C\ln(2)
simplify ln(1*10^7)	simplify\:\ln(1\cdot\:10^{7})
simplify 2log_{6}(z)-1/4 log_{6}(w)+6log_{6}(y)	simplify\:2\log_{6}(z)-\frac{1}{4}\log_{6}(w)+6\log_{6}(y)
simplify-3ln(2)+ln(3)	simplify\:-3\ln(2)+\ln(3)
expand log_{2}(x^9)	expand\:\log_{2}(x^{9})
simplify ln(6/10)	simplify\:\ln(\frac{6}{10})
simplify 1/2 ln(2v^2+1)-ln(v^2+1)	simplify\:\frac{1}{2}\ln(2v^{2}+1)-\ln(v^{2}+1)
expand 3log_{b}(q)+6log_{b}(v)	expand\:3\log_{b}(q)+6\log_{b}(v)
expand log_{10}((asqrt(b))/(c^6))	expand\:\log_{10}(\frac{a\sqrt{b}}{c^{6}})
simplify 1/2 log_{2}(a)+log_{2}(b)-2log_{2}(c)	simplify\:\frac{1}{2}\log_{2}(a)+\log_{2}(b)-2\log_{2}(c)
simplify ln((0.003637)/(0.002967))	simplify\:\ln(\frac{0.003637}{0.002967})
simplify log_{e}(\delta(t))	simplify\:\log_{e}(\delta(t))
simplify ln(e^x+x)-ln(x)	simplify\:\ln(e^{x}+x)-\ln(x)
simplify ln(a/(1-a))	simplify\:\ln(\frac{a}{1-a})
simplify ln((e^{-6}-1)/3)	simplify\:\ln(\frac{e^{-6}-1}{3})
simplify ln((x^c-a)/(x^c))	simplify\:\ln(\frac{x^{c}-a}{x^{c}})
simplify 2ln(2a)-ln(1a)+c	simplify\:2\ln(2a)-\ln(1a)+c
simplify ln(2e^β)	simplify\:\ln(2e^{β})
simplify ln\| y/x \|-y/x+ln\|x\|	simplify\:\ln\left\|\frac{y}{x}\right\|-\frac{y}{x}+\ln\left\|x\right\|
simplify ln((45.5)/(6.26))	simplify\:\ln(\frac{45.5}{6.26})
simplify ln(2000/70)	simplify\:\ln(\frac{2000}{70})
join-1/2 ln^2(2)	join\:-\frac{1}{2}\ln^{2}(2)
simplify log_{10}(([0.73])/([0.39]))+9.252	simplify\:\log_{10}(\frac{[0.73]}{[0.39]})+9.252
simplify 10log_{10}((810^{-4})/(110^{-12)})	simplify\:10\log_{10}(\frac{8\cdot\:10^{-4}}{1\cdot\:10^{-12}})
expand log_{10}((sqrt(x+10))/(10x^2))	expand\:\log_{10}(\frac{\sqrt{x+10}}{10x^{2}})
simplify ln((a^2b^4)/(c^8))	simplify\:\ln(\frac{a^{2}b^{4}}{c^{8}})
simplify ln(47/50)+(0.085)	simplify\:\ln(\frac{47}{50})+(0.085)
simplify ln(((x+2)^7)/(x^5))	simplify\:\ln(\frac{(x+2)^{7}}{x^{5}})
simplify ln(4e^{-6/100 t})-ln(0.03t)	simplify\:\ln(4e^{-\frac{6}{100}t})-\ln(0.03t)
simplify-log_{10}(1.8*10)	simplify\:-\log_{10}(1.8\cdot\:10)
simplify 0.026ln(5*10^{12-4})	simplify\:0.026\ln(5\cdot\:10^{12-4})
simplify (10ln(8)-10ln(7))/(8-7)	simplify\:\frac{10\ln(8)-10\ln(7)}{8-7}
simplify 4ln(3x+1)+ln(x-4)	simplify\:4\ln(3x+1)+\ln(x-4)
simplify log_{3}(1/126)	simplify\:\log_{3}(\frac{1}{126})
simplify 1/(2.5)ln(1/(1-0.9))	simplify\:\frac{1}{2.5}\ln(\frac{1}{1-0.9})
simplify log_{10}(c((a(t)L(t))/(K(t)))^{1-a})	simplify\:\log_{10}(c(\frac{a(t)L(t)}{K(t)})^{1-a})
simplify 4log_{2}(x)-6log_{2}(y)	simplify\:4\log_{2}(x)-6\log_{2}(y)
simplify ln(18*10^2)	simplify\:\ln(18\cdot\:10^{2})
simplify 41.86*ln(288/273)	simplify\:41.86\cdot\:\ln(\frac{288}{273})
simplify 1/3 ln(10/3)*15+ln(1/10)	simplify\:\frac{1}{3}\ln(\frac{10}{3})\cdot\:15+\ln(\frac{1}{10})
simplify ln^2(t)+ln(t)	simplify\:\ln^{2}(t)+\ln(t)
simplify ln(x^8e^{-x(4.28*10^{-5})})	simplify\:\ln(x^{8}e^{-x(4.28\cdot\:10^{-5})})
simplify 3log_{2}(x)-2log_{2}(y)+log_{2}(z)	simplify\:3\log_{2}(x)-2\log_{2}(y)+\log_{2}(z)
simplify (dx)/x (dx)-1/y (1-ln(x)-ln(y))	simplify\:\frac{dx}{x}(dx)-\frac{1}{y}(1-\ln(x)-\ln(y))
simplify ln((2^5)/(3^7))	simplify\:\ln(\frac{2^{5}}{3^{7}})
simplify 1/(2pi)[ 1/4 ln(3/2)+ln(4/3)]	simplify\:\frac{1}{2π}[\frac{1}{4}\ln(\frac{3}{2})+\ln(\frac{4}{3})]
simplify ln(22.08553-2)+3ln(8.905-1)	simplify\:\ln(22.08553-2)+3\ln(8.905-1)
simplify ln((4k+1)/(4k-1))	simplify\:\ln(\frac{4k+1}{4k-1})
simplify ln(90)-ln(80)	simplify\:\ln(90)-\ln(80)
simplify-ln(x)-1/2 ln(y)	simplify\:-\ln(x)-\frac{1}{2}\ln(y)
simplify (2ln(3)+ln(2))/(2ln(2)-ln(3))	simplify\:\frac{2\ln(3)+\ln(2)}{2\ln(2)-\ln(3)}
simplify ln(1/(sqrt(2pix)))	simplify\:\ln(\frac{1}{\sqrt{2\cdot\:π\cdot\:x}})
simplify log_{3}(10)-log_{3}(5)log_{3}(18)	simplify\:\log_{3}(10)-\log_{3}(5)\log_{3}(18)
simplify log_{b}(2)+2log_{b}(x)	simplify\:\log_{b}(2)+2\log_{b}(x)
simplify ln(3)(-1-1/2-1/8+3/4)+ln(2)(1-1/4-3/4)	simplify\:\ln(3)(-1-\frac{1}{2}-\frac{1}{8}+\frac{3}{4})+\ln(2)(1-\frac{1}{4}-\frac{3}{4})
simplify ln(1)-ln((sqrt(3))/2)	simplify\:\ln(1)-\ln(\frac{\sqrt{3}}{2})
expand log_{10}(5x)-log_{10}(4y)	expand\:\log_{10}(5x)-\log_{10}(4y)
expand log_{b}((x^2)/(y^3z^4))	expand\:\log_{b}(\frac{x^{2}}{y^{3}z^{4}})
simplify 3log_{7}(x)+1/3 log_{7}(y)	simplify\:3\log_{7}(x)+\frac{1}{3}\log_{7}(y)
simplify-log_{10}(3.4*10^{-2})	simplify\:-\log_{10}(3.4\cdot\:10^{-2})
simplify-log_{10}(4.8*10^{-10}M)	simplify\:-\log_{10}(4.8\cdot\:10^{-10}M)
simplify ln(θx^{(-x-θ)})	simplify\:\ln(θx^{(-x-θ)})
simplify 2ln\|x-1\|+5ln\|x+4\|+C	simplify\:2\cdot\:\ln\left\|x-1\right\|+5\cdot\:\ln\left\|x+4\right\|+C
simplify 3+ln((3/2)^{-3})-3+ln(2^2)	simplify\:3+\ln((\frac{3}{2})^{-3})-3+\ln(2^{2})
simplify ln(353)-ln(277)	simplify\:\ln(353)-\ln(277)
simplify 1/3 log_{6}(x)+2log_{6}(x+1)+3	simplify\:\frac{1}{3}\log_{6}(x)+2\log_{6}(x+1)+3
simplify (17/12)^2ln(17/12)	simplify\:(\frac{17}{12})^{2}\ln(\frac{17}{12})
simplify log_{4}((e^x+9)/(-4))	simplify\:\log_{4}(\frac{e^{x}+9}{-4})
simplify ln(8192/625)	simplify\:\ln(\frac{8192}{625})
simplify 12.75+log_{10}((0.05)/(0.15))	simplify\:12.75+\log_{10}(\frac{0.05}{0.15})
simplify log_{1/2}(1/50)	simplify\:\log_{\frac{1}{2}}(\frac{1}{50})
simplify 16x+ln(16x)	simplify\:16x+\ln(16x)
simplify 182000*[ln(0.45)-ln(1.3)]	simplify\:182000\cdot\:[\ln(0.45)-\ln(1.3)]
simplify ln((6.61)/(1.74))	simplify\:\ln(\frac{6.61}{1.74})
simplify ln((x+λ)((1+x)/λ)^k)	simplify\:\ln((x+λ)(\frac{1+x}{λ})^{k})
simplify ln(2.0574)+0.9*ln(2.0369)	simplify\:\ln(2.0574)+0.9\cdot\:\ln(2.0369)
simplify 1/4 [3ln(x+4)-ln(x)-ln(x^2-9)]	simplify\:\frac{1}{4}[3\ln(x+4)-\ln(x)-\ln(x^{2}-9)]

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