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simplify ln(5*10^{-4})	simplify\:\ln(5\cdot\:10^{-4})
simplify-log_{10}(7.56*10^6)	simplify\:-\log_{10}(7.56\cdot\:10^{6})
simplify ln(373e^{-x+9}e^{2y+14})	simplify\:\ln(373e^{-x+9}e^{2y+14})
simplify log_{5}(x)+3log_{5}(y)	simplify\:\log_{5}(x)+3\log_{5}(y)
expand log_{10}((x^3)/7)	expand\:\log_{10}(\frac{x^{3}}{7})
simplify ln((y-2)/(y+2))	simplify\:\ln(\frac{y-2}{y+2})
simplify ln(x^5)-ln(x^2)	simplify\:\ln(x^{5})-\ln(x^{2})
simplify 4log_{m}(w-7)-6log_{m}(w+7)	simplify\:4\log_{m}(w-7)-6\log_{m}(w+7)
expand ln(5/(12x))	expand\:\ln(\frac{5}{12x})
simplify ln((5ln(L)(2ln(M)))/(1/2 ln(K)))	simplify\:\ln(\frac{5\ln(L)(2\ln(M))}{\frac{1}{2}\ln(K)})
simplify ln(x)+3ln(y)-5ln(z)	simplify\:\ln(x)+3\ln(y)-5\ln(z)
expand log_{2}((p^3sqrt(q))/(16r^2))	expand\:\log_{2}(\frac{p^{3}\sqrt{q}}{16r^{2}})
simplify 1/3 ln(65/76)	simplify\:\frac{1}{3}\ln(\frac{65}{76})
simplify 3ln(x)+4ln(yz)-ln(x^2y^2)	simplify\:3\ln(x)+4\ln(yz)-\ln(x^{2}y^{2})
simplify 3ln(3)-4ln(2)+1	simplify\:3\ln(3)-4\ln(2)+1
simplify ln(x^{12}sqrt((y^{19))/(z^2)})	simplify\:\ln(x^{12}\sqrt{\frac{y^{19}}{z^{2}}})
join 4ln^3(-6e^3+9/2)	join\:4\ln^{3}(-6e^{3}+\frac{9}{2})
simplify 2log_{2}(a)+3log_{2}(b)	simplify\:2\log_{2}(a)+3\log_{2}(b)
simplify ln((x^7cos^3(x))/((x-1)^{9/2)})	simplify\:\ln(\frac{x^{7}\cos^{3}(x)}{(x-1)^{\frac{9}{2}}})
simplify ln((x+5)/(x+2))	simplify\:\ln(\frac{x+5}{x+2})
join ln(4)+3ln(x)+4ln(x^2+4)	join\:\ln(4)+3\ln(x)+4\ln(x^{2}+4)
simplify ln((-2)e^{-x})	simplify\:\ln((-2)e^{-x})
simplify ln(x)-ln(12-x)	simplify\:\ln(x)-\ln(12-x)
simplify ln((x-sin(x))(x+sin(x)))	simplify\:\ln((x-\sin(x))(x+\sin(x)))
simplify 0.057-(0.0592)/2 ln(1/(sqrt(0.21)))	simplify\:0.057-\frac{0.0592}{2}\ln(\frac{1}{\sqrt{0.21}})
simplify-0.6log_{2}(0.6)-(1-0.6)log_{2}(1-0.6)	simplify\:-0.6\cdot\:\log_{2}(0.6)-(1-0.6)\cdot\:\log_{2}(1-0.6)
simplify log_{(0.25)/(450)}(-2log_{4.5}(x))	simplify\:\log_{\frac{0.25}{450}}(-2\log_{4.5}(x))
simplify-log_{10}(5.27*10^{-6})	simplify\:-\log_{10}(5.27\cdot\:10^{-6})
simplify 10log_{10}(1/86400 10^{115/10})	simplify\:10\log_{10}(\frac{1}{86400}10^{\frac{115}{10}})
simplify 1/8 ln((22)/(-4))	simplify\:\frac{1}{8}\ln(\frac{22}{-4})
simplify ln(e^{(nyB)/(kT)}(1+e^{-(2yB)/(kT)})^n)	simplify\:\ln(e^{\frac{nyB}{kT}}(1+e^{-\frac{2yB}{kT}})^{n})
simplify 1/2 ln(x-6)-1/12 ln(x+6)+c	simplify\:\frac{1}{2}\ln(x-6)-\frac{1}{12}\ln(x+6)+c
simplify (ln(343133)-ln(242))/(160-130)	simplify\:\frac{\ln(343133)-\ln(242)}{160-130}
simplify ln((-1)/3 e^{9x})	simplify\:\ln(\frac{-1}{3}e^{9x})
simplify-log_{10}(424*10^{(-3)})	simplify\:-\log_{10}(424\cdot\:10^{(-3)})
simplify ln((ln(0.2))/(ln(0.8)))	simplify\:\ln(\frac{\ln(0.2)}{\ln(0.8)})
simplify ln(7*e^{-x+5})	simplify\:\ln(7\cdot\:e^{-x+5})
simplify ln(1/(4x)*e^{(-1)/2})	simplify\:\ln(\frac{1}{4x}\cdot\:e^{\frac{-1}{2}})
join 4ln(1+sqrt(2))	join\:4\ln(1+\sqrt{2})
simplify ln(1/2)-ln(c)	simplify\:\ln(\frac{1}{2})-\ln(c)
simplify ln((1+4)/2)	simplify\:\ln(\frac{1+4}{2})
simplify ln(2)+5ln(x)	simplify\:\ln(2)+5\ln(x)
simplify ln(e)+ln(2x)-ln(3y)-2ln(z)	simplify\:\ln(e)+\ln(2x)-\ln(3y)-2\ln(z)
simplify ln(zsqrt(y/z))	simplify\:\ln(z\sqrt{\frac{y}{z}})
simplify ln(b)-ln(z/a)	simplify\:\ln(b)-\ln(\frac{z}{a})
simplify ln((0.5006)/(1-0.5006))	simplify\:\ln(\frac{0.5006}{1-0.5006})
simplify ln(9)+ln(z)	simplify\:\ln(9)+\ln(z)
simplify ln((\sqrt[3]{6})/(36))	simplify\:\ln(\frac{\sqrt[3]{6}}{36})
expand ln((2^6x^{15})/(2^{4/5)y^{20}})	expand\:\ln(\frac{2^{6}x^{15}}{2^{\frac{4}{5}}y^{20}})
simplify 1/(0.919)ln(1/(1-0.919))	simplify\:\frac{1}{0.919}\ln(\frac{1}{1-0.919})
expand log_{10}(x/9)	expand\:\log_{10}(\frac{x}{9})
join 9/2 ln(3)	join\:\frac{9}{2}\ln(3)
simplify 1/2 ln(2(7.1)+1)+2ln(7.1-1)	simplify\:\frac{1}{2}\ln(2(7.1)+1)+2\ln(7.1-1)
simplify 6(1/5 ln\|z-1\|-1/5 ln\|z+4\|)	simplify\:6(\frac{1}{5}\ln\left\|z-1\right\|-\frac{1}{5}\ln\left\|z+4\right\|)
simplify ln(x^2+1)+1/2 ln(x+3)-ln(x-1)	simplify\:\ln(x^{2}+1)+\frac{1}{2}\ln(x+3)-\ln(x-1)
simplify-ln(i-n)+ln(i)	simplify\:-\ln(i-n)+\ln(i)
simplify 3ln(3/(sqrt(2)))	simplify\:3\ln(\frac{3}{\sqrt{2}})
simplify ln(t)+ln(t+6)+ln(t+4)	simplify\:\ln(t)+\ln(t+6)+\ln(t+4)
join (8*125^{-x})/(3ln(5))+C	join\:\frac{8\cdot\:125^{-x}}{3\ln(5)}+C
expand log_{2}(((x-5)^3)^{1/2})	expand\:\log_{2}(((x-5)^{3})^{\frac{1}{2}})
simplify-0.43log_{2}(0.43)-0.57log_{2}(0.57)	simplify\:-0.43\log_{2}(0.43)-0.57\log_{2}(0.57)
expand log_{b}(x^4y)	expand\:\log_{b}(x^{4}y)
simplify 4log_{b}(y)+6log_{b}(w)	simplify\:4\log_{b}(y)+6\log_{b}(w)
expand ln((e^4)/3)	expand\:\ln(\frac{e^{4}}{3})
simplify ln((0.003789035)/(0.001129995))	simplify\:\ln(\frac{0.003789035}{0.001129995})
simplify ln(6/16)	simplify\:\ln(\frac{6}{16})
simplify ln((e^{x+2y})/(1-(e^{x+2y))})	simplify\:\ln(\frac{e^{x+2y}}{1-(e^{x+2y})})
join log_{10}(2)\sqrt[8]{32}	join\:\log_{10}(2)\sqrt[8]{32}
simplify-log_{10}((10^{-14})/(2*10^{-9)})	simplify\:-\log_{10}(\frac{10^{-14}}{2\cdot\:10^{-9}})
simplify ln((4.6710^{22})/(510^{22)})	simplify\:\ln(\frac{4.67\cdot\:10^{22}}{5\cdot\:10^{22}})
simplify ln((x^2sqrt(x-1))/(3x-9))	simplify\:\ln(\frac{x^{2}\sqrt{x-1}}{3x-9})
expand ln(z^5\sqrt[3]{x})	expand\:\ln(z^{5}\sqrt[3]{x})
simplify ln(1/60)	simplify\:\ln(\frac{1}{60})
simplify ln(((9x+16y))/((e^{(1))x^{(2)})})	simplify\:\ln(\frac{(9x+16y)}{(e^{(1)}x^{(2)})})
simplify log_{3}(sin(x)cos(x))-log_{3}(3^xe^x)	simplify\:\log_{3}(\sin(x)\cos(x))-\log_{3}(3^{x}e^{x})
join (ln(A/b))/(2ln(10))	join\:\frac{\ln(\frac{A}{b})}{2\ln(10)}
simplify 1/2 ln(2x+5)-1/3 ln(x+8)+ln(C)	simplify\:\frac{1}{2}\ln(2x+5)-\frac{1}{3}\ln(x+8)+\ln(C)
simplify-log_{10}(7.83*10^{-8})	simplify\:-\log_{10}(7.83\cdot\:10^{-8})
simplify ln(8*12)	simplify\:\ln(8\cdot\:12)
simplify ln(((75+x))/(75))	simplify\:\ln(\frac{(75+x)}{75})
simplify log_{e}(25)+log_{e}(4)	simplify\:\log_{e}(25)+\log_{e}(4)
simplify 8/5 ln(4/3)+9/10 ln(81/77)	simplify\:\frac{8}{5}\ln(\frac{4}{3})+\frac{9}{10}\ln(\frac{81}{77})
simplify ln((sqrt(x^2+1-x))/(sqrt(x^2+1+x)))	simplify\:\ln(\frac{\sqrt{x^{2}+1-x}}{\sqrt{x^{2}+1+x}})
simplify 1/3 [2ln(x+3)+ln(x)-in(x^2-1)]	simplify\:\frac{1}{3}[2\ln(x+3)+\ln(x)-in(x^{2}-1)]
simplify 2/3 log_{10}(x)-1/3 log_{10}(y)	simplify\:\frac{2}{3}\log_{10}(x)-\frac{1}{3}\log_{10}(y)
simplify ln((1-(-1))/(1+2))	simplify\:\ln(\frac{1-(-1)}{1+2})
simplify-log_{10}(5.08*10^{-5})	simplify\:-\log_{10}(5.08\cdot\:10^{-5})
simplify ln(x)+2/5 ln(5u^2+1)	simplify\:\ln(x)+\frac{2}{5}\ln(5u^{2}+1)
simplify ln(3000)-ln(2000)	simplify\:\ln(3000)-\ln(2000)
simplify log_{4}(1/42)	simplify\:\log_{4}(\frac{1}{42})
expand log_{2}((8w)/(g^3))	expand\:\log_{2}(\frac{8w}{g^{3}})
simplify ln((6.61)/(1.74))*8.314	simplify\:\ln(\frac{6.61}{1.74})\cdot\:8.314
simplify ln(5+x^2)+1/9 ln(x)-ln(x+1)	simplify\:\ln(5+x^{2})+\frac{1}{9}\ln(x)-\ln(x+1)
simplify log_{4}(x)+6log_{4}(y)+3log_{4}(z)	simplify\:\log_{4}(x)+6\log_{4}(y)+3\log_{4}(z)
expand log_{6}(6/x)	expand\:\log_{6}(\frac{6}{x})
simplify-100ln(1/100)	simplify\:-100\ln(\frac{1}{100})
simplify ln(1/(1-0.6))	simplify\:\ln(\frac{1}{1-0.6})
simplify sec(sqrt(3x+1))-ln(3x)	simplify\:\sec(\sqrt{3x+1})-\ln(3x)
simplify ln(8.56*10^{-4})	simplify\:\ln(8.56\cdot\:10^{-4})
simplify ln((sqrt(x^2+a^2)+x)/a)	simplify\:\ln(\frac{\sqrt{x^{2}+a^{2}}+x}{a})

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