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Popular Algebra Problems

simplify ln(40)-ln(4)	simplify\:\ln(40)-\ln(4)
simplify ln((y^2+x^2)/(x^2))	simplify\:\ln(\frac{y^{2}+x^{2}}{x^{2}})
simplify-450ln(c/(1.75b))	simplify\:-450\ln(\frac{c}{1.75b})
simplify ln(1/(x(x+1)(x+2)))	simplify\:\ln(\frac{1}{x(x+1)(x+2)})
simplify-t^2+ln(5t)+15	simplify\:-t^{2}+\ln(5t)+15
simplify ln((2.527)/(2x+1))-5	simplify\:\ln(\frac{2.527}{2x+1})-5
simplify ln(((x+1)(x+2))/(x+3))	simplify\:\ln(\frac{(x+1)(x+2)}{x+3})
simplify ln(sec(x)+tan(x))-ln(sec(x))	simplify\:\ln(\sec(x)+\tan(x))-\ln(\sec(x))
simplify ln(1)-ln(1/(sqrt(2)))	simplify\:\ln(1)-\ln(\frac{1}{\sqrt{2}})
expand log_{2}(6mn^4)	expand\:\log_{2}(6mn^{4})
simplify ln((6H)/(0.8W+t))	simplify\:\ln(\frac{6H}{0.8W+t})
simplify ln((x^ye^{-x})/(y!(1-e^{-x))})	simplify\:\ln(\frac{x^{y}e^{-x}}{y!(1-e^{-x})})
expand log_{3}((x^6)/(5y))	expand\:\log_{3}(\frac{x^{6}}{5y})
simplify-ln(x)+9ln(y)-3ln(z)	simplify\:-\ln(x)+9\ln(y)-3\ln(z)
expand ln((sqrt(x))/(e^x(x+3)^2))	expand\:\ln(\frac{\sqrt{x}}{e^{x}(x+3)^{2}})
simplify ln((x^9sqrt(x^2+2))/((x+2)^5))	simplify\:\ln(\frac{x^{9}\sqrt{x^{2}+2}}{(x+2)^{5}})
simplify (2.3912)/(15010800)ln(70/30)	simplify\:\frac{2.3\cdot\:9\cdot\:12}{150\cdot\:10800}\cdot\:\ln(\frac{70}{30})
simplify-ln(V/(Nx))-ln((bV)/(Nx))	simplify\:-\ln(\frac{V}{Nx})-\ln(\frac{bV}{Nx})
simplify ln(2v^2+1)-2ln(v^2+1)-2ln(y)	simplify\:\ln(2v^{2}+1)-2\ln(v^{2}+1)-2\ln(y)
simplify ln(80)+ln(20)	simplify\:\ln(80)+\ln(20)
simplify ln(y)+ln(x/y+1)	simplify\:\ln(y)+\ln(\frac{x}{y}+1)
simplify ln\|b\|ln(b/a)+(-ln(\|b\|^2)+ln(\|a\|^2))/2	simplify\:\ln\left\|b\right\|\ln(\frac{b}{a})+\frac{-\ln(\left\|b\right\|^{2})+\ln(\left\|a\right\|^{2})}{2}
simplify log_{5}(1/20)	simplify\:\log_{5}(\frac{1}{20})
simplify-log_{10}(3.2*10^{-6})	simplify\:-\log_{10}(3.2\cdot\:10^{-6})
simplify 10log_{10}((10^{-6}+10^{-6})/(10^{-12)})	simplify\:10\log_{10}(\frac{10^{-6}+10^{-6}}{10^{-12}})
simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5))	simplify\:-\log_{10}(1.8\cdot\:10^{-4})+\log_{10}(\frac{1}{1.5})
simplify ln(e^5*3^{2log_{3}(3)})	simplify\:\ln(e^{5}\cdot\:3^{2\log_{3}(3)})
simplify ln((m!e^{-x})/((1+x)^{m+1)})	simplify\:\ln(\frac{m!e^{-x}}{(1+x)^{m+1}})
simplify ln(x*x)	simplify\:\ln(x\cdot\:x)
simplify ln((2x+1)/(x+2))	simplify\:\ln(\frac{2x+1}{x+2})
simplify log_{e}(y/2)	simplify\:\log_{e}(\frac{y}{2})
join (5ln(29/74))/(ln(59/74))	join\:\frac{5\ln(\frac{29}{74})}{\ln(\frac{59}{74})}
simplify 20log_{10}((x2pi3)/((100.02)))	simplify\:20\cdot\:\log_{10}(\frac{x\cdot\:2π\cdot\:3}{(10\cdot\:0.02)})
simplify log_{10}(116-x^2)-2log_{10}(x-1)	simplify\:\log_{10}(116-x^{2})-2\log_{10}(x-1)
simplify 5(ln\|1-5\|-ln\|1-4\|)+1	simplify\:5(\ln\left\|1-5\right\|-\ln\left\|1-4\right\|)+1
simplify ln(a*e^x)	simplify\:\ln(a\cdot\:e^{x})
simplify 3log_{a}(x)-1/4 log_{a}(w)+7log_{a}(y)	simplify\:3\log_{a}(x)-\frac{1}{4}\log_{a}(w)+7\log_{a}(y)
simplify-ln(7e^{-x})	simplify\:-\ln(7e^{-x})
simplify 3ln(pq)+4ln(pq^2)	simplify\:3\ln(pq)+4\ln(pq^{2})
simplify log_{e}(5204/5101)	simplify\:\log_{e}(\frac{5204}{5101})
simplify 6log_{c}(y)-1/3 log_{c}(w)+4log_{c}(x)	simplify\:6\log_{c}(y)-\frac{1}{3}\log_{c}(w)+4\log_{c}(x)
simplify ln(x^2-9)-ln(3+x)	simplify\:\ln(x^{2}-9)-\ln(3+x)
simplify-log_{10}(1.83*10^{-6})	simplify\:-\log_{10}(1.83\cdot\:10^{-6})
simplify 2(log_{6}(x)-2log_{6}(z))+3log_{6}(w)	simplify\:2(\log_{6}(x)-2\log_{6}(z))+3\log_{6}(w)
simplify ln((sqrt(x+1))/(9-x^2))	simplify\:\ln(\frac{\sqrt{x+1}}{9-x^{2}})
simplify (100)/(2pi200)ln((4+2200^2)/(25))	simplify\:\frac{100}{2\cdot\:π\cdot\:200}\cdot\:\ln(\frac{4+2\cdot\:200^{2}}{25})
simplify ln((\|x+sqrt(x^2-4)\|)/2)	simplify\:\ln(\frac{\left\|x+\sqrt{x^{2}-4}\right\|}{2})
simplify ln(-3e^{2x})	simplify\:\ln(-3e^{2x})
simplify 1/3 log_{4}(y)-3log_{4}(x)	simplify\:\frac{1}{3}\log_{4}(y)-3\log_{4}(x)
simplify ln(7/382)	simplify\:\ln(\frac{7}{382})
simplify 1/5 (ln(10+sqrt(101))-ln(-5+sqrt(26)))	simplify\:\frac{1}{5}(\ln(10+\sqrt{101})-\ln(-5+\sqrt{26}))
expand 1/2 log_{10}(x)-2log_{10}(y)	expand\:\frac{1}{2}\log_{10}(x)-2\log_{10}(y)
simplify 182000(ln(0.58)-ln(1.3))	simplify\:182000(\ln(0.58)-\ln(1.3))
simplify 5log_{b}(x)+2log_{b}(z)	simplify\:5\log_{b}(x)+2\log_{b}(z)
simplify 2log_{x}(-4log_{y}(x))	simplify\:2\log_{x}(-4\log_{y}(x))
join 1/2 log_{10}(6)	join\:\frac{1}{2}\log_{10}(6)
simplify 1/4 ln\| 3/2-2/1 \|-1/4 ln\| 3/2+2/1 \|	simplify\:\frac{1}{4}\ln\left\|\frac{3}{2}-\frac{2}{1}\right\|-\frac{1}{4}\ln\left\|\frac{3}{2}+\frac{2}{1}\right\|
simplify log_{2}(x-5)+log_{2}(x-11)	simplify\:\log_{2}(x-5)+\log_{2}(x-11)
simplify 2log_{3}(x)-3log_{3}(y)+5log_{3}(z)	simplify\:2\log_{3}(x)-3\log_{3}(y)+5\log_{3}(z)
simplify 1/2 log_{e}(1+(2y)/x)+log_{e}(x)	simplify\:\frac{1}{2}\log_{e}(1+\frac{2y}{x})+\log_{e}(x)
join 1/2 log_{10}(7)	join\:\frac{1}{2}\log_{10}(7)
join derivative of 1/8 ln(4\|ln(x\|))+c	join\:\frac{d}{dx}(\frac{1}{8}\ln(4\left\|\ln(x)\right\|))+c
simplify 5ln(x)+3/4 ln(y)	simplify\:5\ln(x)+\frac{3}{4}\ln(y)
simplify-ln(2-y)-ln(x)	simplify\:-\ln(2-y)-\ln(x)
expand ln(e^6sqrt(4-x))	expand\:\ln(e^{6}\sqrt{4-x})
simplify-log_{10}(1.5*10^{-8})	simplify\:-\log_{10}(1.5\cdot\:10^{-8})
simplify ln(30/7)	simplify\:\ln(\frac{30}{7})
simplify 1/(0.000003)ln((25-15)/(75-15))	simplify\:\frac{1}{0.000003}\ln(\frac{25-15}{75-15})
simplify ln((t^2+1)^{1/2})+ln(k)	simplify\:\ln((t^{2}+1)^{\frac{1}{2}})+\ln(k)
simplify-1/9 ln(100/5)	simplify\:-\frac{1}{9}\ln(\frac{100}{5})
simplify ln((5+sqrt(6))/(2+sqrt(3)))	simplify\:\ln(\frac{5+\sqrt{6}}{2+\sqrt{3}})
simplify 1/2*ln(110/125)	simplify\:\frac{1}{2}\cdot\:\ln(\frac{110}{125})
simplify ln((30.6)/(70.1))	simplify\:\ln(\frac{30.6}{70.1})
simplify-log_{10}(6.66*10^{-3})	simplify\:-\log_{10}(6.66\cdot\:10^{-3})
simplify ln(ye^{-ypi})	simplify\:\ln(ye^{-yπ})
simplify-ln(12)+ln(9)	simplify\:-\ln(12)+\ln(9)
simplify ln((e^{(xβ)^2}(xβ)^{2yi})/(yi!))	simplify\:\ln(\frac{e^{(xβ)^{2}}(xβ)^{2yi}}{yi!})
simplify ln(2pi501.240.98111.210^{-6})	simplify\:\ln(2π\cdot\:501.24\cdot\:0.98\cdot\:111.2\cdot\:10^{-6})
simplify ln((0.34)/(0.32))	simplify\:\ln(\frac{0.34}{0.32})
simplify log_{e}(12x)	simplify\:\log_{e}(12x)
simplify 4.74-log_{10}(1/(1.859))	simplify\:4.74-\log_{10}(\frac{1}{1.859})
simplify 4log_{10}(y)+11log_{10}(x)	simplify\:4\log_{10}(y)+11\log_{10}(x)
simplify ln(v/(40))	simplify\:\ln(\frac{v}{40})
simplify 2log_{10}(x)+log_{10}(y)-1/2 log_{10}(z)	simplify\:2\log_{10}(x)+\log_{10}(y)-\frac{1}{2}\log_{10}(z)
simplify ln(x)-ln(c)	simplify\:\ln(x)-\ln(c)
simplify 1/2 log_{a}(5)-log_{a}(2)	simplify\:\frac{1}{2}\log_{a}(5)-\log_{a}(2)
simplify 4ln(4/10)	simplify\:4\ln(\frac{4}{10})
simplify (-ln(2)-5ln(x)-5)/x	simplify\:\frac{-\ln(2)-5\ln(x)-5}{x}
simplify 1/4 ln(7/2)	simplify\:\frac{1}{4}\ln(\frac{7}{2})
simplify 2log_{10}(x)+log_{10}(5x-8)	simplify\:2\log_{10}(x)+\log_{10}(5x-8)
simplify ln((cos(x^2))/x)	simplify\:\ln(\frac{\cos(x^{2})}{x})
simplify log_{e}(1/4)-log_{e}(4)	simplify\:\log_{e}(\frac{1}{4})-\log_{e}(4)
simplify log_{4}(((x^2*(1^2)/(3^2)y^2))/x)	simplify\:\log_{4}(\frac{(x^{2}\cdot\:\frac{1^{2}}{3^{2}}y^{2})}{x})
simplify ln((r^2s^{11})/(t^{14)})	simplify\:\ln(\frac{r^{2}s^{11}}{t^{14}})
factor 1/3 log_{a}((2x^2)/(by^5))	factor\:\frac{1}{3}\log_{a}(\frac{2x^{2}}{by^{5}})
simplify ln(pe^{-cp})	simplify\:\ln(pe^{-cp})
simplify log_{a^{22a}}(-1/2 (log_{a}(2)+1))	simplify\:\log_{a^{22a}}(-\frac{1}{2}(\log_{a}(2)+1))
simplify ln(10xe^{(-x)/(50)})	simplify\:\ln(10xe^{\frac{-x}{50}})
factor log_{10}((3x^2-15x)/(x^2+4x))	factor\:\log_{10}(\frac{3x^{2}-15x}{x^{2}+4x})
simplify 50*ln((54.8)/(29.5))	simplify\:50\cdot\:\ln(\frac{54.8}{29.5})

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