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Popular Algebra Problems

simplify 7log_{7}(x)-1/3 log_{7}(w)	simplify\:7\log_{7}(x)-\frac{1}{3}\log_{7}(w)
simplify ln((a/c)/(b/d))+ln(c/d)	simplify\:\ln(\frac{\frac{a}{c}}{\frac{b}{d}})+\ln(\frac{c}{d})
join 1/3 ln(-1/3)	join\:\frac{1}{3}\ln(-\frac{1}{3})
simplify ln(1.6*10^6)+ln(28)	simplify\:\ln(1.6\cdot\:10^{6})+\ln(28)
expand log_{10}((x^3)/(5y^2))	expand\:\log_{10}(\frac{x^{3}}{5y^{2}})
simplify ln\|1-3sqrt(2)\|-ln\|3\|	simplify\:\ln\left\|1-3\sqrt{2}\right\|-\ln\left\|3\right\|
simplify ln(((x^2+1)^5)/((1-x)^{1/2)})	simplify\:\ln(\frac{(x^{2}+1)^{5}}{(1-x)^{\frac{1}{2}}})
simplify 6-log_{10}((0.035)/(0.1))	simplify\:6-\log_{10}(\frac{0.035}{0.1})
simplify-log_{10}(7.57*10^{-3})	simplify\:-\log_{10}(7.57\cdot\:10^{-3})
simplify 1/(0.81*10^{-4)}ln((1.04)/(0.03))	simplify\:\frac{1}{0.81\cdot\:10^{-4}}\ln(\frac{1.04}{0.03})
simplify ln(((s-a))/(s-b))	simplify\:\ln(\frac{(s-a)}{s-b})
simplify ln(AB^n)	simplify\:\ln(AB^{n})
simplify ln(8x^3y^5)	simplify\:\ln(8x^{3}y^{5})
simplify ln((x^5\sqrt[3]{x-2})/((x^2+1)cos(x)))	simplify\:\ln(\frac{x^{5}\sqrt[3]{x-2}}{(x^{2}+1)\cos(x)})
expand log_{8}((12^6)/(7^2))	expand\:\log_{8}(\frac{12^{6}}{7^{2}})
simplify ln(5)+2ln(x)+3(x^2+5)	simplify\:\ln(5)+2\ln(x)+3(x^{2}+5)
simplify (28)/(0.693)*ln(100/9)	simplify\:\frac{28}{0.693}\cdot\:\ln(\frac{100}{9})
simplify ln(6(ln(x)-5))	simplify\:\ln(6(\ln(x)-5))
simplify 5log_{10}(x)-1/2 log_{10}(y)	simplify\:5\log_{10}(x)-\frac{1}{2}\log_{10}(y)
join 33/10 ln(6)	join\:\frac{33}{10}\ln(6)
simplify ln(a^2e^{-b/m t})	simplify\:\ln(a^{2}e^{-\frac{b}{m}t})
simplify ln(e^{x^2}(y^2x^2+2xy+(y^4)/2))	simplify\:\ln(e^{x^{2}}(y^{2}x^{2}+2xy+\frac{y^{4}}{2}))
simplify-ln(e-50)+ln(-50)	simplify\:-\ln(e-50)+\ln(-50)
simplify 3log_{2}(x)-4log_{2}(x+3)	simplify\:3\log_{2}(x)-4\log_{2}(x+3)
simplify ln(0.8)-ln(0.74)	simplify\:\ln(0.8)-\ln(0.74)
simplify 1/10 ln((0.267-0.017)/(0.132-0.017))	simplify\:\frac{1}{10}\ln(\frac{0.267-0.017}{0.132-0.017})
simplify 4log_{c}(y)-14/3 log_{c}(x)	simplify\:4\log_{c}(y)-\frac{14}{3}\log_{c}(x)
simplify ln(130)-ln(5)	simplify\:\ln(130)-\ln(5)
join 1/3 log_{8}(7)	join\:\frac{1}{3}\log_{8}(7)
simplify ln(7)-(2/3)*ln(2)+ln(3)	simplify\:\ln(7)-(\frac{2}{3})\cdot\:\ln(2)+\ln(3)
simplify ln(4e^i)	simplify\:\ln(4e^{i})
simplify ln(10000/1000000)	simplify\:\ln(\frac{10000}{1000000})
simplify ln(60e^{x/3})-ln(e^{x/2})	simplify\:\ln(60e^{\frac{x}{3}})-\ln(e^{\frac{x}{2}})
simplify log_{10}(2*10^{-2})	simplify\:\log_{10}(2\cdot\:10^{-2})
simplify ln((\|8+2x\|)/(\|-2+2x\|))	simplify\:\ln(\frac{\left\|8+2x\right\|}{\left\|-2+2x\right\|})
simplify 2(2ln\|x+2\|-ln\|x+1\|)	simplify\:2(2\ln\left\|x+2\right\|-\ln\left\|x+1\right\|)
simplify-1/(0.024)ln((6-p)/(4.2))	simplify\:-\frac{1}{0.024}\ln(\frac{6-p}{4.2})
simplify (19ln(y/x+5)-ln(y/x))/5-y/x	simplify\:\frac{19\ln(\frac{y}{x}+5)-\ln(\frac{y}{x})}{5}-\frac{y}{x}
simplify ln(x/(x/2))	simplify\:\ln(\frac{x}{\frac{x}{2}})
simplify ln(20474/375)*4	simplify\:\ln(\frac{20474}{375})\cdot\:4
simplify 10log_{10}((2/pi)/(10^{-12)})	simplify\:10\log_{10}(\frac{\frac{2}{π}}{10^{-12}})
simplify 1/2 ln(x)-ln(x+1)	simplify\:\frac{1}{2}\ln(x)-\ln(x+1)
simplify 2ln(4)-2ln(1/2)	simplify\:2\ln(4)-2\ln(\frac{1}{2})
simplify log_{2}(a+b)+log_{2}(a-b)-2log_{2}(a)	simplify\:\log_{2}(a+b)+\log_{2}(a-b)-2\log_{2}(a)
simplify ln((3(\sqrt[4]{3}))/9)	simplify\:\ln(\frac{3(\sqrt[4]{3})}{9})
simplify 36ln(9)-36ln(4)	simplify\:36\cdot\:\ln(9)-36\cdot\:\ln(4)
simplify ln(p)+ln(10000-p)	simplify\:\ln(p)+\ln(10000-p)
simplify ln((14)/(5*10^{31)})	simplify\:\ln(\frac{14}{5\cdot\:10^{31}})
simplify-6/8 (4/6 log_{2}(4/6)+1/6 log_{2}(1/6))	simplify\:-\frac{6}{8}(\frac{4}{6}\log_{2}(\frac{4}{6})+\frac{1}{6}\log_{2}(\frac{1}{6}))
simplify ln(x)+ln(y)-3ln(z)	simplify\:\ln(x)+\ln(y)-3\ln(z)
simplify ln(1/((2x^2)^{n/2)})	simplify\:\ln(\frac{1}{(2x^{2})^{\frac{n}{2}}})
simplify 370ln(37/6)-310	simplify\:370\ln(\frac{37}{6})-310
simplify 2ln(x)+ln(x^3)	simplify\:2\ln(x)+\ln(x^{3})
simplify ln((3x-5)/(2x+8))	simplify\:\ln(\frac{3x-5}{2x+8})
simplify ln(2x-1)+ln(x-1)	simplify\:\ln(2x-1)+\ln(x-1)
simplify 2log_{3}(x)-log_{3}(y)	simplify\:2\log_{3}(x)-\log_{3}(y)
simplify (ln(-88)-ln(-3))/5	simplify\:\frac{\ln(-88)-\ln(-3)}{5}
simplify-log_{10}(x)-log_{10}(0.0304x)	simplify\:-\log_{10}(x)-\log_{10}(0.0304x)
simplify 1/5 ln(59/74)	simplify\:\frac{1}{5}\ln(\frac{59}{74})
simplify ln((0.03)/(0.02))	simplify\:\ln(\frac{0.03}{0.02})
simplify 1.005*ln(500/1400)-0.287ln(500/2000)	simplify\:1.005\cdot\:\ln(\frac{500}{1400})-0.287\ln(\frac{500}{2000})
simplify 3.34+log_{10}((0.00546)/(0.00671))	simplify\:3.34+\log_{10}(\frac{0.00546}{0.00671})
simplify ln(1/(1-x^2))	simplify\:\ln(\frac{1}{1-x^{2}})
simplify-log_{10}(2.07(10^{-6}))	simplify\:-\log_{10}(2.07(10^{-6}))
simplify ln(ar(ax)^{r-1}e^{-(ax)^r})	simplify\:\ln(ar(ax)^{r-1}e^{-(ax)^{r}})
simplify 3ln(2)+4ln(5)	simplify\:3\ln(2)+4\ln(5)
expand log_{10}((x^5)/(sqrt(z)y^3))	expand\:\log_{10}(\frac{x^{5}}{\sqrt{z}y^{3}})
simplify ln(((1+ax))/2)	simplify\:\ln(\frac{(1+ax)}{2})
simplify ln(e^{-t}sin(t))	simplify\:\ln(e^{-t}\sin(t))
simplify 2ln(7)-6ln(z-9)	simplify\:2\cdot\:\ln(7)-6\cdot\:\ln(z-9)
simplify 63/17 ln\|-4\|-63/17 ln\|-8\|	simplify\:\frac{63}{17}\ln\left\|-4\right\|-\frac{63}{17}\ln\left\|-8\right\|
expand log_{8}(3x^3)	expand\:\log_{8}(3x^{3})
simplify log_{1/2}(1/2000)	simplify\:\log_{\frac{1}{2}}(\frac{1}{2000})
simplify pi/8 (ln(13)-ln(5))	simplify\:\frac{π}{8}(\ln(13)-\ln(5))
simplify ln(29000/24000)	simplify\:\ln(\frac{29000}{24000})
simplify ln(2)-3/2+ln(5/2)-21/50	simplify\:\ln(2)-\frac{3}{2}+\ln(\frac{5}{2})-\frac{21}{50}
simplify ln\|x\|+1/5 ln\|1+5u^3\|	simplify\:\ln\left\|x\right\|+\frac{1}{5}\ln\left\|1+5u^{3}\right\|
simplify 3ln(x+1)+3ln(x-1)	simplify\:3\ln(x+1)+3\ln(x-1)
simplify ln(a)-ln(s^2+4)	simplify\:\ln(a)-\ln(s^{2}+4)
simplify ln((-78)/(-80))	simplify\:\ln(\frac{-78}{-80})
simplify ln((3857-sqrt(8626449))/(2500))	simplify\:\ln(\frac{3857-\sqrt{8626449}}{2500})
simplify ln((3e^2)/2)	simplify\:\ln(\frac{3e^{2}}{2})
simplify 5log_{10}(x+1)+3log_{10}(x)	simplify\:5\log_{10}(x+1)+3\log_{10}(x)
simplify 2ln(3x^5y)+1/2 ln(xy^3)-ln(z)	simplify\:2\ln(3x^{5}y)+\frac{1}{2}\ln(xy^{3})-\ln(z)
simplify 4.74+log_{10}((2.1245)/(3.5255))	simplify\:4.74+\log_{10}(\frac{2.1245}{3.5255})
simplify ln(y/a)	simplify\:\ln(\frac{y}{a})
simplify ln((100000-20)/(20(50000)))	simplify\:\ln(\frac{100000-20}{20(50000)})
simplify log_{2}(39xy^2)-log_{3}(27xy)	simplify\:\log_{2}(39xy^{2})-\log_{3}(27xy)
simplify ln(((x-y))/((x^2-y^2)))	simplify\:\ln(\frac{(x-y)}{(x^{2}-y^{2})})
simplify (ln^2(10)-ln^2(2)-ln^2(5))/2	simplify\:\frac{\ln^{2}(10)-\ln^{2}(2)-\ln^{2}(5)}{2}
simplify ln(x^{1/3}y^{1/2})	simplify\:\ln(x^{\frac{1}{3}}y^{\frac{1}{2}})
simplify ln(z^4e^{2z})	simplify\:\ln(z^{4}e^{2z})
simplify 2ln(x+8)-9ln(x)	simplify\:2\ln(x+8)-9\ln(x)
simplify log_{10}((-2^9)/(\sqrt[3]{9^5*(-12^7))})	simplify\:\log_{10}(\frac{-2^{9}}{\sqrt[3]{9^{5}\cdot\:(-12^{7})}})
simplify ln(d+L)-ln(d)	simplify\:\ln(d+L)-\ln(d)
simplify (ln(3)+4-4ln(10))/(ln(10)+1)	simplify\:\frac{\ln(3)+4-4\ln(10)}{\ln(10)+1}
simplify ln(k+1)-ln(k)	simplify\:\ln(k+1)-\ln(k)
simplify-log_{10}(x)+log_{10}(0.9091x+0.001818)	simplify\:-\log_{10}(x)+\log_{10}(0.9091x+0.001818)
simplify-log_{10}(5.45*10^3)	simplify\:-\log_{10}(5.45\cdot\:10^{3})
expand log_{2}((x^3+2)\sqrt[4]{(x-5)^5})	expand\:\log_{2}((x^{3}+2)\sqrt[4]{(x-5)^{5}})

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