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Popular Algebra Problems

simplify ln((0.49)/(0.945))	simplify\:\ln(\frac{0.49}{0.945})
simplify ln(t^{xi}(1-t)^{1-xi})	simplify\:\ln(t^{xi}(1-t)^{1-xi})
expand log_{2}(y/z)	expand\:\log_{2}(\frac{y}{z})
simplify-0.04-(0.257)/2 ln((0.01)/(0.6))	simplify\:-0.04-\frac{0.257}{2}\ln(\frac{0.01}{0.6})
simplify ln(8x^2-2)-ln(x^2)	simplify\:\ln(8x^{2}-2)-\ln(x^{2})
simplify 0.77-(8.134298)/(196500)*ln(1/2)	simplify\:0.77-\frac{8.134\cdot\:298}{1\cdot\:96500}\cdot\:\ln(\frac{1}{2})
simplify 3ln\|x^2-16\|-1/4 (ln\| x/4+1\|-ln\| x/4-1\|)	simplify\:3\ln\left\|x^{2}-16\right\|-\frac{1}{4}(\ln\left\|\frac{x}{4}+1\right\|-\ln\left\|\frac{x}{4}-1\right\|)
simplify ln(-3e^{-x})	simplify\:\ln(-3e^{-x})
simplify-log_{10}(4.5*10^{-10})	simplify\:-\log_{10}(4.5\cdot\:10^{-10})
simplify log_{5}(1/500)	simplify\:\log_{5}(\frac{1}{500})
simplify ln(x)+1/2*ln(1+(y^2)/(x^2))	simplify\:\ln(x)+\frac{1}{2}\cdot\:\ln(1+\frac{y^{2}}{x^{2}})
simplify log_{5}(3)+4log_{5}(y)	simplify\:\log_{5}(3)+4\log_{5}(y)
join 2/3 log_{10}(2)	join\:\frac{2}{3}\log_{10}(2)
simplify 6ln((36.5)/6)	simplify\:6\ln(\frac{36.5}{6})
simplify-25log_{10}(3)+25log_{10}(7)	simplify\:-25\log_{10}(3)+25\log_{10}(7)
simplify ln(4.4*10^9)	simplify\:\ln(4.4\cdot\:10^{9})
simplify 10log_{10}(0.68(pi*(6.5)/(0.0161))^2)	simplify\:10\cdot\:\log_{10}(0.68\cdot\:(π\cdot\:\frac{6.5}{0.0161})^{2})
simplify-1/2 log_{15}(17)+1/2 log_{15}(3)	simplify\:-\frac{1}{2}\log_{15}(17)+\frac{1}{2}\log_{15}(3)
simplify e^{(3^2-1)}3^3+ln(5*3^3)3^2+15	simplify\:e^{(3^{2}-1)}3^{3}+\ln(5\cdot\:3^{3})3^{2}+15
simplify 1/5 ln((0.267-0.017)/(0.095-0.017))	simplify\:\frac{1}{5}\ln(\frac{0.267-0.017}{0.095-0.017})
simplify ln(le^{-lx})	simplify\:\ln(le^{-lx})
simplify (1/2+1+ln(-2)+2ln(3)+2)-(ln(-3)+2ln(2))	simplify\:(\frac{1}{2}+1+\ln(-2)+2\ln(3)+2)-(\ln(-3)+2\ln(2))
simplify ln(5/(610.04^2))	simplify\:\ln(\frac{5}{610.04^{2}})
simplify 3*ln((2/3)^3)-ln(1-2/3)	simplify\:3\cdot\:\ln((\frac{2}{3})^{3})-\ln(1-\frac{2}{3})
simplify ln(1.243)-ln(1.242)-0.275	simplify\:\ln(1.243)-\ln(1.242)-0.275
simplify 1/2 ln(x)-ln(4)	simplify\:\frac{1}{2}\ln(x)-\ln(4)
simplify ln(3*4)	simplify\:\ln(3\cdot\:4)
simplify 1/2 ln(x)-ln(3)	simplify\:\frac{1}{2}\ln(x)-\ln(3)
simplify 6log_{2}(u)-24log_{2}(v)	simplify\:6\log_{2}(u)-24\log_{2}(v)
simplify 10ln(47/7)	simplify\:10\ln(\frac{47}{7})
simplify ln((x^2\sqrt[3]{x+3})/(\sqrt[4]{z^2-4)})	simplify\:\ln(\frac{x^{2}\sqrt[3]{x+3}}{\sqrt[4]{z^{2}-4}})
simplify ln(1/3*7/13)	simplify\:\ln(\frac{1}{3}\cdot\:\frac{7}{13})
simplify ((ln(85.2)-ln(115)))/((2))	simplify\:\frac{(\ln(85.2)-\ln(115))}{(2)}
simplify ln((10^9)/((1.5)))	simplify\:\ln(\frac{10^{9}}{(1.5)})
simplify-ln(6)-ln(5)+ln(5)-2ln(2)	simplify\:-\ln(6)-\ln(5)+\ln(5)-2\ln(2)
simplify (0.0030597)/(0.5*1/60)ln((0.008)/(0.04))	simplify\:\frac{0.0030597}{0.5\cdot\:\frac{1}{60}}\ln(\frac{0.008}{0.04})
simplify 1/(0.1^2)ln(1/(0.1))	simplify\:\frac{1}{0.1^{2}}\ln(\frac{1}{0.1})
simplify ln(((x)(x^2+1)^2)/(sqrt(2x^3-1)))	simplify\:\ln(\frac{(x)(x^{2}+1)^{2}}{\sqrt{2x^{3}-1}})
expand log_{4}(((a^2b^3))/(csqrt(d)))	expand\:\log_{4}(\frac{(a^{2}\cdot\:b^{3})}{c\cdot\:\sqrt{d}})
simplify log_{10}(2)-log_{10}(3i)	simplify\:\log_{10}(2)-\log_{10}(3i)
simplify-0.6log_{2}(0.6)-0.3log_{2}(0.3)	simplify\:-0.6\cdot\:\log_{2}(0.6)-0.3\cdot\:\log_{2}(0.3)
simplify-4ln(25/13)-5ln(25/13)	simplify\:-4\cdot\:\ln(\frac{25}{13})-5\cdot\:\ln(\frac{25}{13})
simplify ln(x/((x^2+1)^{1/2)})+x	simplify\:\ln(\frac{x}{(x^{2}+1)^{\frac{1}{2}}})+x
simplify 1/2 ln(110/125)	simplify\:\frac{1}{2}\ln(\frac{110}{125})
expand log_{8}((9x^2)/(y^3))	expand\:\log_{8}(\frac{9x^{2}}{y^{3}})
simplify 1/3 ln(n^2+8)-1/3 ln(7n^2+5)	simplify\:\frac{1}{3}\ln(n^{2}+8)-\frac{1}{3}\ln(7n^{2}+5)
expand log_{2}((s^5)/(7t^2))	expand\:\log_{2}(\frac{s^{5}}{7t^{2}})
simplify ln((ex+1)/(ex-1))	simplify\:\ln(\frac{ex+1}{ex-1})
simplify log_{2}(1.5*a)	simplify\:\log_{2}(1.5\cdot\:a)
simplify 10ln((2*10^{-7})/(10^{-12)})	simplify\:10\ln(\frac{2\cdot\:10^{-7}}{10^{-12}})
simplify ln(x)+ln(6)	simplify\:\ln(x)+\ln(6)
simplify ln(3/2)+2	simplify\:\ln(\frac{3}{2})+2
simplify 8ln(5x)	simplify\:8\ln(5x)
simplify 2log_{e}(x)-4log_{e}(1/y)-3log_{e}(xy)	simplify\:2\log_{e}(x)-4\log_{e}(\frac{1}{y})-3\log_{e}(xy)
simplify 5ln(x-6)-ln(x^2-10x+24)+2ln(x-4)	simplify\:5\ln(x-6)-\ln(x^{2}-10x+24)+2\ln(x-4)
simplify ln(((17/3))/(19))	simplify\:\ln(\frac{(\frac{17}{3})}{19})
simplify 2log_{3}(x)+log_{3}(a)	simplify\:2\log_{3}(x)+\log_{3}(a)
simplify 1/6 ((ln\|1-3\|-ln\|0-3\|)-(ln\|1+3\|-ln\|0+3\|))	simplify\:\frac{1}{6}((\ln\left\|1-3\right\|-\ln\left\|0-3\right\|)-(\ln\left\|1+3\right\|-\ln\left\|0+3\right\|))
simplify-log_{10}(6.38*10^{-6})	simplify\:-\log_{10}(6.38\cdot\:10^{-6})
simplify 1/6 [5ln(x+9)-ln(x)-ln(x^2-4)]	simplify\:\frac{1}{6}[5\ln(x+9)-\ln(x)-\ln(x^{2}-4)]
simplify 1/3 (ln(5)-ln(7))	simplify\:\frac{1}{3}(\ln(5)-\ln(7))
simplify 3.74+log_{10}((40+5x)/(60-5x))	simplify\:3.74+\log_{10}(\frac{40+5x}{60-5x})
simplify ln(((1-1.5))/(0.075))-1	simplify\:\ln(\frac{(1-1.5)}{0.075})-1
simplify 3ln\|x\|-4ln\|x+1\|	simplify\:3\ln\left\|x\right\|-4\ln\left\|x+1\right\|
simplify ln((4x^{(2)}-5)(2x-5)^{(3)})	simplify\:\ln((4x^{(2)}-5)(2x-5)^{(3)})
simplify 1/(-0.03794)ln(1/76)	simplify\:\frac{1}{-0.03794}\ln(\frac{1}{76})
simplify ln(xy)-3	simplify\:\ln(xy)-3
simplify ln((16e^{-4sqrt(2)})/((x+1)^2))	simplify\:\ln(\frac{16e^{-4\sqrt{2}}}{(x+1)^{2}})
simplify (8.31(310))/(0.000995)ln(100/5)	simplify\:\frac{8.31(310)}{0.000995}\ln(\frac{100}{5})
simplify 0.423-(0.0592)/2 log_{10}((0.1)/(0.075))	simplify\:0.423-\frac{0.0592}{2}\log_{10}(\frac{0.1}{0.075})
simplify ln(x)+6ln(y)-5ln(z)	simplify\:\ln(x)+6\ln(y)-5\ln(z)
simplify ln((-x+3)/2)	simplify\:\ln(\frac{-x+3}{2})
simplify-5137.521+1239.973ln(2015/30)	simplify\:-5137.521+1239.973\ln(\frac{2015}{30})
simplify 4log_{c}(2z+1)+1/5 log_{c}(z+2)	simplify\:4\log_{c}(2z+1)+\frac{1}{5}\log_{c}(z+2)
simplify log_{1.12}(125/12)+1	simplify\:\log_{1.12}(\frac{125}{12})+1
simplify 0.3ln(3400)+0.7ln(5800)	simplify\:0.3\cdot\:\ln(3400)+0.7\cdot\:\ln(5800)
join 40e^{(ln(53)31)/(21)}	join\:40e^{\frac{\ln(53)31}{21}}
simplify ln(1/(x^2+9))	simplify\:\ln(\frac{1}{x^{2}+9})
simplify (log_{30}(2)+log_{30}(3)+log_{2}(12))^2	simplify\:(\log_{30}(2)+\log_{30}(3)+\log_{2}(12))^{2}
expand ln((x^2-25)/(x^4))	expand\:\ln(\frac{x^{2}-25}{x^{4}})
simplify 1/(0.039)ln((42.5)/(42.46769))	simplify\:\frac{1}{0.039}\ln(\frac{42.5}{42.46769})
simplify 10ln(24000/14000)	simplify\:10\ln(\frac{24000}{14000})
simplify 4log_{10}(x-3)-2log_{10}(1-2x)	simplify\:4\log_{10}(x-3)-2\log_{10}(1-2x)
simplify ln(4x^2-5)-ln(x^2)	simplify\:\ln(4x^{2}-5)-\ln(x^{2})
simplify ln(45/75)	simplify\:\ln(\frac{45}{75})
simplify 1/i (ln(2.414-0.011i)-ln(2.054-0.0423i))	simplify\:\frac{1}{i}(\ln(2.414-0.011i)-\ln(2.054-0.0423i))
simplify log_{10}(x)-1/2 log_{10}(x^2+8)	simplify\:\log_{10}(x)-\frac{1}{2}\log_{10}(x^{2}+8)
simplify ln(5/15)	simplify\:\ln(\frac{5}{15})
simplify ln((0.0141300000000…)/(v^{1.8)})	simplify\:\ln(\frac{0.0141300000000…}{v^{1.8}})
simplify ln(e^{3x}(1-2x)^{-2})	simplify\:\ln(e^{3x}(1-2x)^{-2})
simplify ln(x)+v+ln(v-1)	simplify\:\ln(x)+v+\ln(v-1)
simplify 3log_{10}(X)+2log_{z}(5)-log_{10}(y)	simplify\:3\log_{10}(X)+2\log_{z}(5)-\log_{10}(y)
expand 8log_{8}(7)-2log_{8}(6)	expand\:8\log_{8}(7)-2\log_{8}(6)
expand log_{a}((7xy^3)/(z^4))	expand\:\log_{a}(\frac{7xy^{3}}{z^{4}})
simplify ln((x^2)/((2x-11)^2))	simplify\:\ln(\frac{x^{2}}{(2x-11)^{2}})
simplify ln((821.85)/(1643))*10	simplify\:\ln(\frac{821.85}{1643})\cdot\:10
simplify 3log_{3}(x)-7log_{3}(y)	simplify\:3\log_{3}(x)-7\log_{3}(y)
simplify 1.75ln\|y+2\|+0.25ln\|y-3\|+2ln\|y\|	simplify\:1.75\ln\left\|y+2\right\|+0.25\ln\left\|y-3\right\|+2\ln\left\|y\right\|
simplify 4-1/2 ln(2)-1+1/2 ln(1/2)	simplify\:4-\frac{1}{2}\ln(2)-1+\frac{1}{2}\ln(\frac{1}{2})
simplify log_{8}(((x-4)(x-1)(3))/(5x))	simplify\:\log_{8}(\frac{(x-4)(x-1)(3)}{5x})

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