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Popular Algebra Problems

simplify 4log_{10}(x)+8log_{10}(y)	simplify\:4\log_{10}(x)+8\log_{10}(y)
simplify 7+log_{10}((0.35)/(1.7))	simplify\:7+\log_{10}(\frac{0.35}{1.7})
simplify-log_{10}(1.8*10^{-13})	simplify\:-\log_{10}(1.8\cdot\:10^{-13})
simplify ln(p)+2ln(q)+6ln(r)	simplify\:\ln(p)+2\ln(q)+6\ln(r)
simplify ln(15*e^{t/t})	simplify\:\ln(15\cdot\:e^{\frac{t}{t}})
simplify 4.75+log_{10}((0.15)/(0.7))	simplify\:4.75+\log_{10}(\frac{0.15}{0.7})
expand log_{2}((9x^3k)/(5y^4z))	expand\:\log_{2}(\frac{9x^{3}k}{5y^{4}z})
simplify-1/4 ln\|x+3\|+1/4 ln\|x+7\|	simplify\:-\frac{1}{4}\ln\left\|x+3\right\|+\frac{1}{4}\ln\left\|x+7\right\|
simplify x(\partial)/(\partial x)(y)+ln(xy)+x	simplify\:x\frac{\partial\:}{\partial\:x}(y)+\ln(xy)+x
simplify ln((95*10^{12}(2.5))/(10^{-3)})	simplify\:\ln(\frac{95\cdot\:10^{12}(2.5)}{10^{-3}})
simplify ln(2)-1/2 ln(3)	simplify\:\ln(2)-\frac{1}{2}\ln(3)
simplify (1/2)(3ln(x+3)+ln(x)-ln(x^2-1))	simplify\:(\frac{1}{2})(3\ln(x+3)+\ln(x)-\ln(x^{2}-1))
simplify ln((1643.85)/(547.85))*10	simplify\:\ln(\frac{1643.85}{547.85})\cdot\:10
simplify 1/2 ln((u-a)/(u+a))	simplify\:\frac{1}{2}\ln(\frac{u-a}{u+a})
simplify ln((3x)/7)	simplify\:\ln(\frac{3x}{7})
simplify ln(2(3)^x)	simplify\:\ln(2(3)^{x})
simplify ln(1/(\frac{xcd){dx}})	simplify\:\ln(\frac{1}{\frac{xcd}{dx}})
simplify ln((\sqrt[5]{xy})/(ez))	simplify\:\ln(\frac{\sqrt[5]{xy}}{ez})
simplify 3.74+log_{10}(1/(1.5))	simplify\:3.74+\log_{10}(\frac{1}{1.5})
simplify-6ln\|x-6\|-7ln\|x+2\|-3ln\|x+7\|+C	simplify\:-6\ln\left\|x-6\right\|-7\ln\left\|x+2\right\|-3\ln\left\|x+7\right\|+C
simplify-1/4 (ln\| x/2+1\|-ln\| x/2-1\|)	simplify\:-\frac{1}{4}(\ln\left\|\frac{x}{2}+1\right\|-\ln\left\|\frac{x}{2}-1\right\|)
expand log_{x}(2y)	expand\:\log_{x}(2y)
simplify 100/9 ln((3.8)/4)	simplify\:\frac{100}{9}\ln(\frac{3.8}{4})
expand log_{6}(((8*7)/(3^5))^4)	expand\:\log_{6}((\frac{8\cdot\:7}{3^{5}})^{4})
simplify ln\|u^2-3u+1\|+2ln\|y\|	simplify\:\ln\left\|u^{2}-3u+1\right\|+2\ln\left\|y\right\|
simplify (2+2ln(2)+1/2+ln(3))-(1-2ln(1)+1+ln(2))	simplify\:(2+2\ln(2)+\frac{1}{2}+\ln(3))-(1-2\ln(1)+1+\ln(2))
expand log_{2}((4x^3)/(x^2-3x-18))	expand\:\log_{2}(\frac{4x^{3}}{x^{2}-3x-18})
simplify ln(6)+ln(sqrt((e^{(2.48199)))/3})	simplify\:\ln(6)+\ln(\sqrt{\frac{e^{(2.48199)}}{3}})
simplify ln(((y-9)^4x^2)/(\sqrt[4]{y)})	simplify\:\ln(\frac{(y-9)^{4}x^{2}}{\sqrt[4]{y}})
simplify (ln(100)-ln(95))*100	simplify\:(\ln(100)-\ln(95))\cdot\:100
simplify log_{5}(x-2)+log_{5}(x-6)	simplify\:\log_{5}(x-2)+\log_{5}(x-6)
simplify ln(y/(2b^2))	simplify\:\ln(\frac{y}{2b^{2}})
simplify 2[3ln(x)-ln(x+6)-ln(x-6)]	simplify\:2[3\ln(x)-\ln(x+6)-\ln(x-6)]
expand log_{10}(t/(11))	expand\:\log_{10}(\frac{t}{11})
simplify ln(x/(10))	simplify\:\ln(\frac{x}{10})
simplify ln((tan(θ)+sec(θ))/(tan(θ/2)))	simplify\:\ln(\frac{\tan(θ)+\sec(θ)}{\tan(\frac{θ}{2})})
simplify ln(1/(x-1))	simplify\:\ln(\frac{1}{x-1})
expand log_{4}((6x^2)/(5y^3))	expand\:\log_{4}(\frac{6x^{2}}{5y^{3}})
simplify ln(x)-2ln(c)	simplify\:\ln(x)-2\ln(c)
simplify ln(cos(4x)(e^{-x}(x+5))/x)	simplify\:\ln(\cos(4x)\frac{e^{-x}(x+5)}{x})
simplify ln(e^{kx}sin(2x))	simplify\:\ln(e^{kx}\sin(2x))
simplify 86.25+10log_{10}(420/8)	simplify\:86.25+10\log_{10}(\frac{420}{8})
simplify ln(z^6(z+7)6(z-7)3)	simplify\:\ln(z^{6}(z+7)6(z-7)3)
simplify ln((6.09)/(9.42*10^{-3)})	simplify\:\ln(\frac{6.09}{9.42\cdot\:10^{-3}})
simplify-log_{10}(1.34*10^{-11})	simplify\:-\log_{10}(1.34\cdot\:10^{-11})
simplify 0.01log_{2}(0.01)+0.99log_{2}(0.99)	simplify\:0.01\cdot\:\log_{2}(0.01)+0.99\cdot\:\log_{2}(0.99)
simplify ln(x^6(x+9)^7(x^2+8)^2)	simplify\:\ln(x^{6}(x+9)^{7}(x^{2}+8)^{2})
simplify 96-10log_{10}((43.14*4^2)/2)	simplify\:96-10\cdot\:\log_{10}(\frac{4\cdot\:3.14\cdot\:4^{2}}{2})
simplify ln((-0.34)^{23.2505}(-0.86)^{7.84805})	simplify\:\ln((-0.34)^{23.2505}(-0.86)^{7.84805})
simplify-log_{10}(1.48*10^{-3})	simplify\:-\log_{10}(1.48\cdot\:10^{-3})
simplify 3ln\|x-1\|-1/3 ln\|3x-6\|+c	simplify\:3\ln\left\|x-1\right\|-\frac{1}{3}\ln\left\|3x-6\right\|+c
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(x)-ln(3x)	simplify\:\ln(x)-\ln(3x)
simplify ln(1/(1-0.97))	simplify\:\ln(\frac{1}{1-0.97})
simplify ln((e^8-1)/(e^2-1))-3	simplify\:\ln(\frac{e^{8}-1}{e^{2}-1})-3
simplify 4ln(2x)	simplify\:4\ln(2x)
simplify ln(ae^{a(-5)}(-5))	simplify\:\ln(ae^{a(-5)}(-5))
limit as x approaches infinity of ln(1/x)	\lim\:_{x\to\:\infty\:}(\ln(\frac{1}{x}))
simplify ln(y^{sin(x)}*y)	simplify\:\ln(y^{\sin(x)}\cdot\:y)
simplify-(ln(1-x)-ln(2))/(ln(2))	simplify\:-\frac{\ln(1-x)-\ln(2)}{\ln(2)}
expand (1/2)log_{b}(a)-5log_{b}(c)	expand\:(\frac{1}{2})\log_{b}(a)-5\log_{b}(c)
simplify ln((100+0.11)/(0.11))	simplify\:\ln(\frac{100+0.11}{0.11})
simplify ln((0.5)/(1.6))	simplify\:\ln(\frac{0.5}{1.6})
simplify 1/3 ln(49/76)	simplify\:\frac{1}{3}\ln(\frac{49}{76})
simplify-log_{10}(2.65*10^{-8})	simplify\:-\log_{10}(2.65\cdot\:10^{-8})
simplify 1.76776ln(1/((2sqrt(2))))+0.61871	simplify\:1.76776\ln(\frac{1}{(2\sqrt{2})})+0.61871
simplify ((0+5)/4)^2*ln((0+5)/4)	simplify\:(\frac{0+5}{4})^{2}\cdot\:\ln(\frac{0+5}{4})
simplify 5log_{b}(t)-log_{b}(s)	simplify\:5\log_{b}(t)-\log_{b}(s)
simplify ln(5x^2y^3)	simplify\:\ln(5x^{2}y^{3})
simplify ln(460/760)	simplify\:\ln(\frac{460}{760})
simplify 3log_{6}(a)+6log_{6}(b)	simplify\:3\log_{6}(a)+6\log_{6}(b)
simplify 6log_{6}(z)-1/4 log_{6}(y)+7log_{6}(x)	simplify\:6\log_{6}(z)-\frac{1}{4}\log_{6}(y)+7\log_{6}(x)
simplify 1/3 (ln(9)-ln(2))	simplify\:\frac{1}{3}(\ln(9)-\ln(2))
factor 2xln(3x)-4x-4ln(3x)+8	factor\:2x\ln(3x)-4x-4\ln(3x)+8
simplify ln(x/(1e^6))	simplify\:\ln(\frac{x}{1e^{6}})
simplify-160ln(x)-160ln(y)	simplify\:-160\ln(x)-160\ln(y)
simplify 23x+ln(23x)	simplify\:23x+\ln(23x)
simplify ln((31650-20000)/(120000-0))	simplify\:\ln(\frac{31650-20000}{120000-0})
simplify ln(r^3s^8\sqrt[3]{r^9s^2})	simplify\:\ln(r^{3}s^{8}\sqrt[3]{r^{9}s^{2}})
simplify-ln((-t)/(t+1))	simplify\:-\ln(\frac{-t}{t+1})
simplify-20.96+1.045ln(e)+3.33ln(g)-0.165ln(g^2)	simplify\:-20.96+1.045\ln(e)+3.33\ln(g)-0.165\ln(g^{2})
join (ln(90))/(2ln(2))-1	join\:\frac{\ln(90)}{2\ln(2)}-1
simplify ln(3t)	simplify\:\ln(3t)
simplify 4x+5ln(x)-ln(2xy)	simplify\:4x+5\ln(x)-\ln(2xy)
simplify ln(u)+3ln(z+1)-2ln(z+2)	simplify\:\ln(u)+3\ln(z+1)-2\ln(z+2)
simplify (2ln(3)-ln(4))-(2ln(1)-ln(2))	simplify\:(2\ln(3)-\ln(4))-(2\ln(1)-\ln(2))
simplify 10log_{10}((510^{-6})/(1*10^{-12)})	simplify\:10\cdot\:\log_{10}(\frac{5\cdot\:10^{-6}}{1\cdot\:10^{-12}})
simplify 100+20*ln((65)/(65-23))	simplify\:100+20\cdot\:\ln(\frac{65}{65-23})
simplify ln(4/9)*(20)/(ln(4/11))	simplify\:\ln(\frac{4}{9})\cdot\:\frac{20}{\ln(\frac{4}{11})}
expand ln((-2.772)^{19.764})	expand\:\ln((-2.772)^{19.764})
simplify 1/2 ln\|2(12)+1\|+2ln\|12-1\|	simplify\:\frac{1}{2}\ln\left\|2(12)+1\right\|+2\ln\left\|12-1\right\|
simplify ln(xsin(x)dx)	simplify\:\ln(x\sin(x)dx)
simplify 7ln(6/7)-ln(6)	simplify\:7\ln(\frac{6}{7})-\ln(6)
simplify 200ln((400)/(500-300))	simplify\:200\ln(\frac{400}{500-300})
simplify ln((x^6sqrt(x^2+2))/((x+2)^2))	simplify\:\ln(\frac{x^{6}\sqrt{x^{2}+2}}{(x+2)^{2}})
expand 6ln(x+8)-9ln(x)	expand\:6\ln(x+8)-9\ln(x)
simplify 2ln(x)+ln(y)-0.5ln(z)	simplify\:2\ln(x)+\ln(y)-0.5\ln(z)
simplify ln(((x+4)^7)/(x^7sqrt(x+5)))	simplify\:\ln(\frac{(x+4)^{7}}{x^{7}\sqrt{x+5}})
simplify 30log_{6}(3)+30log_{6}(2)-6log_{6}(11)	simplify\:30\log_{6}(3)+30\log_{6}(2)-6\log_{6}(11)
simplify log_{b}(xyz)-2log_{b}(w)	simplify\:\log_{b}(xyz)-2\log_{b}(w)

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