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Popular Algebra Problems

simplify ln(xy^x)	simplify\:\ln(xy^{x})
expand log_{b}((25)/(sqrt(x+7)))	expand\:\log_{b}(\frac{25}{\sqrt{x+7}})
simplify ln((4x^2+3)(2x-1))	simplify\:\ln((4x^{2}+3)(2x-1))
simplify ln(1)-1/8 (ln(17/4+2)+ln(17/4))	simplify\:\ln(1)-\frac{1}{8}(\ln(\frac{17}{4}+2)+\ln(\frac{17}{4}))
simplify ln(x+6)+ln(x+1)	simplify\:\ln(x+6)+\ln(x+1)
simplify ln(1+3x)-ln(1-x)	simplify\:\ln(1+3x)-\ln(1-x)
simplify-2ln\|x\|+ln\|x+1\|+ln\|x-1\|	simplify\:-2\ln\left\|x\right\|+\ln\left\|x+1\right\|+\ln\left\|x-1\right\|
simplify 22(-1/4 ln\|z+2\|+1/4 ln\|z-2\|)	simplify\:22(-\frac{1}{4}\ln\left\|z+2\right\|+\frac{1}{4}\ln\left\|z-2\right\|)
simplify 19/13+4/5 ln(5/4)+3/8 ln(2)	simplify\:\frac{19}{13}+\frac{4}{5}\ln(\frac{5}{4})+\frac{3}{8}\ln(2)
simplify-log_{10}(2.2*10^{-8})	simplify\:-\log_{10}(2.2\cdot\:10^{-8})
simplify ln(4e^{17})	simplify\:\ln(4e^{17})
simplify ln((6xsqrt(1+4x))/((x-3)^9))	simplify\:\ln(\frac{6x\sqrt{1+4x}}{(x-3)^{9}})
simplify ln(0.5c^{0.5}z^{0.5})	simplify\:\ln(0.5\cdot\:c^{0.5}\cdot\:z^{0.5})
simplify (-5ln(5)-4ln(2))/(7ln(5)-ln(2))	simplify\:\frac{-5\ln(5)-4\ln(2)}{7\ln(5)-\ln(2)}
simplify 38ln(400/600)-8.314ln(1/10)	simplify\:38\cdot\:\ln(\frac{400}{600})-8.314\cdot\:\ln(\frac{1}{10})
simplify ln(1/5)-sqrt(e^{(-5^3))}	simplify\:\ln(\frac{1}{5})-\sqrt{e^{(-5^{3})}}
simplify 8*ln(8/(9.1161))	simplify\:8\cdot\:\ln(\frac{8}{9.1161})
simplify log_{10}(1/(2.5*10^{-9)})	simplify\:\log_{10}(\frac{1}{2.5\cdot\:10^{-9}})
simplify-2ln((3e^{-n^3+nx})/x)	simplify\:-2\ln(\frac{3e^{-n^{3}+nx}}{x})
simplify-log_{10}(1.2*10^{-12})	simplify\:-\log_{10}(1.2\cdot\:10^{-12})
expand log_{4}(((w^4u^4)/v)^2)	expand\:\log_{4}((\frac{w^{4}u^{4}}{v})^{2})
simplify ln(395/373)	simplify\:\ln(\frac{395}{373})
join (4ln(2))/(ln(10))+2	join\:\frac{4\ln(2)}{\ln(10)}+2
simplify ln(107109)-ln(109)	simplify\:\ln(107109)-\ln(109)
simplify ln(100/99119)	simplify\:\ln(\frac{100}{99119})
simplify 20e^{3(3)}-ln(3+9)+20e^{3(0)}-ln(0+9)	simplify\:20e^{3(3)}-\ln(3+9)+20e^{3(0)}-\ln(0+9)
simplify ln(x/(y^3))-3ln(1/y)+1/2ln(1/(x^4y^2))	simplify\:\ln(\frac{x}{y^{3}})-3\cdot\:\ln(\frac{1}{y})+\frac{1}{2}\cdot\:\ln(\frac{1}{x^{4}y^{2}})
simplify 5-log_{10}(4.3*10^{-5})	simplify\:5-\log_{10}(4.3\cdot\:10^{-5})
simplify 6.1+log_{10}((24)/((0.03*20)))	simplify\:6.1+\log_{10}(\frac{24}{(0.03\cdot\:20)})
simplify log_{d}(sqrt(a))+9log_{d}(b)-3log_{d}(c)	simplify\:\log_{d}(\sqrt{a})+9\log_{d}(b)-3\log_{d}(c)
simplify ln(*4x)	simplify\:\ln(\cdot\:4x)
simplify-2ln(ln(x))-ln(x)	simplify\:-2\ln(\ln(x))-\ln(x)
simplify ln(2/3)+ln(3)	simplify\:\ln(\frac{2}{3})+\ln(3)
simplify ln(\sqrt[3]{8x^2y-xy^4+8})-ln(2)	simplify\:\ln(\sqrt[3]{8x^{2}y-xy^{4}+8})-\ln(2)
simplify ln(11)-ln(50)-(12pi)/5	simplify\:\ln(11)-\ln(50)-\frac{12π}{5}
simplify ln((6y-5)/y)	simplify\:\ln(\frac{6y-5}{y})
simplify-5137.521+1239.973ln(1938/30)	simplify\:-5137.521+1239.973\ln(\frac{1938}{30})
simplify ln((2x^2+6x+6)/(x^{6/5)cos(x)})	simplify\:\ln(\frac{2x^{2}+6x+6}{x^{\frac{6}{5}}\cos(x)})
simplify 4ln(2/3)	simplify\:4\ln(\frac{2}{3})
simplify 1/3 ln(2/5)	simplify\:\frac{1}{3}\ln(\frac{2}{5})
simplify 3log_{0.4}(2)-3log_{0.4}(5)	simplify\:3\log_{0.4}(2)-3\log_{0.4}(5)
simplify 3+3ln(2/3)	simplify\:3+3\ln(\frac{2}{3})
simplify-ln(x)+ln(((x-3)^2)/(x+1))	simplify\:-\ln(x)+\ln(\frac{(x-3)^{2}}{x+1})
simplify ln(u)-1/2 ln\|1+u^2\|+1/(2(1+u^2))+C	simplify\:\ln(u)-\frac{1}{2}\ln\left\|1+u^{2}\right\|+\frac{1}{2(1+u^{2})}+C
simplify ln((x^8sqrt(x^2+2))/((x+2)^3))	simplify\:\ln(\frac{x^{8}\sqrt{x^{2}+2}}{(x+2)^{3}})
expand log_{4}(3sqrt(2*5))	expand\:\log_{4}(3\sqrt{2\cdot\:5})
simplify (1/3 ln\|e^x+1\|-1/3 ln\|e^x-2\|)*e^{2x}	simplify\:(\frac{1}{3}\ln\left\|e^{x}+1\right\|-\frac{1}{3}\ln\left\|e^{x}-2\right\|)\cdot\:e^{2x}
changebase log_{4}(32)	changebase\:\log_{4}(32)
simplify 1/2 ln(11/5)	simplify\:\frac{1}{2}\ln(\frac{11}{5})
simplify ln(-6sqrt((e^{(x)))/3})	simplify\:\ln(-6\sqrt{\frac{e^{(x)}}{3}})
simplify ln(1^2(1+2)^{9/5}(1-3)^{1/5})	simplify\:\ln(1^{2}(1+2)^{\frac{9}{5}}(1-3)^{\frac{1}{5}})
simplify 3ln(4)-1/2 ln(x^2+3)	simplify\:3\ln(4)-\frac{1}{2}\ln(x^{2}+3)
simplify 3/5 log_{4/25}(5)-3/5 log_{4/25}(2)	simplify\:\frac{3}{5}\log_{\frac{4}{25}}(5)-\frac{3}{5}\log_{\frac{4}{25}}(2)
simplify 3/4*log_{2}(((3/4))/((1/20)))	simplify\:\frac{3}{4}\cdot\:\log_{2}(\frac{(\frac{3}{4})}{(\frac{1}{20})})
simplify 8/piln(6)+2/piln(7/6)	simplify\:\frac{8}{π}\cdot\:\ln(6)+\frac{2}{π}\cdot\:\ln(\frac{7}{6})
simplify ln(((x-3))/((x+3)))	simplify\:\ln(\frac{(x-3)}{(x+3)})
simplify-1ln(-4)-(-1)ln(-5)	simplify\:-1\ln(-4)-(-1)\ln(-5)
simplify 2ln(3(4)-2)-ln(2)	simplify\:2\ln(3(4)-2)-\ln(2)
simplify log_{2}(x-4)+3log_{2}(x)	simplify\:\log_{2}(x-4)+3\log_{2}(x)
simplify-log_{10}(2.98*10^{-5})	simplify\:-\log_{10}(2.98\cdot\:10^{-5})
simplify 9log_{b}(x)+4log_{b}(z)	simplify\:9\log_{b}(x)+4\log_{b}(z)
simplify ln((1005+5)/(1000))	simplify\:\ln(\frac{1005+5}{1000})
simplify ln(x/1)	simplify\:\ln(\frac{x}{1})
simplify log_{11}(-6n)	simplify\:\log_{11}(-6n)
simplify ln(2*2^{1/5})	simplify\:\ln(2\cdot\:2^{\frac{1}{5}})
simplify ln(2x^2+2x)-ln(x)	simplify\:\ln(2x^{2}+2x)-\ln(x)
simplify ln(7\sqrt[3]{3*2})	simplify\:\ln(7\sqrt[3]{3\cdot\:2})
join (38ln(9/10))/(ln(2))	join\:\frac{38\ln(\frac{9}{10})}{\ln(2)}
simplify ln(x*e^{-x})	simplify\:\ln(x\cdot\:e^{-x})
simplify ln(x/(y^3))+ln(y^2)	simplify\:\ln(\frac{x}{y^{3}})+\ln(y^{2})
simplify 2ln\|x-1\|-ln\|x+2\|+C	simplify\:2\ln\left\|x-1\right\|-\ln\left\|x+2\right\|+C
simplify-log_{10}(2.1*10^{-53})	simplify\:-\log_{10}(2.1\cdot\:10^{-53})
simplify ln(1.6296*pi)	simplify\:\ln(1.6296\cdot\:π)
simplify log_{e}(6x^2-2)-log_{e}(x^2)	simplify\:\log_{e}(6x^{2}-2)-\log_{e}(x^{2})
simplify 1/3 ln(2x+1)+1/2 [ln(x-4)-ln(x^2+5)]	simplify\:\frac{1}{3}\ln(2x+1)+\frac{1}{2}[\ln(x-4)-\ln(x^{2}+5)]
simplify-log_{10}(5(10^{-2}))	simplify\:-\log_{10}(5(10^{-2}))
simplify ln(1+n^2)-ln(n)	simplify\:\ln(1+n^{2})-\ln(n)
simplify ln((1643.85)/(821.85))*8	simplify\:\ln(\frac{1643.85}{821.85})\cdot\:8
simplify ln\|-(mg)/b+a\|-ln((\|m\|\|g\|)/(\|b\|))	simplify\:\ln\left\|-\frac{mg}{b}+a\right\|-\ln(\frac{\left\|m\right\|\left\|g\right\|}{\left\|b\right\|})
simplify-log_{10}(2.92*10^{-14})	simplify\:-\log_{10}(2.92\cdot\:10^{-14})
simplify 3/2 ln\|(-0.5-1)\|-3/2 ln\|(-1-1)\|	simplify\:\frac{3}{2}\ln\left\|(-0.5-1)\right\|-\frac{3}{2}\ln\left\|(-1-1)\right\|
simplify ln(x^3*(x+2))	simplify\:\ln(x^{3}\cdot\:(x+2))
join (2cos(2ln(x)))/(x^2)+x^3	join\:\frac{2\cos(2\ln(x))}{x^{2}}+x^{3}
simplify 2ln(a)-1/2 ln(b)	simplify\:2\ln(a)-\frac{1}{2}\ln(b)
simplify ln\|x\|+ln\|sin(x)\|	simplify\:\ln\left\|x\right\|+\ln\left\|\sin(x)\right\|
simplify log_{10}(6.5x10^7)-log_{10}(1000)	simplify\:\log_{10}(6.5x10^{7})-\log_{10}(1000)
simplify 1/2 ln((e+sqrt(e^2-1))/(e-sqrt(e^2-1)))	simplify\:\frac{1}{2}\ln(\frac{e+\sqrt{e^{2}-1}}{e-\sqrt{e^{2}-1}})
simplify 6ln(3)-6ln(2)	simplify\:6\cdot\:\ln(3)-6\cdot\:\ln(2)
simplify (10000)/(200pi^2)(ln((400)/(0.4))+ln(8))	simplify\:\frac{10000}{200π^{2}}(\ln(\frac{400}{0.4})+\ln(8))
simplify (e^{7/4})/4+ln((e^{7/4})/2)	simplify\:\frac{e^{\frac{7}{4}}}{4}+\ln(\frac{e^{\frac{7}{4}}}{2})
simplify 1/2 ln(2*9.5+1)+2ln(9.5-1)	simplify\:\frac{1}{2}\ln(2\cdot\:9.5+1)+2\ln(9.5-1)
simplify 1/(0.0105)ln(8000/5000)	simplify\:\frac{1}{0.0105}\ln(\frac{8000}{5000})
expand log_{7}(a^2b^3c)	expand\:\log_{7}(a^{2}b^{3}c)
simplify 0.026ln((0.4114)/(810^{-16)})	simplify\:0.026\cdot\:\ln(\frac{0.4114}{8\cdot\:10^{-16}})
simplify ln(2)-2ln(2+1)	simplify\:\ln(2)-2\ln(2+1)
simplify ln(n+1)+ln(n-1)	simplify\:\ln(n+1)+\ln(n-1)
simplify ln(θ^n*x^{θ-1})	simplify\:\ln(θ^{n}\cdot\:x^{θ-1})
simplify 3.74+log_{10}((2.4)/(0.1))	simplify\:3.74+\log_{10}(\frac{2.4}{0.1})
simplify (ln\| y/x+4\|-6ln\| y/x-1\|)/5-ln\|x\|	simplify\:\frac{\ln\left\|\frac{y}{x}+4\right\|-6\ln\left\|\frac{y}{x}-1\right\|}{5}-\ln\left\|x\right\|
expand log_{10}(((x^3+y)^3)/(x^3))	expand\:\log_{10}(\frac{(x^{3}+y)^{3}}{x^{3}})

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