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Problemas populares de Álgebra
simplificar 1/3 ln|f^7(x)|+29/21 ln|f(x)+15|+C
simplify\:\frac{1}{3}\ln\left|f^{7}(x)\right|+\frac{29}{21}\ln\left|f(x)+15\right|+C
simplificar 0.6*log_{2}(0.6)+0.4*log_{2}(0.4)
simplify\:0.6\cdot\:\log_{2}(0.6)+0.4\cdot\:\log_{2}(0.4)
simplificar ln(3)+5ln(x)-ln(y)
simplify\:\ln(3)+5\ln(x)-\ln(y)
simplificar ln((sqrt(x^2+1)-x)/(sqrt(x^2-1)+x))
simplify\:\ln(\frac{\sqrt{x^{2}+1}-x}{\sqrt{x^{2}-1}+x})
simplificar 0.5(-3/5 log_{2}(3/5)-2/5 log_{2}(2/5))
simplify\:0.5(-\frac{3}{5}\log_{2}(\frac{3}{5})-\frac{2}{5}\log_{2}(\frac{2}{5}))
simplificar (((ln(x)-ln(100)))/(sqrt(2*ln(2))))^2
simplify\:(\frac{(\ln(x)-\ln(100))}{\sqrt{2\cdot\:\ln(2)}})^{2}
simplificar ln(6)+ln(18)-ln(3)+3ln(6)
simplify\:\ln(6)+\ln(18)-\ln(3)+3\ln(6)
simplificar ln(100/5)
simplify\:\ln(\frac{100}{5})
simplificar 100+20*ln((65)/(65-30))
simplify\:100+20\cdot\:\ln(\frac{65}{65-30})
simplificar 20e^{3(3)}-ln|3-9|+2ln(3)+50
simplify\:20e^{3(3)}-\ln\left|3-9\right|+2\ln(3)+50
simplificar 1/4 log_{10}(x)-1/4 log_{10}(y)
simplify\:\frac{1}{4}\log_{10}(x)-\frac{1}{4}\log_{10}(y)
simplificar log_{10}(3x-1)+log_{10}(x-1)
simplify\:\log_{10}(3x-1)+\log_{10}(x-1)
desarrollar log_{6}((((xy)^6)/z)^4)
expand\:\log_{6}((\frac{(xy)^{6}}{z})^{4})
simplificar ln((e^{4x})/(x^2+1))
simplify\:\ln(\frac{e^{4x}}{x^{2}+1})
simplificar ln(6.56*10^{-4})
simplify\:\ln(6.56\cdot\:10^{-4})
simplificar ln(6)+ln(sqrt((e^{(2.29928)))/3})
simplify\:\ln(6)+\ln(\sqrt{\frac{e^{(2.29928)}}{3}})
desarrollar log_{2}(8^7)
expand\:\log_{2}(8^{7})
simplificar-1/(0.71)ln((0.23)/(0.72))
simplify\:-\frac{1}{0.71}\ln(\frac{0.23}{0.72})
simplificar 28log_{10}(x)+log_{10}(y)-27log_{10}(z)
simplify\:28\log_{10}(x)+\log_{10}(y)-27\log_{10}(z)
simplificar 10log_{10}((320*10^{-7})/(10^{-12)})
simplify\:10\log_{10}(\frac{320\cdot\:10^{-7}}{10^{-12}})
simplificar 2ln(3)+ln(3^2+2)
simplify\:2\ln(3)+\ln(3^{2}+2)
simplificar log_{a}(5sqrt(a)xa^4x^3sqrt(a))
simplify\:\log_{a}(5\sqrt{a}xa^{4}x^{3}\sqrt{a})
simplificar ln((8^x(3x^3+6)^2)^8(9x^4-1)^2)
simplify\:\ln((8^{x}(3x^{3}+6)^{2})^{8}(9x^{4}-1)^{2})
simplificar 10ln((50)/(10^{-12)})
simplify\:10\ln(\frac{50}{10^{-12}})
simplificar 5.23+log_{10}((1.76*10^{-3})/(0.00391))
simplify\:5.23+\log_{10}(\frac{1.76\cdot\:10^{-3}}{0.00391})
simplificar 7ln(9x)
simplify\:7\ln(9x)
desarrollar log_{4}((3x)/y)
expand\:\log_{4}(\frac{3x}{y})
simplificar ln(2)+ln(x-2)
simplify\:\ln(2)+\ln(x-2)
simplificar 3log_{2}(x)-4log_{2}(y)+2log_{2}(z)
simplify\:3\log_{2}(x)-4\log_{2}(y)+2\log_{2}(z)
simplificar ln((x/2)/x)
simplify\:\ln(\frac{\frac{x}{2}}{x})
simplificar ln(((1)(1)+1)/((1)))
simplify\:\ln(\frac{(1)(1)+1}{(1)})
simplificar ln(150/100)
simplify\:\ln(\frac{150}{100})
simplificar log_{e}(x^{10}sqrt(7-x))
simplify\:\log_{e}(x^{10}\sqrt{7-x})
simplificar ln(x+3)+ln(1)-ln(2)
simplify\:\ln(x+3)+\ln(1)-\ln(2)
simplificar ln(1/(0.5))-sqrt(e^{-0.5^3)}
simplify\:\ln(\frac{1}{0.5})-\sqrt{e^{-0.5^{3}}}
desarrollar log_{e}((xsqrt(x+1))/(2e^4))
expand\:\log_{e}(\frac{x\sqrt{x+1}}{2e^{4}})
simplificar ln((1+2x)(1+3x))
simplify\:\ln((1+2x)(1+3x))
simplificar log_{10}(x)+2log_{10}(x+1)
simplify\:\log_{10}(x)+2\log_{10}(x+1)
simplificar ln(119/149)
simplify\:\ln(\frac{119}{149})
simplificar ln(6/(2*pi*0.2))
simplify\:\ln(\frac{6}{2\cdot\:π\cdot\:0.2})
simplificar (log_{10}(asqrt(c))+2log_{10}(b))/4
simplify\:\frac{\log_{10}(a\sqrt{c})+2\log_{10}(b)}{4}
simplificar ln((e^{2y}sqrt(xy))/(x^3))
simplify\:\ln(\frac{e^{2y}\sqrt{xy}}{x^{3}})
simplificar 1/2 ln((y-3)/(x+2))
simplify\:\frac{1}{2}\ln(\frac{y-3}{x+2})
simplificar 4ln(2)-4ln(2x)
simplify\:4\ln(2)-4\ln(2x)
simplificar ln(3)+ln(2)ln(6)
simplify\:\ln(3)+\ln(2)\ln(6)
simplificar 4ln(x)+2ln(y)-10
simplify\:4\ln(x)+2\ln(y)-10
simplificar 20*log_{10}((10)/(2*10^{-5)})
simplify\:20\cdot\:\log_{10}(\frac{10}{2\cdot\:10^{-5}})
simplificar ln(2e^{-3x^2})
simplify\:\ln(2e^{-3x^{2}})
simplificar 2ln((82.6)/(51.2))
simplify\:2\ln(\frac{82.6}{51.2})
simplificar-ln(1-e^λ)-ln(y!)
simplify\:-\ln(1-e^{λ})-\ln(y!)
simplificar ln(a^n*e^{-a*(x-b)})
simplify\:\ln(a^{n}\cdot\:e^{-a\cdot\:(x-b)})
simplificar log_{7}(x)+1/2 log_{7}(y^6)-2log_{7}(z)
simplify\:\log_{7}(x)+\frac{1}{2}\log_{7}(y^{6})-2\log_{7}(z)
simplificar 30*ln(3/(0.2))
simplify\:30\cdot\:\ln(\frac{3}{0.2})
desarrollar log_{10}((sqrt(z^3))/(x^2y^5))
expand\:\log_{10}(\frac{\sqrt{z^{3}}}{x^{2}y^{5}})
simplificar 0.0259*ln(((4.7*10^{17}))/(1.2*10^{18)})
simplify\:0.0259\cdot\:\ln(\frac{(4.7\cdot\:10^{17})}{1.2\cdot\:10^{18}})
simplificar-log_{10}(5.37*10^{-2})
simplify\:-\log_{10}(5.37\cdot\:10^{-2})
simplificar log_{a}((xz^2)/(y^{-2)})
simplify\:\log_{a}(\frac{xz^{2}}{y^{-2}})
simplificar ln(4.206*10^{-3})
simplify\:\ln(4.206\cdot\:10^{-3})
simplificar log_{10}((x^3e^{-x})/(4.408))
simplify\:\log_{10}(\frac{x^{3}e^{-x}}{4.408})
simplificar ln(3)+ln(2)+ln(2)
simplify\:\ln(3)+\ln(2)+\ln(2)
desarrollar ln((e^6)/7)
expand\:\ln(\frac{e^{6}}{7})
simplificar log_{5}(3x)*ln(5)
simplify\:\log_{5}(3x)\cdot\:\ln(5)
simplificar e^{1/4 (ln(2x+1)-ln(2x-1))}
simplify\:e^{\frac{1}{4}(\ln(2x+1)-\ln(2x-1))}
simplificar (ln(2.99)-ln(3))/((2.99)-3)
simplify\:\frac{\ln(2.99)-\ln(3)}{(2.99)-3}
simplificar-log_{10}(4.17*10^{-4})
simplify\:-\log_{10}(4.17\cdot\:10^{-4})
simplificar ln((x^2-1)/(x-3))
simplify\:\ln(\frac{x^{2}-1}{x-3})
simplificar 1/2-1/3 (ln(2)-ln(8)-ln(1)+ln(5))
simplify\:\frac{1}{2}-\frac{1}{3}(\ln(2)-\ln(8)-\ln(1)+\ln(5))
simplificar ln(x)-ln(y)+1
simplify\:\ln(x)-\ln(y)+1
simplificar 8log_{10}(x)-1/2 log_{10}(y)
simplify\:8\log_{10}(x)-\frac{1}{2}\log_{10}(y)
simplificar-2.48ln((0.67)/(1.33))
simplify\:-2.48\ln(\frac{0.67}{1.33})
simplificar ln((u-a)/(u+a))
simplify\:\ln(\frac{u-a}{u+a})
combinar ln(2)*pi/3
join\:\ln(2)\cdot\:\frac{π}{3}
simplificar-ln(x)-1/2 ln((y/x)^2+1)-arctan(y/x)
simplify\:-\ln(x)-\frac{1}{2}\ln((\frac{y}{x})^{2}+1)-\arctan(\frac{y}{x})
simplificar-log_{10}(0.01*10^{-9})
simplify\:-\log_{10}(0.01\cdot\:10^{-9})
simplificar log_{2}(57.6)-log_{2}(1.8)
simplify\:\log_{2}(57.6)-\log_{2}(1.8)
simplificar-log_{10}(3.97X10^{-11})
simplify\:-\log_{10}(3.97X10^{-11})
simplificar (ln(a+x)-ln(a))(ln(a+x)+ln(a))
simplify\:(\ln(a+x)-\ln(a))(\ln(a+x)+\ln(a))
simplificar log_{e}((n!)/((n-x)!x!)(Y)^x(1-Y)^{n-x})
simplify\:\log_{e}(\frac{n!}{(n-x)!x!}(Y)^{x}(1-Y)^{n-x})
simplificar (1/x)^2+log_{e}(2x)
simplify\:(\frac{1}{x})^{2}+\log_{e}(2x)
simplificar ln(1/(2e^{x^2)})
simplify\:\ln(\frac{1}{2e^{x^{2}}})
simplificar ln(3x+16)+ln(x+4)
simplify\:\ln(3x+16)+\ln(x+4)
simplificar-4ln|x|-3ln|2x+1|+11ln|x+1|
simplify\:-4\ln\left|x\right|-3\ln\left|2x+1\right|+11\ln\left|x+1\right|
desarrollar 2log_{2}(x)+8log_{2}(y)
expand\:2\log_{2}(x)+8\log_{2}(y)
simplificar-ln((x+1)/(x-1))
simplify\:-\ln(\frac{x+1}{x-1})
simplificar ln((x^4y^2)/(sqrt(z)))
simplify\:\ln(\frac{x^{4}y^{2}}{\sqrt{z}})
simplificar-(ln(5/4)-ln(7)+ln(5))/2
simplify\:-\frac{\ln(\frac{5}{4})-\ln(7)+\ln(5)}{2}
simplificar 2C-ln(|-x^2+1|^{1/2}|-y^2+1|^{1/2})
simplify\:2C-\ln(\left|-x^{2}+1\right|^{\frac{1}{2}}\left|-y^{2}+1\right|^{\frac{1}{2}})
simplificar 3(ln(3)-ln(x))+(ln(x)-ln(9))
simplify\:3(\ln(3)-\ln(x))+(\ln(x)-\ln(9))
simplificar ln(2-sqrt(5))-ln(e^2+sqrt(e^4+1))
simplify\:\ln(2-\sqrt{5})-\ln(e^{2}+\sqrt{e^{4}+1})
desarrollar log_{2}(x/(3y^2))
expand\:\log_{2}(\frac{x}{3y^{2}})
simplificar ln|x|-ln|x^2|
simplify\:\ln\left|x\right|-\ln\left|x^{2}\right|
simplificar-1423.586575*log_{10}((0.1)/1)
simplify\:-1423.586575\cdot\:\log_{10}(\frac{0.1}{1})
simplificar ln((x^2+1/n)^n)-ln(x^{2n})
simplify\:\ln((x^{2}+\frac{1}{n})^{n})-\ln(x^{2n})
simplificar log_{10}((1/256)/(125/4))
simplify\:\log_{10}(\frac{\frac{1}{256}}{\frac{125}{4}})
simplificar ln(1-x)-ln(1+x)
simplify\:\ln(1-x)-\ln(1+x)
simplificar ln(r*e^{i*θ})
simplify\:\ln(r\cdot\:e^{i\cdot\:θ})
simplificar-log_{10}(2.9*10^{-4})
simplify\:-\log_{10}(2.9\cdot\:10^{-4})
simplificar-log_{10}(3.81*10^{-8})
simplify\:-\log_{10}(3.81\cdot\:10^{-8})
simplificar log_{e}(((1-sin(y)))/(cos(2y)))
simplify\:\log_{e}(\frac{(1-\sin(y))}{\cos(2y)})
simplificar 1/3 (ln(4)-ln(3))
simplify\:\frac{1}{3}(\ln(4)-\ln(3))
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