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Popular Algebra Problems

simplify ln((sqrt(x+13))/((x-4)^3sqrt(2x+1)))	simplify\:\ln(\frac{\sqrt{x+13}}{(x-4)^{3}\sqrt{2x+1}})
simplify ln((1.2)/(1.5))	simplify\:\ln(\frac{1.2}{1.5})
simplify-ln(60-X)+ln(150-X)	simplify\:-\ln(60-X)+\ln(150-X)
simplify 10*log_{e}((e-1)/e)	simplify\:10\cdot\:\log_{e}(\frac{e-1}{e})
simplify 20log_{10}(0.1)+20log_{10}(2.4)+92.45	simplify\:20\log_{10}(0.1)+20\log_{10}(2.4)+92.45
simplify log_{10}((\sqrt[3]{0.02})/(sqrt(8)))	simplify\:\log_{10}(\frac{\sqrt[3]{0.02}}{\sqrt{8}})
simplify 4.89+log_{10}((0.35)/(0.15))	simplify\:4.89+\log_{10}(\frac{0.35}{0.15})
simplify-20log_{10}(0.1)+20log_{10}(3)	simplify\:-20\log_{10}(0.1)+20\log_{10}(3)
simplify 10*log_{10}((x^7)/(log_{10)(10^{-12})})	simplify\:10\cdot\:\log_{10}(\frac{x^{7}}{\log_{10}(10^{-12})})
simplify ln(3/23)+(2/23)ln(23)	simplify\:\ln(\frac{3}{23})+(\frac{2}{23})\ln(23)
simplify ln(178)-ln(713)	simplify\:\ln(178)-\ln(713)
simplify-1/(0.05)ln((2.3)/8)	simplify\:-\frac{1}{0.05}\ln(\frac{2.3}{8})
simplify ln(4/8)	simplify\:\ln(\frac{4}{8})
simplify 4log_{10}(r)-log_{10}(cx)	simplify\:4\log_{10}(r)-\log_{10}(cx)
simplify 2log_{10}(x-3)-3log_{10}(x)	simplify\:2\log_{10}(x-3)-3\log_{10}(x)
simplify ln((20-70.0679)/(40-70.0679))	simplify\:\ln(\frac{20-7\cdot\:0.0679}{40-7\cdot\:0.0679})
simplify log_{x}(1/(3x))	simplify\:\log_{x}(\frac{1}{3x})
simplify ln((3x^2)/θ*e^{-(3x^2)/θ})	simplify\:\ln(\frac{3x^{2}}{θ}\cdot\:e^{-\frac{3x^{2}}{θ}})
simplify ln(x^2-2x-24)-ln(x+4)	simplify\:\ln(x^{2}-2x-24)-\ln(x+4)
simplify-log_{10}(4*10^{-6})	simplify\:-\log_{10}(4\cdot\:10^{-6})
simplify-ln(4/3)	simplify\:-\ln(\frac{4}{3})
simplify 1/2 ln((sqrt(3))/4)-1/2 ln(1/2)	simplify\:\frac{1}{2}\ln(\frac{\sqrt{3}}{4})-\frac{1}{2}\ln(\frac{1}{2})
join 1/3 log_{2}(3)	join\:\frac{1}{3}\log_{2}(3)
simplify 5log_{5}(7y+1)+1/2 log_{5}(y+5)	simplify\:5\log_{5}(7y+1)+\frac{1}{2}\log_{5}(y+5)
simplify ln((2x)/(a^2))	simplify\:\ln(\frac{2x}{a^{2}})
simplify 6log_{5}(z-4)-3log_{5}(z+5)	simplify\:6\log_{5}(z-4)-3\log_{5}(z+5)
expand log_{10}((10)/(x(x^2+1)(x^4+2)))	expand\:\log_{10}(\frac{10}{x(x^{2}+1)(x^{4}+2)})
simplify 2/7 ln\|x+6\|+5/7 ln\|x-1\|	simplify\:\frac{2}{7}\ln\left\|x+6\right\|+\frac{5}{7}\ln\left\|x-1\right\|
simplify-log_{10}(0.6(10^{-3}))	simplify\:-\log_{10}(0.6(10^{-3}))
simplify ln(12 12/5)	simplify\:\ln(12\frac{12}{5})
simplify 10log_{10}(56.27)-10log_{10}(33.52)	simplify\:10\log_{10}(56.27)-10\log_{10}(33.52)
simplify ln((11)/(0.5))	simplify\:\ln(\frac{11}{0.5})
simplify 1/16 ln(18/10)	simplify\:\frac{1}{16}\ln(\frac{18}{10})
simplify (ln(18677)-ln(100))/(ln(75000)-ln(100))	simplify\:\frac{\ln(18677)-\ln(100)}{\ln(75000)-\ln(100)}
simplify (ln(2)-ln(10^{-3}))/(ln(2))	simplify\:\frac{\ln(2)-\ln(10^{-3})}{\ln(2)}
simplify (-ln(2))/(ln(364)-ln(365))+1	simplify\:\frac{-\ln(2)}{\ln(364)-\ln(365)}+1
expand log_{c}(x^3)	expand\:\log_{c}(x^{3})
simplify 3ln(x+2)-3ln(x)	simplify\:3\ln(x+2)-3\ln(x)
expand log_{10}((z^3y^4)/(x^5))	expand\:\log_{10}(\frac{z^{3}y^{4}}{x^{5}})
simplify 20log_{10}((0.15)/(4pi))	simplify\:20\cdot\:\log_{10}(\frac{0.15}{4\cdot\:π})
simplify ln(xsqrt(5/(2x+3)))	simplify\:\ln(x\sqrt{\frac{5}{2x+3}})
simplify-ln(1-x)+ln(1+x)	simplify\:-\ln(1-x)+\ln(1+x)
simplify ln(1/(5e))	simplify\:\ln(\frac{1}{5e})
simplify 1/4 (ln(3tan(x/2+1))-ln(tan(x/2+3)))+c	simplify\:\frac{1}{4}(\ln(3\tan(\frac{x}{2}+1))-\ln(\tan(\frac{x}{2}+3)))+c
simplify 0.423-(0.0592)/2 log_{10}((0.075)/(0.1))	simplify\:0.423-\frac{0.0592}{2}\log_{10}(\frac{0.075}{0.1})
simplify 150ln(350/300)	simplify\:150\ln(\frac{350}{300})
simplify ln(\mid cos(θ)2(ln\|1+cos(2θ)\|-ln(2)))	simplify\:\ln(\mid\:\cos(θ)2(\ln\left\|1+\cos(2θ)\right\|-\ln(2)))
simplify ln(e^{3x}*sin(2x))	simplify\:\ln(e^{3x}\cdot\:\sin(2x))
simplify ln(-2*e^{-x})	simplify\:\ln(-2\cdot\:e^{-x})
simplify ln(x^3+8)-ln(6x^3+17x)	simplify\:\ln(x^{3}+8)-\ln(6x^{3}+17x)
simplify 1/3 ln(47/73)	simplify\:\frac{1}{3}\ln(\frac{47}{73})
simplify ln(2^3+4)-ln(8*(2)^3+15(2))	simplify\:\ln(2^{3}+4)-\ln(8\cdot\:(2)^{3}+15(2))
simplify 3*(-2ln(11)+4ln(3))/(20)	simplify\:3\cdot\:\frac{-2\ln(11)+4\ln(3)}{20}
simplify 14+log_{10}((0.118)/5)	simplify\:14+\log_{10}(\frac{0.118}{5})
simplify ln((2x)/(1+x^2))	simplify\:\ln(\frac{2x}{1+x^{2}})
expand log_{4}(((12)/(11^3))^6)	expand\:\log_{4}((\frac{12}{11^{3}})^{6})
simplify ln(3)-2/3 ln(2)	simplify\:\ln(3)-\frac{2}{3}\ln(2)
simplify-0.38*log_{2}(0.38)-0.62log_{2}(0.62)	simplify\:-0.38\cdot\:\log_{2}(0.38)-0.62\log_{2}(0.62)
simplify 2*ln(1/(0.8))	simplify\:2\cdot\:\ln(\frac{1}{0.8})
simplify log_{e}(1/5)	simplify\:\log_{e}(\frac{1}{5})
simplify ln(1*10^{10})	simplify\:\ln(1\cdot\:10^{10})
simplify 2ln(1/(0.97297))	simplify\:2\ln(\frac{1}{0.97297})
simplify 4ln\|x\|-4ln\|x+1\|+3/x+C	simplify\:4\ln\left\|x\right\|-4\ln\left\|x+1\right\|+\frac{3}{x}+C
simplify ln(1/(e^{20)}-1)-ln(20)(1/2)	simplify\:\ln(\frac{1}{e^{20}}-1)-\ln(20)(\frac{1}{2})
simplify (20.053)/5ln((0.45)/(0.2))	simplify\:\frac{2\cdot\:0.053}{5}\cdot\:\ln(\frac{0.45}{0.2})
simplify-log_{10}(2.43*10^{-4})	simplify\:-\log_{10}(2.43\cdot\:10^{-4})
simplify (ln(10)-ln(3))/(2ln(3))	simplify\:\frac{\ln(10)-\ln(3)}{2\ln(3)}
simplify ln(-α(x-θ)^2)	simplify\:\ln(-α(x-θ)^{2})
simplify ln(cos(a)rctanx)	simplify\:\ln(\cos(a)rctanx)
simplify ln((5x^3-x)/(3x))	simplify\:\ln(\frac{5x^{3}-x}{3x})
simplify ln((3.64)/(23))+(2(2))/(23)	simplify\:\ln(\frac{3.64}{23})+\frac{2(2)}{23}
simplify 1/2 ln(x-1)-1/2 ln(x+1)	simplify\:\frac{1}{2}\ln(x-1)-\frac{1}{2}\ln(x+1)
simplify 8ln(x+8)-8ln(x)	simplify\:8\ln(x+8)-8\ln(x)
simplify ln(273/293)*1.3	simplify\:\ln(\frac{273}{293})\cdot\:1.3
simplify ln(1.7*10^9)	simplify\:\ln(1.7\cdot\:10^{9})
simplify 1/2 ln(10)+1/2 ln(20)	simplify\:\frac{1}{2}\ln(10)+\frac{1}{2}\ln(20)
simplify 3ln(1/2 3)+1	simplify\:3\ln(\frac{1}{2}3)+1
simplify ln(x^2)-ln(y^2)+ln(l^2)	simplify\:\ln(x^{2})-\ln(y^{2})+\ln(l^{2})
expand log_{10}((1/4)_{2})+1	expand\:\log_{10}((\frac{1}{4})_{2})+1
simplify ln(8)-ln(e^y)	simplify\:\ln(8)-\ln(e^{y})
simplify ln(343/293)	simplify\:\ln(\frac{343}{293})
simplify ln((\|Bl-E\|)/(\|E\|))	simplify\:\ln(\frac{\left\|Bl-E\right\|}{\left\|E\right\|})
simplify log_{2}(0.7)0.7+log_{2}(0.3)0.3	simplify\:\log_{2}(0.7)\cdot\:0.7+\log_{2}(0.3)\cdot\:0.3
simplify-ln(((x-y))/x)	simplify\:-\ln(\frac{(x-y)}{x})
simplify 6log_{b}(3w+1)+1/4 log_{b}(w+9)	simplify\:6\log_{b}(3w+1)+\frac{1}{4}\log_{b}(w+9)
simplify ln((θ^3)/(a(3))2^2e^{2θ})	simplify\:\ln(\frac{θ^{3}}{a(3)}2^{2}e^{2θ})
simplify log_{e}(2pi)	simplify\:\log_{e}(2π)
simplify-2ln(3/4)+ln(5/9)	simplify\:-2\ln(\frac{3}{4})+\ln(\frac{5}{9})
simplify-log_{10}(7.15x10^{-5})	simplify\:-\log_{10}(7.15x10^{-5})
simplify 3log_{10}(x)-2log_{10}(x+4)	simplify\:3\log_{10}(x)-2\log_{10}(x+4)
simplify ln(2x+2)-ln(x+2)	simplify\:\ln(2x+2)-\ln(x+2)
simplify (19.15)/(3219*0.02)ln(1/(1-0.9))	simplify\:\frac{19.15}{3219\cdot\:0.02}\ln(\frac{1}{1-0.9})
simplify ln(3x)-x(1/x)	simplify\:\ln(3x)-x(\frac{1}{x})
simplify-log_{10}(2.85*10^{-2})	simplify\:-\log_{10}(2.85\cdot\:10^{-2})
join pi/6 ln(5)	join\:\frac{π}{6}\ln(5)
simplify 6log_{c}(x)-1/2 log_{c}(z)+7log_{c}(w)	simplify\:6\log_{c}(x)-\frac{1}{2}\log_{c}(z)+7\log_{c}(w)
simplify ln(1/29)	simplify\:\ln(\frac{1}{29})
simplify ln((25)/(22.5))	simplify\:\ln(\frac{25}{22.5})
simplify 9x+3ln(x-1)-3ln(2)+4ln(x)	simplify\:9x+3\ln(x-1)-3\ln(2)+4\ln(x)
factor-3ln\|x+3\|+3ln\|x+1\|	factor\:-3\ln\left\|x+3\right\|+3\ln\left\|x+1\right\|

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