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Popular Algebra Problems

simplify 3ln(x)+6ln(y)-2ln(z)	simplify\:3\ln(x)+6\ln(y)-2\ln(z)
simplify 4log_{b}(x)+6log_{b}(z)	simplify\:4\log_{b}(x)+6\log_{b}(z)
simplify log_{10}((x^2)/(y^4))	simplify\:\log_{10}(\frac{x^{2}}{y^{4}})
simplify log_{10}(2)-log_{10}(5)	simplify\:\log_{10}(2)-\log_{10}(5)
simplify log_{10}((ab)/(cd))	simplify\:\log_{10}(\frac{ab}{cd})
simplify log_{2}(x^2)+log_{2}(x^3)	simplify\:\log_{2}(x^{2})+\log_{2}(x^{3})
simplify log_{2}(8a)	simplify\:\log_{2}(8a)
simplify ln((x+3)/(x-3))	simplify\:\ln(\frac{x+3}{x-3})
simplify 1/4 log_{2}(1/4)+3/4 log_{2}(3/4)	simplify\:\frac{1}{4}\log_{2}(\frac{1}{4})+\frac{3}{4}\log_{2}(\frac{3}{4})
simplify 1/2 log_{a}(x)+4log_{a}(y)-2log_{a}(x)	simplify\:\frac{1}{2}\log_{a}(x)+4\log_{a}(y)-2\log_{a}(x)
simplify ln(1/(sqrt(x)))	simplify\:\ln(\frac{1}{\sqrt{x}})
simplify log_{10}(x/(y^3z))	simplify\:\log_{10}(\frac{x}{y^{3}z})
simplify log_{5}(xsqrt(y))	simplify\:\log_{5}(x\sqrt{y})
simplify ln(x/6)	simplify\:\ln(\frac{x}{6})
simplify log_{10}((10)/x)	simplify\:\log_{10}(\frac{10}{x})
simplify ln((x^{1/2})/(x^2sqrt(1+x^2)))	simplify\:\ln(\frac{x^{\frac{1}{2}}}{x^{2}\sqrt{1+x^{2}}})
simplify 1/2 ln(3x-5y)-ln(4x+y)	simplify\:\frac{1}{2}\ln(3x-5y)-\ln(4x+y)
expand log_{b}(7x*3y)	expand\:\log_{b}(7x\cdot\:3y)
simplify log_{2}(5)+1/2 log_{2}(36)-log_{2}(10)	simplify\:\log_{2}(5)+\frac{1}{2}\log_{2}(36)-\log_{2}(10)
simplify log_{4}(16yz^3)	simplify\:\log_{4}(16yz^{3})
simplify log_{10}(5x+8)-log_{10}(x)	simplify\:\log_{10}(5x+8)-\log_{10}(x)
simplify log_{4}((sqrt(z))/(16))	simplify\:\log_{4}(\frac{\sqrt{z}}{16})
simplify log_{8}(64x^5)	simplify\:\log_{8}(64x^{5})
simplify-log_{10}(1.7*10^{-5})	simplify\:-\log_{10}(1.7\cdot\:10^{-5})
simplify-ln(5/6)	simplify\:-\ln(\frac{5}{6})
expand ln(ysqrt(y/(4-y)))	expand\:\ln(y\sqrt{\frac{y}{4-y}})
simplify log_{5}(7)+log_{5}(x)-3log_{4}(y)	simplify\:\log_{5}(7)+\log_{5}(x)-3\log_{4}(y)
simplify ln(x^3)-ln(x^6)+ln(x^4)	simplify\:\ln(x^{3})-\ln(x^{6})+\ln(x^{4})
simplify log_{10}(yz^3)	simplify\:\log_{10}(yz^{3})
simplify (ln(6)+ln(2))/(log_{10)(6)+log_{10}(2)}	simplify\:\frac{\ln(6)+\ln(2)}{\log_{10}(6)+\log_{10}(2)}
simplify 1/3 log_{c}(x)+4log_{c}(y)-5log_{c}(x)	simplify\:\frac{1}{3}\log_{c}(x)+4\log_{c}(y)-5\log_{c}(x)
expand log_{3}(3x)	expand\:\log_{3}(3x)
simplify ln(((e^x))/(1+e^x))	simplify\:\ln(\frac{(e^{x})}{1+e^{x}})
simplify log_{5}(6)+log_{5}(8)-log_{5}(12)	simplify\:\log_{5}(6)+\log_{5}(8)-\log_{5}(12)
simplify log_{2}(x)+log_{2}(y)-log_{2}(z)	simplify\:\log_{2}(x)+\log_{2}(y)-\log_{2}(z)
expand log_{10}((y^7)/(xsqrt(z^3)))	expand\:\log_{10}(\frac{y^{7}}{x\sqrt{z^{3}}})
expand log_{3}(6x)	expand\:\log_{3}(6x)
simplify ln(10/7)	simplify\:\ln(\frac{10}{7})
expand ln(x^2)	expand\:\ln(x^{2})
simplify 1/2 log_{4}(x)-3log_{4}(y)-log_{4}(z)	simplify\:\frac{1}{2}\log_{4}(x)-3\log_{4}(y)-\log_{4}(z)
simplify log_{3}(4/x)	simplify\:\log_{3}(\frac{4}{x})
simplify ln(10/4)	simplify\:\ln(\frac{10}{4})
simplify ln(e(x+4))	simplify\:\ln(e(x+4))
simplify log_{10}(3x+2)-log_{10}(x)	simplify\:\log_{10}(3x+2)-\log_{10}(x)
simplify 2ln(3/2)-ln(4)	simplify\:2\ln(\frac{3}{2})-\ln(4)
simplify log_{10}(1/(x^2))	simplify\:\log_{10}(\frac{1}{x^{2}})
simplify log_{9}(xsqrt(y))	simplify\:\log_{9}(x\sqrt{y})
simplify ln(1/1000)	simplify\:\ln(\frac{1}{1000})
simplify ln^2(1/2)	simplify\:\ln^{2}(\frac{1}{2})
simplify ln(y)+ln(5)	simplify\:\ln(y)+\ln(5)
simplify log_{3}(9/(sqrt(x+7)))	simplify\:\log_{3}(\frac{9}{\sqrt{x+7}})
simplify 3log_{10}(4)-5log_{10}(2)+log_{10}(6)	simplify\:3\log_{10}(4)-5\log_{10}(2)+\log_{10}(6)
simplify ln(xe^{x^2})	simplify\:\ln(xe^{x^{2}})
simplify ln(x)+ln(8)	simplify\:\ln(x)+\ln(8)
join 1/4 ln(3)	join\:\frac{1}{4}\ln(3)
simplify ln(3/10)	simplify\:\ln(\frac{3}{10})
simplify log_{10}((x^9)/(y^4))	simplify\:\log_{10}(\frac{x^{9}}{y^{4}})
simplify ln((5sqrt(x))/6)	simplify\:\ln(\frac{5\sqrt{x}}{6})
simplify log_{7}(p/q)	simplify\:\log_{7}(\frac{p}{q})
simplify log_{10}(a)+2log_{10}(b)	simplify\:\log_{10}(a)+2\log_{10}(b)
simplify 1/2 log_{c}(x)+3log_{c}(y)-2log_{c}(x)	simplify\:\frac{1}{2}\log_{c}(x)+3\log_{c}(y)-2\log_{c}(x)
simplify ln(x/(e^{8x)})	simplify\:\ln(\frac{x}{e^{8x}})
simplify 1/2 ln(x)-ln(y)	simplify\:\frac{1}{2}\ln(x)-\ln(y)
simplify 1/2 (log_{5}(a)+log_{5}(b))	simplify\:\frac{1}{2}(\log_{5}(a)+\log_{5}(b))
simplify 2ln(x-2)-ln(x)-1	simplify\:2\ln(x-2)-\ln(x)-1
join log_{10}(2)sqrt(2)	join\:\log_{10}(2)\sqrt{2}
join 1/2 log_{3}(5)	join\:\frac{1}{2}\log_{3}(5)
simplify log_{0.4}(4)+2log_{0.4}(5)	simplify\:\log_{0.4}(4)+2\log_{0.4}(5)
simplify log_{b}((by^5)/(m^2n^4))	simplify\:\log_{b}(\frac{by^{5}}{m^{2}n^{4}})
simplify 1/5 log_{4}(w)+4log_{4}(z)-log_{4}(y)	simplify\:\frac{1}{5}\log_{4}(w)+4\log_{4}(z)-\log_{4}(y)
simplify ln(x^7sqrt(5-x))	simplify\:\ln(x^{7}\sqrt{5-x})
simplify 800ln(10)-480ln(6)-320	simplify\:800\ln(10)-480\ln(6)-320
simplify 1/2 log_{2}(3)-2log_{2}(5)	simplify\:\frac{1}{2}\log_{2}(3)-2\log_{2}(5)
simplify log_{10}((x^5)/(y^3))	simplify\:\log_{10}(\frac{x^{5}}{y^{3}})
simplify log_{2}(8/(sqrt(x+4)))	simplify\:\log_{2}(\frac{8}{\sqrt{x+4}})
simplify log_{2}(sqrt(x))-log_{2}(x^8)	simplify\:\log_{2}(\sqrt{x})-\log_{2}(x^{8})
simplify 3log_{2}(p)+7log_{2}(q)	simplify\:3\cdot\:\log_{2}(p)+7\cdot\:\log_{2}(q)
simplify log_{7}(sqrt(x))-log_{7}(x^8)	simplify\:\log_{7}(\sqrt{x})-\log_{7}(x^{8})
simplify 2log_{10}(x)-log_{10}(x-1)	simplify\:2\log_{10}(x)-\log_{10}(x-1)
simplify-log_{10}(6.8*10^{-4})	simplify\:-\log_{10}(6.8\cdot\:10^{-4})
simplify ln(x/(e^{6x)})	simplify\:\ln(\frac{x}{e^{6x}})
simplify log_{10}(1y)	simplify\:\log_{10}(1y)
simplify ln((xsqrt(x+1))/(x^2+1))	simplify\:\ln(\frac{x\sqrt{x+1}}{x^{2}+1})
simplify log_{10}(3b)	simplify\:\log_{10}(3b)
simplify log_{7}(sqrt(x))-log_{7}(x^6)	simplify\:\log_{7}(\sqrt{x})-\log_{7}(x^{6})
simplify 4ln(x)-1/9 ln(y)	simplify\:4\ln(x)-\frac{1}{9}\ln(y)
simplify log_{3}(2x)	simplify\:\log_{3}(2x)
join 2log_{4}(y)+5log_{4}(x)-1/2 log_{4}(z)	join\:2\log_{4}(y)+5\log_{4}(x)-\frac{1}{2}\log_{4}(z)
simplify log_{sqrt(7)}(343x)	simplify\:\log_{\sqrt{7}}(343x)
simplify 1/2 (log_{6}(s)+log_{6}(t))	simplify\:\frac{1}{2}(\log_{6}(s)+\log_{6}(t))
expand log_{2}((4x+1)/x)	expand\:\log_{2}(\frac{4x+1}{x})
simplify log_{5}((3x^2)/(y^3))	simplify\:\log_{5}(\frac{3x^{2}}{y^{3}})
simplify ln(7/3)	simplify\:\ln(\frac{7}{3})
simplify 1/2 (6ln(x)-7ln(y))	simplify\:\frac{1}{2}(6\ln(x)-7\ln(y))
simplify 1/3 log_{c}(x)+5log_{c}(y)-3log_{c}(x)	simplify\:\frac{1}{3}\log_{c}(x)+5\log_{c}(y)-3\log_{c}(x)
simplify log_{10}(x+1)+log_{10}(x-1)	simplify\:\log_{10}(x+1)+\log_{10}(x-1)
simplify 2log_{10}(12)-3log_{10}(6)+2log_{10}(2)	simplify\:2\log_{10}(12)-3\log_{10}(6)+2\log_{10}(2)
expand log_{7}(((x^5)/y)^5)	expand\:\log_{7}((\frac{x^{5}}{y})^{5})
simplify ln(xln(x))	simplify\:\ln(x\ln(x))
simplify log_{10}(7)-log_{10}(x)	simplify\:\log_{10}(7)-\log_{10}(x)

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