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simplify log_{4}((64)/(sqrt(x+2)))	simplify\:\log_{4}(\frac{64}{\sqrt{x+2}})
simplify-(1/3 log_{2}(1/3)+2/3 log_{2}(2/3))	simplify\:-(\frac{1}{3}\log_{2}(\frac{1}{3})+\frac{2}{3}\log_{2}(\frac{2}{3}))
simplify (2ln(2))/(ln(5)-2ln(2))	simplify\:\frac{2\ln(2)}{\ln(5)-2\ln(2)}
simplify log_{10}((x^6y)/z)	simplify\:\log_{10}(\frac{x^{6}y}{z})
expand ln((3r^2)/(r-8))	expand\:\ln(\frac{3r^{2}}{r-8})
simplify-log_{10}(1.3*10^{-8})	simplify\:-\log_{10}(1.3\cdot\:10^{-8})
simplify 3.3+log_{10}((0.3)/(0.25))	simplify\:3.3+\log_{10}(\frac{0.3}{0.25})
simplify log_{10}(x/(3y))	simplify\:\log_{10}(\frac{x}{3y})
expand log_{10}((z^3)/(ysqrt(x^5)))	expand\:\log_{10}(\frac{z^{3}}{y\sqrt{x^{5}}})
simplify ln(1/(x^2+1))	simplify\:\ln(\frac{1}{x^{2}+1})
simplify ln(3)+1/3 ln(4-x^2)-ln(x)	simplify\:\ln(3)+\frac{1}{3}\ln(4-x^{2})-\ln(x)
simplify-log_{10}(5\times 10^{-3})	simplify\:-\log_{10}(5\times\:10^{-3})
simplify log_{10}(15)-log_{10}(5)	simplify\:\log_{10}(15)-\log_{10}(5)
simplify ln(8/3)	simplify\:\ln(\frac{8}{3})
simplify log_{b}(y^2)-log_{b}(x-y)	simplify\:\log_{b}(y^{2})-\log_{b}(x-y)
simplify log_{10}((sqrt(a))/(b+c))	simplify\:\log_{10}(\frac{\sqrt{a}}{b+c})
expand log_{4}((2w^4)^3)	expand\:\log_{4}((2w^{4})^{3})
simplify ln(x)+ln(10)	simplify\:\ln(x)+\ln(10)
simplify ln(x)+ln(12)	simplify\:\ln(x)+\ln(12)
expand log_{6}(6x)	expand\:\log_{6}(6x)
simplify log_{4}(xy^6z^4)	simplify\:\log_{4}(xy^{6}z^{4})
simplify log_{10}(((100x)^2)/(27))	simplify\:\log_{10}(\frac{(100x)^{2}}{27})
simplify log_{3}((x^5)/(y^6))	simplify\:\log_{3}(\frac{x^{5}}{y^{6}})
simplify-ln(3/4)	simplify\:-\ln(\frac{3}{4})
simplify log_{a}((a^3x)/(y^2))	simplify\:\log_{a}(\frac{a^{3}x}{y^{2}})
expand log_{13}(13x)	expand\:\log_{13}(13x)
simplify ln((7x^3)/(y^2))	simplify\:\ln(\frac{7x^{3}}{y^{2}})
expand log_{3}((sqrt(5))/(q^2p))	expand\:\log_{3}(\frac{\sqrt{5}}{q^{2}p})
simplify ln(3-x^2)-ln(x+sqrt(3))	simplify\:\ln(3-x^{2})-\ln(x+\sqrt{3})
simplify ln(x^2-13x+36)+2ln(x-4)-ln(x-9)	simplify\:\ln(x^{2}-13x+36)+2\ln(x-4)-\ln(x-9)
simplify log_{b}(m^3n^2p^5)	simplify\:\log_{b}(m^{3}n^{2}p^{5})
simplify log_{8}((64)/(sqrt(x+1)))	simplify\:\log_{8}(\frac{64}{\sqrt{x+1}})
simplify log_{10}((sqrt(x))/(10y^6))	simplify\:\log_{10}(\frac{\sqrt{x}}{10y^{6}})
simplify 1/3 log_{c}(x)+3log_{c}(y)-5log_{c}(x)	simplify\:\frac{1}{3}\log_{c}(x)+3\log_{c}(y)-5\log_{c}(x)
simplify ln(13/3)	simplify\:\ln(\frac{13}{3})
simplify (3log_{7}(m)+12log_{7}(n))-3log_{7}(p)	simplify\:(3\log_{7}(m)+12\log_{7}(n))-3\log_{7}(p)
expand log_{6}(csqrt(a*b))	expand\:\log_{6}(c\sqrt{a\cdot\:b})
simplify-ln(4/5)	simplify\:-\ln(\frac{4}{5})
simplify 6log_{9}(z)+6log_{9}(x)-2log_{9}(y)	simplify\:6\log_{9}(z)+6\log_{9}(x)-2\log_{9}(y)
simplify 1/3 log_{b}(x)+2log_{b}(y)-3log_{b}(x)	simplify\:\frac{1}{3}\log_{b}(x)+2\log_{b}(y)-3\log_{b}(x)
simplify ln(((2y+1)^5)/(sqrt(y^2+1)))	simplify\:\ln(\frac{(2y+1)^{5}}{\sqrt{y^{2}+1}})
simplify log_{10}(3)-log_{10}(4)	simplify\:\log_{10}(3)-\log_{10}(4)
simplify ln(((1+sqrt(5)))/2)	simplify\:\ln(\frac{(1+\sqrt{5})}{2})
simplify 4log_{10}(x)+7log_{10}(y)	simplify\:4\log_{10}(x)+7\log_{10}(y)
simplify log_{5}((25)/(sqrt(x+3)))	simplify\:\log_{5}(\frac{25}{\sqrt{x+3}})
simplify 2ln(ln(e^z)ln(e^y))-ln(x^2)	simplify\:2\ln(\ln(e^{z})\ln(e^{y}))-\ln(x^{2})
simplify log_{a}(2/5)	simplify\:\log_{a}(\frac{2}{5})
simplify 4.74+log_{10}((0.2)/(0.3))	simplify\:4.74+\log_{10}(\frac{0.2}{0.3})
expand log_{b}((x^3y)/(z^7))	expand\:\log_{b}(\frac{x^{3}y}{z^{7}})
simplify log_{2}(2/x)	simplify\:\log_{2}(\frac{2}{x})
simplify 7/6+2ln(2)-ln(3)-5(ln(6)-ln(5))	simplify\:\frac{7}{6}+2\ln(2)-\ln(3)-5(\ln(6)-\ln(5))
simplify ln(ab^x)	simplify\:\ln(ab^{x})
simplify ln(x^2-1)-2ln(x+1)+ln(x^2+x)	simplify\:\ln(x^{2}-1)-2\ln(x+1)+\ln(x^{2}+x)
simplify log_{10}(x^3z)	simplify\:\log_{10}(x^{3}z)
simplify 2ln(x)+3ln(y)-4ln(z)	simplify\:2\ln(x)+3\ln(y)-4\ln(z)
simplify (9ln(5))/(2ln(3)-ln(5))	simplify\:\frac{9\ln(5)}{2\ln(3)-\ln(5)}
simplify log_{10}(3x+10)-log_{10}(x)	simplify\:\log_{10}(3x+10)-\log_{10}(x)
simplify log_{10}(a)+4log_{10}(b)	simplify\:\log_{10}(a)+4\log_{10}(b)
simplify-(3/7)log_{2}(3/7)-(4/7)log_{2}(4/7)	simplify\:-(\frac{3}{7})\log_{2}(\frac{3}{7})-(\frac{4}{7})\log_{2}(\frac{4}{7})
simplify 2ln(2)-ln(5)	simplify\:2\ln(2)-\ln(5)
simplify ln((0.6)/(0.4))	simplify\:\ln(\frac{0.6}{0.4})
expand log_{2}((8x^4)/5)	expand\:\log_{2}(\frac{8x^{4}}{5})
simplify 4ln(x)+2ln(y)-6ln(z)	simplify\:4\ln(x)+2\ln(y)-6\ln(z)
simplify (85)log_{1/2}(90/100)	simplify\:(85)\log_{\frac{1}{2}}(\frac{90}{100})
expand log_{6}((\sqrt[3]{x})/(36y^4))	expand\:\log_{6}(\frac{\sqrt[3]{x}}{36y^{4}})
simplify log_{10}(2)+log_{10}(x)-log_{10}(x+3)	simplify\:\log_{10}(2)+\log_{10}(x)-\log_{10}(x+3)
simplify ln(x+2)+ln(x-2)	simplify\:\ln(x+2)+\ln(x-2)
simplify ln(3)+1/3 ln(8)	simplify\:\ln(3)+\frac{1}{3}\ln(8)
simplify 3log_{12}(2)+1/3 log_{12}(8)-log_{12}(4)	simplify\:3\log_{12}(2)+\frac{1}{3}\log_{12}(8)-\log_{12}(4)
simplify-log_{10}(1.3\times 10^{-4})	simplify\:-\log_{10}(1.3\times\:10^{-4})
simplify ln(1/130)	simplify\:\ln(\frac{1}{130})
simplify log_{10}(8)-2log_{10}(6)+log_{10}(3)	simplify\:\log_{10}(8)-2\log_{10}(6)+\log_{10}(3)
expand log_{9}(z^5\sqrt[3]{x})	expand\:\log_{9}(z^{5}\sqrt[3]{x})
simplify log_{a}(6xy^5z^4)	simplify\:\log_{a}(6xy^{5}z^{4})
simplify 5log_{10}(3)+log_{10}(4)	simplify\:5\log_{10}(3)+\log_{10}(4)
simplify log_{10}(k^2-100)-log_{10}(k)-10	simplify\:\log_{10}(k^{2}-100)-\log_{10}(k)-10
simplify ln((3sqrt(d))/(4^{-1)})	simplify\:\ln(\frac{3\sqrt{d}}{4^{-1}})
simplify 1/3-3ln(1/3)	simplify\:\frac{1}{3}-3\ln(\frac{1}{3})
expand log_{10}(5*3)	expand\:\log_{10}(5\cdot\:3)
simplify ln(1/(25k))	simplify\:\ln(\frac{1}{25k})
simplify 3log_{a}(b)-1/2 log_{a}(c)	simplify\:3\log_{a}(b)-\frac{1}{2}\log_{a}(c)
simplify ln(15)-ln(5)	simplify\:\ln(15)-\ln(5)
simplify 1/4 log_{b}(x)+5log_{b}(y)-4log_{b}(x)	simplify\:\frac{1}{4}\log_{b}(x)+5\log_{b}(y)-4\log_{b}(x)
simplify log_{10}((sqrt(x))/(100y^8))	simplify\:\log_{10}(\frac{\sqrt{x}}{100y^{8}})
simplify log_{b}(xyz)	simplify\:\log_{b}(xyz)
simplify 3ln(x)+6ln(y)-4ln(z)	simplify\:3\ln(x)+6\ln(y)-4\ln(z)
simplify 4ln(x)-1/4 ln(y)	simplify\:4\ln(x)-\frac{1}{4}\ln(y)
simplify log_{2}(8/(sqrt(x+7)))	simplify\:\log_{2}(\frac{8}{\sqrt{x+7}})
simplify log_{2}(2x+1)-5log_{4}(x^2)+4log_{2}(x)	simplify\:\log_{2}(2x+1)-5\log_{4}(x^{2})+4\log_{2}(x)
expand log_{3}((3/x)^3)	expand\:\log_{3}((\frac{3}{x})^{3})
simplify log_{10}(3*10^x)	simplify\:\log_{10}(3\cdot\:10^{x})
simplify log_{5}(8)-log_{5}(3)	simplify\:\log_{5}(8)-\log_{5}(3)
simplify log_{3}(28)-log_{3}(7)	simplify\:\log_{3}(28)-\log_{3}(7)
simplify ln((xy^2)/(e^3z^4))	simplify\:\ln(\frac{xy^{2}}{e^{3}z^{4}})
simplify log_{3}(2)+log_{3}(2-x)	simplify\:\log_{3}(2)+\log_{3}(2-x)
simplify-log_{10}(2)-log_{10}(3)	simplify\:-\log_{10}(2)-\log_{10}(3)
simplify ln(3x)-ln(x)	simplify\:\ln(3x)-\ln(x)
simplify log_{10}(2)-log_{10}(6)	simplify\:\log_{10}(2)-\log_{10}(6)
simplify ln(1+sqrt(2))-ln(-1+sqrt(2))	simplify\:\ln(1+\sqrt{2})-\ln(-1+\sqrt{2})
simplify log_{10}((x^4y)/z)	simplify\:\log_{10}(\frac{x^{4}y}{z})

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