Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36801	Expand the Logarithmic Expression	log base b of x^7(y^(1/3))	$\log_{b} (x^{7}) (y^{\frac{1}{3}})$
36802	Expand the Logarithmic Expression	log base b of x^6y^3z	$\log_{b} (x^{6} y^{3} z)$
36803	Expand the Logarithmic Expression	log base b of x^6y^9z	$\log_{b} (x^{6} y^{9} z)$
36804	Expand the Logarithmic Expression	log base b of x^6y	$\log_{b} (x^{6} y)$
36805	Expand the Logarithmic Expression	log base b of x^(1/2)y^(1/3)	$\log_{b} (x^{\frac{1}{2}} y^{\frac{1}{3}})$
36806	Expand the Logarithmic Expression	log base b of x^(1/2)y^3	$\log_{b} (x^{\frac{1}{2}} y^{3})$
36807	Expand the Logarithmic Expression	log base b of x^2* square root of y/t	$\log_{b} (x^{2}) \cdot \sqrt{\frac{y}{t}}$
36808	Expand the Logarithmic Expression	log base b of x^2 square root of y	$\log_{b} (x^{2} \sqrt{y})$
36809	Expand the Logarithmic Expression	log base b of x^2z	$\log_{b} (x^{2} z)$
36810	Expand the Logarithmic Expression	log base b of x^3y^2z	$\log_{b} (x^{3} y^{2} z)$
36811	Expand the Logarithmic Expression	log base b of x^3y^7z	$\log_{b} (x^{3} y^{7} z)$
36812	Expand the Logarithmic Expression	log base b of (xy^7)/(z^3)	$\log_{b} (\frac{x y^{7}}{z^{3}})$
36813	Expand the Logarithmic Expression	log base b of 0.4	$\log_{b} (0.4)$
36814	Expand the Logarithmic Expression	log base b of ( square root of xy^4)/(z^4)	$\log_{b} (\frac{\sqrt{x y^{4}}}{z^{4}})$
36815	Expand the Logarithmic Expression	log base b of ( square root of xy^3)/(2^3)	$\log_{b} (\frac{\sqrt{x} y^{3}}{2^{3}})$
36816	Expand the Logarithmic Expression	log base b of (7x^2)/(y^4)	$\log_{b} (\frac{7 x^{2}}{y^{4}})$
36817	Expand the Logarithmic Expression	log base b of ((0.83)^3)/((0.56)^2)	$\log_{b} (\frac{{(0.83)}^{3}}{{(0.56)}^{2}})$
36818	Expand the Logarithmic Expression	log base b of (xy^8)/(z^7)	$\log_{b} (\frac{x y^{8}}{z^{7}})$
36819	Expand the Logarithmic Expression	log base b of (3^5*2^2)/(5^6)	$\log_{b} (\frac{3^{5} \cdot 2^{2}}{5^{6}})$
36820	Expand the Logarithmic Expression	log base b of (p^3q^5)/(m^5b^9)	$\log_{b} (\frac{p^{3} q^{5}}{m^{5} b^{9}})$
36821	Expand the Logarithmic Expression	log base b of (p^4q^5)/(m^3b^7)	$\log_{b} (\frac{p^{4} q^{5}}{m^{3} b^{7}})$
36822	Expand the Logarithmic Expression	log base b of (p^4q^5)/(m^5b^7)	$\log_{b} (\frac{p^{4} q^{5}}{m^{5} b^{7}})$
36823	Expand the Logarithmic Expression	log base b of ( square root of xy^5)/(z^5)	$\log_{b} (\frac{\sqrt{x y^{5}}}{z^{5}})$
36824	Expand the Logarithmic Expression	log base b of ( square root of L*M)/(N^3)	$\log_{b} (\frac{\sqrt{L \cdot M}}{N^{3}})$
36825	Expand the Logarithmic Expression	log base b of ( square root of x)/(y^3)	$\log_{b} (\frac{\sqrt{x}}{y^{3}})$
36826	Expand the Logarithmic Expression	log base b of ( cube root of x^4)/(y^3z^4)	$\log_{b} (\frac{\sqrt[3]{x^{4}}}{y^{3} z^{4}})$
36827	Expand the Logarithmic Expression	log base b of (x^(1/6)y^(1/3))/(z^7)	$\log_{b} (\frac{x^{\frac{1}{6}} y^{\frac{1}{3}}}{z^{7}})$
36828	Expand the Logarithmic Expression	log base b of (x^2)/(y^2z^3)	$\log_{b} (\frac{x^{2}}{y^{2} z^{3}})$
36829	Expand the Logarithmic Expression	log base b of (x^2)/(2y)	$\log_{b} (\frac{x^{2}}{2 y})$
36830	Expand the Logarithmic Expression	log base b of (mn^2)/(p^3)	$\log_{b} (\frac{m n^{2}}{p^{3}})$
36831	Expand the Logarithmic Expression	log base b of (x^3y^4)/( square root of z)	$\log_{b} (\frac{x^{3} y^{4}}{\sqrt{z}})$
36832	Expand the Logarithmic Expression	log base b of 3^5*2^2	$\log_{b} (3^{5} \cdot 2^{2})$
36833	Expand the Logarithmic Expression	log base b of 5/6	$\log_{b} (\frac{5}{6})$
36834	Expand the Logarithmic Expression	log base b of (8xz^6)/y	$\log_{b} (\frac{8 x z^{6}}{y})$
36835	Expand the Logarithmic Expression	log base b of 8/9	$\log_{b} (\frac{8}{9})$
36836	Expand the Logarithmic Expression	log base b of 9/7	$\log_{b} (\frac{9}{7})$
36837	Expand the Logarithmic Expression	log base b of 972/(5^6)	$\log_{b} (\frac{972}{5^{6}})$
36838	Expand the Logarithmic Expression	log base b of (b square root of b)/(b^2(c+1)^3(d-2))	$\log_{b} (\frac{b \sqrt{b}}{b^{2} {(c + 1)}^{3} (d - 2)})$
36839	Expand the Logarithmic Expression	log base b of b^(1/4)	$\log_{b} (b^{\frac{1}{4}})$
36840	Expand the Logarithmic Expression	log base b of b^-13	$\log_{b} (b^{- 13})$
36841	Expand the Logarithmic Expression	log base b of pi/3	$\log_{b} (\frac{π}{3})$
36842	Expand the Logarithmic Expression	log base b of u/v	$\log_{b} (\frac{u}{v})$
36843	Expand the Logarithmic Expression	log base b of u^6v^5	$\log_{b} (u^{6} v^{5})$
36844	Expand the Logarithmic Expression	log base b of u^7v^5	$\log_{b} (u^{7} v^{5})$
36845	Expand the Logarithmic Expression	log base b of square root of (x^4y^2)/(z^3)	$\log_{b} (\sqrt{\frac{x^{4} y^{2}}{z^{3}}})$
36846	Expand the Logarithmic Expression	log base b of square root of (xy^3)/(z^3)	$\log_{b} (\sqrt{\frac{x y^{3}}{z^{3}}})$
36847	Expand the Logarithmic Expression	log base b of square root of (xy^4)/(z^5)	$\log_{b} (\sqrt{\frac{x y^{4}}{z^{5}}})$
36848	Expand the Logarithmic Expression	log base b of square root of 2/27	$\log_{b} (\sqrt{\frac{2}{27}})$
36849	Expand the Logarithmic Expression	log base b of square root of 23/79	$\log_{b} (\sqrt{\frac{23}{79}})$
36850	Expand the Logarithmic Expression	log base b of square root of 3/512	$\log_{b} (\sqrt{\frac{3}{512}})$
36851	Expand the Logarithmic Expression	log base b of (x^7y^-3 fifth root of z^4)/(w^3 square root of b)	$\log_{b} (\frac{x^{7} y^{- 3} \sqrt[5]{z^{4}}}{w^{3} \sqrt{b}})$
36852	Expand the Logarithmic Expression	log base b of (x^9y)/(z^9)	$\log_{b} (\frac{x^{9} y}{z^{9}})$
36853	Expand the Logarithmic Expression	log base b of (xy^2)/(w^5z)	$\log_{b} (\frac{x y^{2}}{w^{5} z})$
36854	Expand the Logarithmic Expression	log base b of (xy^2)/(z^5)	$\log_{b} (\frac{x y^{2}}{z^{5}})$
36855	Expand the Logarithmic Expression	log base b of (xy^4)/(z^4)	$\log_{b} (\frac{x y^{4}}{z^{4}})$
36856	Expand the Logarithmic Expression	log base b of (xy^4)/(z^5)	$\log_{b} (\frac{x y^{4}}{z^{5}})$
36857	Expand the Logarithmic Expression	log base b of (xy^8)/(z^9)	$\log_{b} (\frac{x y^{8}}{z^{9}})$
36858	Expand the Logarithmic Expression	log base b of (xy^9)/(z^3)	$\log_{b} (\frac{x y^{9}}{z^{3}})$
36859	Expand the Logarithmic Expression	log base b of (xy^9)/(z^6)	$\log_{b} (\frac{x y^{9}}{z^{6}})$
36860	Expand the Logarithmic Expression	log base a of (x^3(y^2))/( square root of w)	$\log_{a} (\frac{x^{3} (y^{2})}{\sqrt{w}})$
36861	Expand the Logarithmic Expression	log base a of x^2yz^2	$\log_{a} (x^{2} y z^{2})$
36862	Expand the Logarithmic Expression	log base a of 1.5	$\log_{a} (1.5)$
36863	Expand the Logarithmic Expression	log base a of 147	$\log_{a} (147)$
36864	Expand the Logarithmic Expression	log base a of 18	$\log_{a} (18)$
36865	Expand the Logarithmic Expression	log base a of 245	$\log_{a} (245)$
36866	Expand the Logarithmic Expression	log base a of 3	$\log_{a} (3)$
36867	Expand the Logarithmic Expression	log base a of (3x^2y)/(z^4)	$\log_{a} (\frac{3 x^{2} y}{z^{4}})$
36868	Expand the Logarithmic Expression	log base a of 343	$\log_{a} (343)$
36869	Expand the Logarithmic Expression	log base a of x^6y^3+(x^4)/(y^12)	$\log_{a} (x^{6} y^{3}) + \frac{x^{4}}{y^{12}}$
36870	Expand the Logarithmic Expression	log base a of x^6y^7	$\log_{a} (x^{6} y^{7})$
36871	Expand the Logarithmic Expression	log base a of x^4yz^2	$\log_{a} (x^{4}) y z^{2}$
36872	Expand the Logarithmic Expression	log base a of 4x^6yz^3	$\log_{a} (4 x^{6} y z^{3})$
36873	Expand the Logarithmic Expression	log base a of 6xy^5z^4	$\log_{a} (6 x y^{5} z^{4})$
36874	Expand the Logarithmic Expression	log base a of 8x^2y	$\log_{a} (8 x^{2} y)$
36875	Expand the Logarithmic Expression	log base a of 81	$\log_{a} (81)$
36876	Expand the Logarithmic Expression	log base a of (mnq)/(p^2t^4)	$\log_{a} (\frac{m n q}{p^{2} t^{4}})$
36877	Expand the Logarithmic Expression	log base a of u^2v^2	$\log_{a} (u^{2} v^{2})$
36878	Expand the Logarithmic Expression	log base a of cube root of xy^3	$\log_{a} (\sqrt[3]{x y^{3}})$
36879	Expand the Logarithmic Expression	log base a of fifth root of a*a^3	$\log_{a} (\sqrt[5]{a \cdot a^{3}})$
36880	Expand the Logarithmic Expression	log base a of (x^7)/(yz^4)	$\log_{a} (\frac{x^{7}}{y z^{4}})$
36881	Expand the Logarithmic Expression	log base a of (x^8)/(yz^9)	$\log_{a} (\frac{x^{8}}{y z^{9}})$
36882	Expand the Logarithmic Expression	log base a of (x^9w)/(y^2z^4)	$\log_{a} (\frac{x^{9} w}{y^{2} z^{4}})$
36883	Expand the Logarithmic Expression	log base a of (z^2)/(x^3y^4)	$\log_{a} (\frac{z^{2}}{x^{3} y^{4}})$
36884	Expand the Logarithmic Expression	log base a of 1280^(1/2)	$\log_{a} (1280^{\frac{1}{2}})$
36885	Expand the Logarithmic Expression	log base a of (2xy^2)/(z^3)	$\log_{a} (\frac{2 x y^{2}}{z^{3}})$
36886	Expand the Logarithmic Expression	log base a of a^5	$\log_{a} (a^{5})$
36887	Expand the Logarithmic Expression	log base a of a^7	$\log_{a} (a^{7})$
36888	Expand the Logarithmic Expression	log base 8 of x square root of y	$\log_{8} (x \sqrt{y})$
36889	Expand the Logarithmic Expression	log base 8 of 90	$\log_{8} (90)$
36890	Expand the Logarithmic Expression	log base 8 of uvw^5	$\log_{8} (u \cdot v \cdot w^{5})$
36891	Expand the Logarithmic Expression	log base 9 of 9^62	$\log_{9} (9^{62})$
36892	Expand the Logarithmic Expression	log base 9 of AB^4	$\log_{9} (A B^{4})$
36893	Expand the Logarithmic Expression	log base 9 of h/19	$\log_{9} (\frac{h}{19})$
36894	Expand the Logarithmic Expression	log base 9 of r^15	$\log_{9} (r^{15})$
36895	Expand the Logarithmic Expression	log base 9 of u^5v^4	$\log_{9} (u^{5} v^{4})$
36896	Expand the Logarithmic Expression	log base 9 of square root of 3/3	$\log_{9} (\sqrt{\frac{3}{3}})$
36897	Expand the Logarithmic Expression	log base 9 of square root of 578	$\log_{9} (\sqrt{5 \cdot 7 \cdot 8})$
36898	Expand the Logarithmic Expression	log base 9 of fourth root of 17	$\log_{9} (\sqrt[4]{17})$
36899	Expand the Logarithmic Expression	log base 9 of fifth root of (x^(2y))/81	$\log_{9} (\sqrt[5]{\frac{x^{2 y}}{81}})$
36900	Expand the Logarithmic Expression	log base 9 of seventh root of (s^6t)/81	$\log_{9} (\sqrt[7]{\frac{s^{6} t}{81}})$