Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38801	Expand the Logarithmic Expression	log base 2 of (2xz)/(y^2)	$\log_{2} (\frac{2 x z}{y^{2}})$
38802	Expand the Logarithmic Expression	log base 2 of 32^(1/6)	$\log_{2} (32^{\frac{1}{6}})$
38803	Expand the Logarithmic Expression	log base 2 of 4/( square root of x+3)	$\log_{2} (\frac{4}{\sqrt{x + 3}})$
38804	Expand the Logarithmic Expression	log base 2 of (x^3)/y	$\log_{2} (\frac{x^{3}}{y})$
38805	Expand the Logarithmic Expression	log base 2 of (x^5)/(x-5)	$\log_{2} (\frac{x^{5}}{x - 5})$
38806	Expand the Logarithmic Expression	log base 2 of (x^5)/(yz)	$\log_{2} (\frac{x^{5}}{y z})$
38807	Expand the Logarithmic Expression	log base 2 of (xy^2)/(4z)	$\log_{2} (\frac{x y^{2}}{4 z})$
38808	Expand the Logarithmic Expression	log base 2 of (xy^3)/(z^2)	$\log_{2} (\frac{x y^{3}}{z^{2}})$
38809	Expand the Logarithmic Expression	log base 2 of 1/128	$\log_{2} (\frac{1}{128})$
38810	Expand the Logarithmic Expression	log base 2 of 128/(x^2+7)	$\log_{2} (\frac{128}{x^{2} + 7})$
38811	Expand the Logarithmic Expression	log base 2 of (16x^4( cube root of x-8))/(7(x+5)^4)	$\log_{2} (\frac{16 x^{4} (\sqrt[3]{x - 8})}{7 {(x + 5)}^{4}})$
38812	Expand the Logarithmic Expression	log base 2 of (16y^3)/(x^5 square root of z)	$\log_{2} (\frac{16 y^{3}}{x^{5} \sqrt{z}})$
38813	Expand the Logarithmic Expression	log base 2 of 2/5	$\log_{2} (\frac{2}{5})$
38814	Expand the Logarithmic Expression	log base 3 of (27x^5 cube root of y)^2	$\log_{3} ({(27 x^{5} \sqrt[3]{y})}^{2})$
38815	Expand the Logarithmic Expression	log base 3 of (3)^(2x+1)	$\log_{3} ({(3)}^{2 x + 1})$
38816	Expand the Logarithmic Expression	log base 2 of (y)^5	$\log_{2} ({(y)}^{5})$
38817	Expand the Logarithmic Expression	log base 3 of ((11^4)/5)^2	$\log_{3} ({(\frac{11^{4}}{5})}^{2})$
38818	Expand the Logarithmic Expression	log base 3 of ((u^3)/v)^2	$\log_{3} ({(\frac{u^{3}}{v})}^{2})$
38819	Expand the Logarithmic Expression	log base 3 of ((x^4)/y)^2	$\log_{3} ({(\frac{x^{4}}{y})}^{2})$
38820	Expand the Logarithmic Expression	log base 3 of ((x^4)/y)^3	$\log_{3} ({(\frac{x^{4}}{y})}^{3})$
38821	Expand the Logarithmic Expression	log base 3 of (1/27)^2	$\log_{3} ({(\frac{1}{27})}^{2})$
38822	Expand the Logarithmic Expression	log base 3 of (2/m)^3	$\log_{3} ({(\frac{2}{m})}^{3})$
38823	Expand the Logarithmic Expression	log base 3 of ((2x square root of x^2+4)/(3 fifth root of x-1))^2	$\log_{3} ({(\frac{2 x \sqrt{x^{2} + 4}}{3 \sqrt[5]{x - 1}})}^{2})$
38824	Expand the Logarithmic Expression	log base 3 of (5/(12^5))^2	$\log_{3} ({(\frac{5}{12^{5}})}^{2})$
38825	Expand the Logarithmic Expression	log base 3 of ((7x)/y)^(1/3)	$\log_{3} ({(\frac{7 x}{y})}^{\frac{1}{3}})$
38826	Expand the Logarithmic Expression	log base 5 of (u square root of v)^3	$\log_{5} ({(u \sqrt{v})}^{3})$
38827	Expand the Logarithmic Expression	log base 5 of (x)^(1/9)	$\log_{5} ({(x)}^{\frac{1}{9}})$
38828	Expand the Logarithmic Expression	log base 5 of (xy)^3	$\log_{5} ({(x y)}^{3})$
38829	Expand the Logarithmic Expression	log base 5 of (xy)^4	$\log_{5} ({(x y)}^{4})$
38830	Expand the Logarithmic Expression	log base 5 of (z)^6	$\log_{5} ({(z)}^{6})$
38831	Expand the Logarithmic Expression	log base 6 of (216/(x^3y))^4	$\log_{6} ({(\frac{216}{x^{3} y})}^{4})$
38832	Expand the Logarithmic Expression	log base 6 of (8^3*11)^2	$\log_{6} ({(8^{3} \cdot 11)}^{2})$
38833	Expand the Logarithmic Expression	log base 6 of (x/36)^4	$\log_{6} ({(\frac{x}{36})}^{4})$
38834	Expand the Logarithmic Expression	log base 6 of (xy^3)^6	$\log_{6} ({(x y^{3})}^{6})$
38835	Expand the Logarithmic Expression	log base 3 of (9x)^3	$\log_{3} ({(9 x)}^{3})$
38836	Expand the Logarithmic Expression	( log base 6 of 5)/( log base 5 of 216)	$\frac{\log_{6} (5)}{\log_{5} (216)}$
38837	Expand the Logarithmic Expression	log base 5 of (2x)^3	$\log_{5} ({(2 x)}^{3})$
38838	Expand the Logarithmic Expression	log base 5 of (5)^53	$\log_{5} ({(5)}^{53})$
38839	Expand the Logarithmic Expression	log base 5 of (5x)^3	$\log_{5} ({(5 x)}^{3})$
38840	Expand the Logarithmic Expression	log base 5 of (625)^-6	$\log_{5} ({(625)}^{- 6})$
38841	Expand the Logarithmic Expression	log base 5 of (8x)^4	$\log_{5} ({(8 x)}^{4})$
38842	Expand the Logarithmic Expression	log base 7 of ((a^5)/b)^4	$\log_{7} ({(\frac{a^{5}}{b})}^{4})$
38843	Expand the Logarithmic Expression	log base 7 of ((x^3)/y)^3	$\log_{7} ({(\frac{x^{3}}{y})}^{3})$
38844	Expand the Logarithmic Expression	log base 7 of ((x^6)/x)^5	$\log_{7} ({(\frac{x^{6}}{x})}^{5})$
38845	Expand the Logarithmic Expression	log base 7 of (x/(y^5))^6	$\log_{7} ({(\frac{x}{y^{5}})}^{6})$
38846	Expand the Logarithmic Expression	log base 7 of (xy^6)^4	$\log_{7} ({(x y^{6})}^{4})$
38847	Expand the Logarithmic Expression	log base 7 of (7)^-0.89	$\log_{7} ({(7)}^{- 0.89})$
38848	Expand the Logarithmic Expression	log base 8 of ((x^2-4)/((x+5)^2))^3	$\log_{8} ({(\frac{x^{2} - 4}{{(x + 5)}^{2}})}^{3})$
38849	Expand the Logarithmic Expression	log base 8 of ((x^2-9)/((x+2)^2))^3	$\log_{8} ({(\frac{x^{2} - 9}{{(x + 2)}^{2}})}^{3})$
38850	Expand the Logarithmic Expression	log base 8 of (6/7)^3	$\log_{8} ({(\frac{6}{7})}^{3})$
38851	Expand the Logarithmic Expression	log base 8 of (u^4*v)^4	$\log_{8} ({(u^{4} \cdot v)}^{4})$
38852	Expand the Logarithmic Expression	log base 8 of (uv^2)^5	$\log_{8} ({(u v^{2})}^{5})$
38853	Expand the Logarithmic Expression	( log base 8 of 4x+2)/( sixth root of 2-3x)	$\frac{\log_{8} (4 x + 2)}{\sqrt[6]{2 - 3 x}}$
38854	Expand the Logarithmic Expression	log base 8 of (56^211)^2	$\log_{8} ({(5 \cdot 6^{2} \cdot 11)}^{2})$
38855	Expand the Logarithmic Expression	log base 8 of (8)^17	$\log_{8} ({(8)}^{17})$
38856	Expand the Logarithmic Expression	log base 8 of (x)^4	$\log_{8} ({(x)}^{4})$
38857	Expand the Logarithmic Expression	log base 9 of (x*y)^2	$\log_{9} ({(x \cdot y)}^{2})$
38858	Expand the Logarithmic Expression	log base 9 of (xy)^10	$\log_{9} ({(x y)}^{10})$
38859	Expand the Logarithmic Expression	log base 9 of (xy)^5	$\log_{9} ({(x y)}^{5})$
38860	Expand the Logarithmic Expression	log base a of ((5x^2 cube root of 1-4x)/(7(x+1)^2))^(3/2)	$\log_{a} ({(\frac{5 x^{2} \sqrt[3]{1 - 4 x}}{7 {(x + 1)}^{2}})}^{\frac{3}{2}})$
38861	Expand the Logarithmic Expression	log base 6 of (xy)^4	$\log_{6} ({(x y)}^{4})$
38862	Expand the Logarithmic Expression	log base 6 of (xy)^5	$\log_{6} ({(x y)}^{5})$
38863	Expand the Logarithmic Expression	log base 9 of ((2^2)/5)^2	$\log_{9} ({(\frac{2^{2}}{5})}^{2})$
38864	Expand the Logarithmic Expression	log base 9 of ((3^3)/7)^4	$\log_{9} ({(\frac{3^{3}}{7})}^{4})$
38865	Expand the Logarithmic Expression	log base 9 of ((a^6)/b)^5	$\log_{9} ({(\frac{a^{6}}{b})}^{5})$
38866	Expand the Logarithmic Expression	log base 9 of (12^2*5)^5	$\log_{9} ({(12^{2} \cdot 5)}^{5})$
38867	Expand the Logarithmic Expression	log base 9 of (12^3*7)^6	$\log_{9} ({(12^{3} \cdot 7)}^{6})$
38868	Expand the Logarithmic Expression	( log base 4 of 16)/2	$\frac{\log_{4} (16)}{2}$
38869	Expand the Logarithmic Expression	( natural log of 27 natural log of 9)/( log of 27+ log of 9)	$\frac{\ln (27) \ln (9)}{\log (27) + \log (9)}$
38870	Simplify/Condense	log of log of 100000^(20x)	$\log (\log (100000^{20 x}))$
38871	Simplify/Condense	log of x+ log of x	$\log (x) + \log (x)$
38872	Simplify/Condense	log of x+ log of x^2-169- log of 9- log of x-13	$\log (x) + \log (x^{2} - 169) - \log (9) - \log (x - 13)$
38873	Simplify/Condense	log of x20+ log of x2	$\log (x) \cdot 20 + \log (x) \cdot 2$
38874	Expand the Logarithmic Expression	( log of x^2)/( log of y square root of z)	$\frac{\log (x^{2})}{\log (y \sqrt{z})}$
38875	Expand the Logarithmic Expression	( log base 9 of (a^3b^5)^3)/c	$\frac{\log_{9} ({(a^{3} b^{5})}^{3})}{c}$
38876	Expand the Logarithmic Expression	( natural log of cube root of x-1(3x-2)*4)/(((x+1) square root of x-1)^2)	$\frac{\ln (\sqrt[3]{x - 1 (3 x - 2) \cdot 4})}{{((x + 1) \sqrt{x - 1})}^{2}}$
38877	Expand the Logarithmic Expression	( log of (x-1)^3)/(y^2z)	$\frac{\log ({(x - 1)}^{3})}{y^{2} z}$
38878	Expand the Logarithmic Expression	(- log of 6/68)/0.04	$\frac{- \log (\frac{6}{68})}{0.04}$
38879	Expand the Logarithmic Expression	log base 2 of (12^5*7)^2	$\log_{2} ({(12^{5} \cdot 7)}^{2})$
38880	Expand the Logarithmic Expression	log base 2 of (6/(7^5))^6	$\log_{2} ({(\frac{6}{7^{5}})}^{6})$
38881	Expand the Logarithmic Expression	log base 2 of (a/b)^5	$\log_{2} ({(\frac{a}{b})}^{5})$
38882	Expand the Logarithmic Expression	log base 3 of (x)^7 square root of x-4	$\log_{3} ({(x)}^{7} \sqrt{x - 4})$
38883	Expand the Logarithmic Expression	log base 3 of (xy)^5	$\log_{3} ({(x y)}^{5})$
38884	Expand the Logarithmic Expression	log base 4 of (((x*y)/z)^5)^6	$\log_{4} ({({(\frac{x \cdot y}{z})}^{5})}^{6})$
38885	Expand the Logarithmic Expression	log base 4 of ((x^2-9)/(x^2-6x+8))^(1/3)	$\log_{4} ({(\frac{x^{2} - 9}{x^{2} - 6 x + 8})}^{\frac{1}{3}})$
38886	Expand the Logarithmic Expression	log base 4 of ((5^3)/11)^3	$\log_{4} ({(\frac{5^{3}}{11})}^{3})$
38887	Expand the Logarithmic Expression	log base 4 of ((a^6)/b)^4	$\log_{4} ({(\frac{a^{6}}{b})}^{4})$
38888	Expand the Logarithmic Expression	log base 4 of (1/64)^x	$\log_{4} ({(\frac{1}{64})}^{x})$
38889	Expand the Logarithmic Expression	log base 4 of (x^3y)^3	$\log_{4} ({(x^{3} y)}^{3})$
38890	Expand the Logarithmic Expression	log base 4 of (xy^3)^4	$\log_{4} ({(x y^{3})}^{4})$
38891	Expand the Logarithmic Expression	log base 5 of ((x^2-16)/((x+5)^2))^3	$\log_{5} ({(\frac{x^{2} - 16}{{(x + 5)}^{2}})}^{3})$
38892	Expand the Logarithmic Expression	log base 5 of ((x^3)/y)^6	$\log_{5} ({(\frac{x^{3}}{y})}^{6})$
38893	Expand the Logarithmic Expression	log base 5 of (2^5*11)^3	$\log_{5} ({(2^{5} \cdot 11)}^{3})$
38894	Expand the Logarithmic Expression	log base 5 of (x/(y^6))^4	$\log_{5} ({(\frac{x}{y^{6}})}^{4})$
38895	Expand the Logarithmic Expression	log base 2 of (2x-1)^5	$\log_{2} ({(2 x - 1)}^{5})$
38896	Expand the Logarithmic Expression	log base 2 of (3a)^4	$\log_{2} ({(3 a)}^{4})$
38897	Expand the Logarithmic Expression	( log base 2 of 56+ log base 2 of 7)/(2 log base x of x^2)	$\frac{\log_{2} (56) + \log_{2} (7)}{2 \log_{x} (x^{2})}$
38898	Expand the Logarithmic Expression	log base 2 of (MN)^4	$\log_{2} ({(M N)}^{4})$
38899	Simplify/Condense	1/2* natural log of 3/5	$\frac{1}{2} \cdot \ln (\frac{3}{5})$
38900	Expand the Logarithmic Expression	log base 2 of (a^4*b)^6	$\log_{2} ({(a^{4} \cdot b)}^{6})$