Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37201	Expand the Logarithmic Expression	log of (x(x^2+1))/( square root of x^2-1)	$\log (\frac{x (x^{2} + 1)}{\sqrt{x^{2} - 1}})$
37202	Expand the Logarithmic Expression	log of x/( cube root of 1-x)	$\log (\frac{x}{\sqrt[3]{1 - x}})$
37203	Expand the Logarithmic Expression	log of x/( sixth root of 7-x)	$\log (\frac{x}{\sqrt[6]{7 - x}})$
37204	Expand the Logarithmic Expression	log of cube root of 100	$\log (\sqrt[3]{100})$
37205	Expand the Logarithmic Expression	log of cube root of 6xyz^2	$\log (\sqrt[3]{6 x y z^{2}})$
37206	Expand the Logarithmic Expression	log of x/9	$\log (\frac{x}{9})$
37207	Expand the Logarithmic Expression	log base n of cube root of (5x^8)/(z^2)	$\log_{n} (\sqrt[3]{\frac{5 x^{8}}{z^{2}}})$
37208	Expand the Logarithmic Expression	log of x^19 square root of (y^13)/(z^19)	$\log (x^{19} \sqrt{\frac{y^{13}}{z^{19}}})$
37209	Expand the Logarithmic Expression	log of fourth root of x^3(x^2+3)	$\log (\sqrt[4]{x^{3} (x^{2} + 3)})$
37210	Expand the Logarithmic Expression	log of fifth root of (a-6)/(4a)	$\log (\sqrt[5]{\frac{a - 6}{4 a}})$
37211	Expand the Logarithmic Expression	log of fifth root of xy^6	$\log (\sqrt[5]{x y^{6}})$
37212	Expand the Logarithmic Expression	log of fifth root of x square root of yz	$\log (\sqrt[5]{x \sqrt{y z}})$
37213	Expand the Logarithmic Expression	log of (y^3(( cube root of z+3)^5))/x	$\log (\frac{y^{3} ({(\sqrt[3]{z + 3})}^{5})}{x})$
37214	Expand the Logarithmic Expression	log of y^3 cube root of ((x+3)^8)/z	$\log (y^{3} \sqrt[3]{\frac{{(x + 3)}^{8}}{z}})$
37215	Expand the Logarithmic Expression	log of y^3x	$\log (y^{3} x)$
37216	Expand the Logarithmic Expression	log of y^4 square root of x^9z	$\log (y^{4} \sqrt{x^{9} z})$
37217	Expand the Logarithmic Expression	log of y^5 square root of xz^5	$\log (y^{5} \sqrt{x z^{5}})$
37218	Expand the Logarithmic Expression	log of y^5 square root of xz^9	$\log (y^{5} \sqrt{x z^{9}})$
37219	Expand the Logarithmic Expression	log of y^5 square root of x	$\log (y^{5} \sqrt{x})$
37220	Expand the Logarithmic Expression	log of y^58	$\log (y^{58})$
37221	Expand the Logarithmic Expression	log of y^7z	$\log (y^{7} z)$
37222	Expand the Logarithmic Expression	log of y^8x	$\log (y^{8} x)$
37223	Expand the Logarithmic Expression	log of y^8z	$\log (y^{8} z)$
37224	Expand the Logarithmic Expression	log of yx^4	$\log (y x^{4})$
37225	Expand the Logarithmic Expression	log of yx^5z^3	$\log (y x^{5} z^{3})$
37226	Expand the Logarithmic Expression	log of x^5y^2z^2	$\log (x^{5} y^{2} z^{2})$
37227	Expand the Logarithmic Expression	log of x^6z	$\log (x^{6} z)$
37228	Expand the Logarithmic Expression	log of x^60	$\log (x^{60})$
37229	Expand the Logarithmic Expression	log of x^7y	$\log (x^{7} y)$
37230	Expand the Logarithmic Expression	log of x^7z	$\log (x^{7} z)$
37231	Expand the Logarithmic Expression	log of x^8y	$\log (x^{8} y)$
37232	Expand the Logarithmic Expression	log of x^9z	$\log (x^{9} z)$
37233	Expand the Logarithmic Expression	log of (x+7)/(x^76)	$\log (\frac{x + 7}{x^{76}})$
37234	Expand the Logarithmic Expression	log of (x+y)/(2x)	$\log (\frac{x + y}{2 x})$
37235	Expand the Logarithmic Expression	log of xb^2	$\log (x b^{2})$
37236	Expand the Logarithmic Expression	log of (xy)/(x-2)	$\log (\frac{x y}{x - 2})$
37237	Expand the Logarithmic Expression	log of x/(z^5)	$\log (\frac{x}{z^{5}})$
37238	Expand the Logarithmic Expression	log of x/(z^8)	$\log (\frac{x}{z^{8}})$
37239	Expand the Logarithmic Expression	log of (x^2y)/( square root of z)	$\log (\frac{x^{2} y}{\sqrt{z}})$
37240	Expand the Logarithmic Expression	( log of x^(3 square root of y))÷(z^5)	$\log (x^{3 \sqrt{y}}) \div z^{5}$
37241	Expand the Logarithmic Expression	log of x^3z	$\log (x^{3} z)$
37242	Expand the Logarithmic Expression	log of x^-4	$\log (x^{- 4})$
37243	Expand the Logarithmic Expression	log of x^4 cube root of (y^2)/z	$\log (x^{4}) \sqrt[3]{\frac{y^{2}}{z}}$
37244	Expand the Logarithmic Expression	log of x^4y	$\log (x^{4}) y$
37245	Expand the Logarithmic Expression	log of x^4 square root of zy^3	$\log (x^{4} \sqrt{z y^{3}})$
37246	Expand the Logarithmic Expression	log of x^5*y^3	$\log (x^{5} \cdot y^{3})$
37247	Expand the Logarithmic Expression	log of x^3z^5y	$\log (x^{3} z^{5} y)$
37248	Expand the Logarithmic Expression	natural log of x^5	$\ln (x^{5})$
37249	Expand the Logarithmic Expression	natural log of x^5*(5 natural log of x)	$\ln (x^{5}) \cdot (5 \ln (x))$
37250	Expand the Logarithmic Expression	natural log of x^5y^3	$\ln (x^{5} y^{3})$
37251	Expand the Logarithmic Expression	natural log of x^5y^4	$\ln (x^{5} y^{4})$
37252	Expand the Logarithmic Expression	natural log of x^5y^7z	$\ln (x^{5} y^{7} z)$
37253	Expand the Logarithmic Expression	natural log of x^(6 ninth root of y^6)	$\ln (x^{6 \sqrt[9]{y^{6}}})$
37254	Expand the Logarithmic Expression	natural log of x^6-3 natural log of cube root of x^2	$\ln (x^{6}) - 3 \ln (\sqrt[3]{x^{2}})$
37255	Expand the Logarithmic Expression	natural log of x^3y^4	$\ln (x^{3} y^{4})$
37256	Graph	4y^2+18=96x	$4 y^{2} + 18 = 96 x$
37257	Expand the Logarithmic Expression	natural log of x^8 cube root of y^4	$\ln (x^{8} \sqrt[3]{y^{4}})$
37258	Expand the Logarithmic Expression	natural log of x^9y^5	$\ln (x^{9} y^{5})$
37259	Expand the Logarithmic Expression	natural log of x^2-8x	$\ln (x^{2} - 8 x)$
37260	Expand the Logarithmic Expression	natural log of (x^3 square root of x^2+9)/((x+9)^9)	$\ln (\frac{x^{3} \sqrt{x^{2} + 9}}{{(x + 9)}^{9}})$
37261	Expand the Logarithmic Expression	natural log of x^2 square root of 1-x	$\ln (x^{2} \sqrt{1 - x})$
37262	Expand the Logarithmic Expression	natural log of x^2 square root of 2-x	$\ln (x^{2} \sqrt{2 - x})$
37263	Expand the Logarithmic Expression	natural log of (x^2y)/(z^7)	$\ln (\frac{x^{2} y}{z^{7}})$
37264	Expand the Logarithmic Expression	natural log of x^(2/3)y^(4/3)	$\ln (x^{\frac{2}{3}} y^{\frac{4}{3}})$
37265	Expand the Logarithmic Expression	natural log of x^13 square root of 5-x	$\ln (x^{13} \sqrt{5 - x})$
37266	Expand the Logarithmic Expression	natural log of x^14 square root of 6-x	$\ln (x^{14} \sqrt{6 - x})$
37267	Expand the Logarithmic Expression	natural log of x/(x-6)+ natural log of x+6/x- natural log of x^2-36	$\ln (\frac{x}{x - 6}) + \ln (x + \frac{6}{x}) - \ln (x^{2} - 36)$
37268	Expand the Logarithmic Expression	natural log of x/(x-8)+ natural log of (x+8)/x- natural log of x^2-64	$\ln (\frac{x}{x - 8}) + \ln (\frac{x + 8}{x}) - \ln (x^{2} - 64)$
37269	Expand the Logarithmic Expression	natural log of x/(xy)	$\ln (\frac{x}{x y})$
37270	Expand the Logarithmic Expression	natural log of x/(e^(9x))	$\ln (\frac{x}{e^{9 x}})$
37271	Expand the Logarithmic Expression	natural log of x/(e^(3x))	$\ln (\frac{x}{e^{3 x}})$
37272	Expand the Logarithmic Expression	natural log of (x fourth root of y)/(2^5)	$\ln (\frac{x \sqrt[4]{y}}{2^{5}})$
37273	Expand the Logarithmic Expression	natural log of (x seventh root of x^2+3)/((x+3)^3)	$\ln (\frac{x \sqrt[7]{x^{2} + 3}}{{(x + 3)}^{3}})$
37274	Expand the Logarithmic Expression	natural log of x/( cube root of x^(2-3))	$\ln (\frac{x}{\sqrt[3]{x^{2 - 3}}})$
37275	Expand the Logarithmic Expression	natural log of fourth root of 3- natural log of 9	$\ln (\sqrt[4]{3}) - \ln (9)$
37276	Expand the Logarithmic Expression	natural log of fourth root of 6r^5s	$\ln (\sqrt[4]{6 r^{5} s})$
37277	Expand the Logarithmic Expression	natural log of cube root of z+1	$\ln (\sqrt[3]{z + 1})$
37278	Expand the Logarithmic Expression	natural log of fourth root of (x^7)/(y^5z)	$\ln (\sqrt[4]{\frac{x^{7}}{y^{5} z}})$
37279	Expand the Logarithmic Expression	natural log of fourth root of (3(2x+1))/((2(x-5))(8(x^2+1)))	$\ln (\sqrt[4]{\frac{3 (2 x + 1)}{(2 (x - 5)) (8 (x^{2} + 1))}})$
37280	Expand the Logarithmic Expression	natural log of fourth root of wr^2	$\ln (\sqrt[4]{w r^{2}})$
37281	Expand the Logarithmic Expression	natural log of fourth root of x^3(x^2+3)	$\ln (\sqrt[4]{x^{3} (x^{2} + 3)})$
37282	Expand the Logarithmic Expression	natural log of cube root of x^2-1	$\ln (\sqrt[3]{x^{2} - 1})$
37283	Expand the Logarithmic Expression	natural log of cube root of x^3y	$\ln (\sqrt[3]{x^{3} y})$
37284	Expand the Logarithmic Expression	natural log of cube root of x^5	$\ln (\sqrt[3]{x^{5}})$
37285	Expand the Logarithmic Expression	natural log of cube root of 10x^2	$\ln (\sqrt[3]{10 x^{2}})$
37286	Expand the Logarithmic Expression	natural log of cube root of 10	$\ln (\sqrt[3]{10})$
37287	Expand the Logarithmic Expression	natural log of cube root of 2xy	$\ln (\sqrt[3]{2 x y})$
37288	Expand the Logarithmic Expression	natural log of cube root of e^2x	$\ln (\sqrt[3]{e^{2} x})$
37289	Expand the Logarithmic Expression	natural log of cube root of e^3x	$\ln (\sqrt[3]{e^{3} x})$
37290	Expand the Logarithmic Expression	natural log of cube root of 3x^2y	$\ln (\sqrt[3]{3 x^{2} y})$
37291	Expand the Logarithmic Expression	natural log of eighth root of ey	$\ln (\sqrt[8]{e y})$
37292	Expand the Logarithmic Expression	natural log of ninth root of 3r^8s	$\ln (\sqrt[9]{3 r^{8} s})$
37293	Expand the Logarithmic Expression	natural log of sixth root of (xy)/(ez)	$\ln (\sqrt[6]{\frac{x y}{e z}})$
37294	Expand the Logarithmic Expression	natural log of sixth root of 10	$\ln (\sqrt[6]{10})$
37295	Expand the Logarithmic Expression	natural log of sixth root of ey	$\ln (\sqrt[6]{e y})$
37296	Expand the Logarithmic Expression	natural log of sixth root of xy	$\ln (\sqrt[6]{x y})$
37297	Expand the Logarithmic Expression	natural log of cube root of uvw	$\ln (\sqrt[3]{u \cdot v \cdot w})$
37298	Expand the Logarithmic Expression	natural log of fifth root of 55	$\ln (\sqrt[5]{55})$
37299	Expand the Logarithmic Expression	natural log of fifth root of 6r^5s	$\ln (\sqrt[5]{6 r^{5} s})$
37300	Expand the Logarithmic Expression	natural log of fifth root of 10	$\ln (\sqrt[5]{10})$