Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36601	Expand the Logarithmic Expression	natural log of (e^4)/t	$\ln (\frac{e^{4}}{t})$
36602	Expand the Logarithmic Expression	natural log of (e^5)/10	$\ln (\frac{e^{5}}{10})$
36603	Expand the Logarithmic Expression	natural log of (e^5)/12	$\ln (\frac{e^{5}}{12})$
36604	Expand the Logarithmic Expression	natural log of (e^5)/3	$\ln (\frac{e^{5}}{3})$
36605	Expand the Logarithmic Expression	natural log of (e^5)/6	$\ln (\frac{e^{5}}{6})$
36606	Expand the Logarithmic Expression	natural log of (e^5)/7	$\ln (\frac{e^{5}}{7})$
36607	Expand the Logarithmic Expression	natural log of (e^5)/8	$\ln (\frac{e^{5}}{8})$
36608	Expand the Logarithmic Expression	natural log of (e^5)/r	$\ln (\frac{e^{5}}{r})$
36609	Expand the Logarithmic Expression	natural log of (e^6)/3	$\ln (\frac{e^{6}}{3})$
36610	Expand the Logarithmic Expression	natural log of (e^6)/4	$\ln (\frac{e^{6}}{4})$
36611	Expand the Logarithmic Expression	natural log of (e^6)/6	$\ln (\frac{e^{6}}{6})$
36612	Expand the Logarithmic Expression	natural log of (x^2 fourth root of (x-1)^3)/((x+16)^3 fifth root of 2-x)	$\ln (\frac{x^{2} \sqrt[4]{{(x - 1)}^{3}}}{{(x + 16)}^{3} \sqrt[5]{2 - x}})$
36613	Expand the Logarithmic Expression	natural log of (x^2y^(3/4))/z	$\ln (\frac{x^{2} y^{\frac{3}{4}}}{z})$
36614	Expand the Logarithmic Expression	natural log of (x^2y^3)/(z^4)	$\ln (\frac{x^{2} y^{3}}{z^{4}})$
36615	Expand the Logarithmic Expression	natural log of (x^2)/( square root of 1+x^2)	$\ln (\frac{x^{2}}{\sqrt{1 + x^{2}}})$
36616	Expand the Logarithmic Expression	natural log of (x^2)/( square root of 3x+2)	$\ln (\frac{x^{2}}{\sqrt{3 x + 2}})$
36617	Expand the Logarithmic Expression	natural log of (e^8)/8	$\ln (\frac{e^{8}}{8})$
36618	Expand the Logarithmic Expression	natural log of (e^8)/r	$\ln (\frac{e^{8}}{r})$
36619	Expand the Logarithmic Expression	natural log of (e^9)/2	$\ln (\frac{e^{9}}{2})$
36620	Expand the Logarithmic Expression	natural log of (e^9)/3	$\ln (\frac{e^{9}}{3})$
36621	Expand the Logarithmic Expression	natural log of (e^9)/8	$\ln (\frac{e^{9}}{8})$
36622	Expand the Logarithmic Expression	natural log of (e^7)/15	$\ln (\frac{e^{7}}{15})$
36623	Write in Standard Form	4x^2+3y^2-2x+5y-60=0	$4 x^{2} + 3 y^{2} - 2 x + 5 y - 60 = 0$
36624	Expand the Logarithmic Expression	natural log of ( cube root of x)/( cube root of y)	$\ln (\frac{\sqrt[3]{x}}{\sqrt[3]{y}})$
36625	Expand the Logarithmic Expression	natural log of ( cube root of x)/(10 square root of yz)	$\ln (\frac{\sqrt[3]{x}}{10 \sqrt{y z}})$
36626	Expand the Logarithmic Expression	natural log of ( cube root of x-4)/(y^2)	$\ln (\frac{\sqrt[3]{x - 4}}{y^{2}})$
36627	Expand the Logarithmic Expression	natural log of ( cube root of xy)/(t^(5/3))	$\ln (\frac{\sqrt[3]{x y}}{t^{\frac{5}{3}}})$
36628	Expand the Logarithmic Expression	natural log of ( fourth root of x^3w^5)/(y^9)	$\ln (\frac{\sqrt[4]{x^{3} w^{5}}}{y^{9}})$
36629	Expand the Logarithmic Expression	natural log of ( fourth root of xy)/(ez)	$\ln (\frac{\sqrt[4]{x y}}{e z})$
36630	Expand the Logarithmic Expression	natural log of ( fifth root of 4x^(2-1))/(4x^(2+1))	$\ln (\frac{\sqrt[5]{4 x^{2 - 1}}}{4 x^{2 + 1}})$
36631	Expand the Logarithmic Expression	natural log of ( fifth root of x(3x+1)^4)/(3(x-2)e^(5x-7))	$\ln (\frac{\sqrt[5]{x} {(3 x + 1)}^{4}}{3 (x - 2) e^{5 x - 7}})$
36632	Expand the Logarithmic Expression	natural log of (x^(1/2))/(x^2 square root of 1+x^2)	$\ln (\frac{x^{\frac{1}{2}}}{x^{2} \sqrt{1 + x^{2}}})$
36633	Expand the Logarithmic Expression	natural log of (x^(2 square root of 3x-2))/((x+1)^2)	$\ln (\frac{x^{2 \sqrt{3 x - 2}}}{{(x + 1)}^{2}})$
36634	Expand the Logarithmic Expression	log base 9 of ( square root of 9x^7)/y	$\log_{9} (\frac{\sqrt{9 x^{7}}}{y})$
36635	Expand the Logarithmic Expression	natural log of (x^2 square root of 2x-1)/((2x+1)^(3/2))	$\ln (\frac{x^{2} \sqrt{2 x - 1}}{{(2 x + 1)}^{\frac{3}{2}}})$
36636	Expand the Logarithmic Expression	natural log of (x^4y^6)/(z^9)	$\ln (\frac{x^{4} y^{6}}{z^{9}})$
36637	Expand the Logarithmic Expression	natural log of (x^4y^7)/(z^8)	$\ln (\frac{x^{4} y^{7}}{z^{8}})$
36638	Expand the Logarithmic Expression	natural log of (x^4)/(y^2z^3)	$\ln (\frac{x^{4}}{y^{2} z^{3}})$
36639	Expand the Logarithmic Expression	natural log of (x^4)/(z^5)* square root of y	$\ln (\frac{x^{4}}{z^{5}} \cdot \sqrt{y})$
36640	Expand the Logarithmic Expression	natural log of (x^5 square root of x-2)/(9x+7)	$\ln (\frac{x^{5} \sqrt{x - 2}}{9 x + 7})$
36641	Expand the Logarithmic Expression	natural log of (x^5y^2)/(z^3w^-7)	$\ln (\frac{x^{5} y^{2}}{z^{3} w^{- 7}})$
36642	Expand the Logarithmic Expression	natural log of (x^7y^6)/3	$\ln (\frac{x^{7} y^{6}}{3})$
36643	Expand the Logarithmic Expression	natural log of (x^7y^8)/(z^6)	$\ln (\frac{x^{7} y^{8}}{z^{6}})$
36644	Expand the Logarithmic Expression	natural log of (x^8 square root of x^2+1)/((x+1)^2)	$\ln (\frac{x^{8} \sqrt{x^{2} + 1}}{{(x + 1)}^{2}})$
36645	Expand the Logarithmic Expression	natural log of (x^8 square root of x^2+8)/((x+8)^2)	$\ln (\frac{x^{8} \sqrt{x^{2} + 8}}{{(x + 8)}^{2}})$
36646	Expand the Logarithmic Expression	natural log of (x^8 square root of x^2+9)/((x+9)^2)	$\ln (\frac{x^{8} \sqrt{x^{2} + 9}}{{(x + 9)}^{2}})$
36647	Expand the Logarithmic Expression	natural log of (xy^2)/( square root of z)	$\ln (\frac{x y^{2}}{\sqrt{z}})$
36648	Expand the Logarithmic Expression	natural log of (xy^4)/( square root of y-1)	$\ln (\frac{x y^{4}}{\sqrt{y - 1}})$
36649	Expand the Logarithmic Expression	log base b of 45	$\log_{b} (45)$
36650	Expand the Logarithmic Expression	log base b of 48	$\log_{b} (48)$
36651	Expand the Logarithmic Expression	log base b of 49	$\log_{b} (49)$
36652	Expand the Logarithmic Expression	log base b of 64	$\log_{b} (64)$
36653	Expand the Logarithmic Expression	log base b of 8xy	$\log_{b} (8) x y$
36654	Expand the Logarithmic Expression	log base b of ab=12	$\log_{b} (a b) = 12$
36655	Expand the Logarithmic Expression	log base c of x^2y^7z	$\log_{c} (x^{2} y^{7} z)$
36656	Expand the Logarithmic Expression	log base b of 2x^2	$\log_{b} (2 x^{2})$
36657	Expand the Logarithmic Expression	log base b of 216b	$\log_{b} (216 b)$
36658	Expand the Logarithmic Expression	log base b of x+ log base b of x+3- log base b of 12	$\log_{b} (x) + \log_{b} (x + 3) - \log_{b} (12)$
36659	Expand the Logarithmic Expression	log base c of 4/c	$\log_{c} (\frac{4}{c})$
36660	Expand the Logarithmic Expression	log base c of (8x^5)/(y^4)	$\log_{c} (\frac{8 x^{5}}{y^{4}})$
36661	Expand the Logarithmic Expression	log base c of u^6v^5	$\log_{c} (u^{6} v^{5})$
36662	Expand the Logarithmic Expression	log base c of square root of x^3y^2z^5	$\log_{c} (\sqrt{x^{3} y^{2} z^{5}})$
36663	Expand the Logarithmic Expression	log base c of fourth root of (m^16n^20)/(c^3)	$\log_{c} (\sqrt[4]{\frac{m^{16} n^{20}}{c^{3}}})$
36664	Expand the Logarithmic Expression	log base c of sixth root of c	$\log_{c} (\sqrt[6]{c})$
36665	Expand the Logarithmic Expression	log base c of ninth root of c	$\log_{c} (\sqrt[9]{c})$
36666	Expand the Logarithmic Expression	log base b of 28	$\log_{b} (28)$
36667	Expand the Logarithmic Expression	log base b of 3b^4	$\log_{b} (3 b^{4})$
36668	Expand the Logarithmic Expression	log base b of 3125	$\log_{b} (3125)$
36669	Expand the Logarithmic Expression	log base b of 16	$\log_{b} (16)$
36670	Expand the Logarithmic Expression	log base b of 162	$\log_{b} (162)$
36671	Expand the Logarithmic Expression	log base b of 108	$\log_{b} (108)$
36672	Expand the Logarithmic Expression	log base b of z^5y	$\log_{b} (z^{5} y)$
36673	Expand the Logarithmic Expression	log base b of z^2y	$\log_{b} (z^{2} y)$
36674	Expand the Logarithmic Expression	log base b of y^3z	$\log_{b} (y^{3} z)$
36675	Expand the Logarithmic Expression	log base b of yz^9	$\log_{b} (y z^{9})$
36676	Expand the Logarithmic Expression	log base b of xy^6	$\log_{b} (x y^{6})$
36677	Expand the Logarithmic Expression	log base g of ( square root of ab^5)/(c^8)	$\log_{g} (\frac{\sqrt{a} b^{5}}{c^{8}})$
36678	Expand the Logarithmic Expression	log base g of ( square root of ab^7)/(c^7)	$\log_{g} (\frac{\sqrt{a} b^{7}}{c^{7}})$
36679	Expand the Logarithmic Expression	log base g of ( square root of xy^8)/(z^2)	$\log_{g} (\frac{\sqrt{x} y^{8}}{z^{2}})$
36680	Expand the Logarithmic Expression	log base g of M/24	$\log_{g} (\frac{M}{24})$
36681	Expand the Logarithmic Expression	log base g of m/49	$\log_{g} (\frac{m}{49})$
36682	Expand the Logarithmic Expression	log base h of ( square root of xy^3)/(z^3)	$\log_{h} (\frac{\sqrt{x y^{3}}}{z^{3}})$
36683	Expand the Logarithmic Expression	log base h of 9/2	$\log_{h} (\frac{9}{2})$
36684	Expand the Logarithmic Expression	log base k of square root of k	$\log_{k} (\sqrt{k})$
36685	Expand the Logarithmic Expression	log base m of ( square root of 2r^7)/(z^3)	$\log_{m} (\frac{\sqrt{2 r^{7}}}{z^{3}})$
36686	Expand the Logarithmic Expression	log base m of ( cube root of x^2y^5)/(z^7)	$\log_{m} (\frac{\sqrt[3]{x^{2} y^{5}}}{z^{7}})$
36687	Expand the Logarithmic Expression	log base m of ab^2 square root of c^3	$\log_{m} (a b^{2} \sqrt{c^{3}})$
36688	Expand the Logarithmic Expression	log base m of square root of ((n+2)^4)/m	$\log_{m} (\sqrt{\frac{{(n + 2)}^{4}}{m}})$
36689	Expand the Logarithmic Expression	log base m of square root of (2r^3)/(z^5)	$\log_{m} (\sqrt{\frac{2 r^{3}}{z^{5}}})$
36690	Expand the Logarithmic Expression	log base m of square root of (A^3B)/C	$\log_{m} (\sqrt{\frac{A^{3} B}{C}})$
36691	Expand the Logarithmic Expression	log base m of square root of (5r^3)/(z^5)	$\log_{m} (\sqrt{\frac{5 r^{3}}{z^{5}}})$
36692	Expand the Logarithmic Expression	log base m of square root of (7r^5)/(z^7)	$\log_{m} (\sqrt{\frac{7 r^{5}}{z^{7}}})$
36693	Expand the Logarithmic Expression	log base c of x^3y^4z	$\log_{c} (x^{3} y^{4} z)$
36694	Expand the Logarithmic Expression	log base c of x^9y^3z	$\log_{c} (x^{9} y^{3} z)$
36695	Expand the Logarithmic Expression	log base c of x^9y^5z	$\log_{c} (x^{9} y^{5} z)$
36696	Expand the Logarithmic Expression	log base c of x^9y^6z	$\log_{c} (x^{9} y^{6} z)$
36697	Expand the Logarithmic Expression	log base d of ( square root of ab^3)/(c^9)	$\log_{d} (\frac{\sqrt{a} b^{3}}{c^{9}})$
36698	Expand the Logarithmic Expression	log base d of ( square root of ab^7)/(c^8)	$\log_{d} (\frac{\sqrt{a} b^{7}}{c^{8}})$
36699	Expand the Logarithmic Expression	log base d of u^9v^8	$\log_{d} (u^{9} v^{8})$
36700	Expand the Logarithmic Expression	log base n of 4/n	$\log_{n} (\frac{4}{n})$