Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36701	Expand the Logarithmic Expression	log base n of x^7	$\log_{n} (x^{7})$
36702	Expand the Logarithmic Expression	log base n of 41	$\log_{n} (41)$
36703	Expand the Logarithmic Expression	natural log of x^5y^6z	$\ln (x^{5} y^{6} z)$
36704	Expand the Logarithmic Expression	natural log of 16x^4(4x+9)^2	$\ln (16 x^{4} {(4 x + 9)}^{2})$
36705	Expand the Logarithmic Expression	natural log of 61	$\ln (61)$
36706	Expand the Logarithmic Expression	log base f of ( square root of ab^2)/(c^4)	$\log_{f} (\frac{\sqrt{a} b^{2}}{c^{4}})$
36707	Expand the Logarithmic Expression	log base f of ( square root of ab^4)/(c^4)	$\log_{f} (\frac{\sqrt{a} b^{4}}{c^{4}})$
36708	Expand the Logarithmic Expression	log base p of 94	$\log_{p} (94)$
36709	Expand the Logarithmic Expression	log base q of fifth root of q	$\log_{q} (\sqrt[5]{q})$
36710	Expand the Logarithmic Expression	log base q of sixth root of q	$\log_{q} (\sqrt[6]{q})$
36711	Expand the Logarithmic Expression	log base r of 3/(2x)	$\log_{r} (\frac{3}{2 x})$
36712	Expand the Logarithmic Expression	log base r of h/7	$\log_{r} (\frac{h}{7})$
36713	Expand the Logarithmic Expression	log base r of h/9	$\log_{r} (\frac{h}{9})$
36714	Expand the Logarithmic Expression	log base t of sixth root of t	$\log_{t} (\sqrt[6]{t})$
36715	Expand the Logarithmic Expression	log base t of 8y	$\log_{t} (8 y)$
36716	Expand the Logarithmic Expression	2 log base 3 of (6x^2)/(4y^3)	$2 \log_{3} (\frac{6 x^{2}}{4 y^{3}})$
36717	Expand the Logarithmic Expression	2 log base 4 of 16+2 log base 4 of x-1/3 log base 4 of x-1	$2 \log_{4} (16) + 2 \log_{4} (x) - \frac{1}{3} \log_{4} (x - 1)$
36718	Expand the Logarithmic Expression	2 log base 6 of 4x	$2 \log_{6} (4 x)$
36719	Expand the Logarithmic Expression	2 log base 6 of 5	$2 \log_{6} (5)$
36720	Expand the Logarithmic Expression	2 log base 7 of (xy^2)/(z^4)	$2 \log_{7} (\frac{x y^{2}}{z^{4}})$
36721	Expand the Logarithmic Expression	2 log base 7 of 3	$2 \log_{7} (3)$
36722	Expand the Logarithmic Expression	2 log base 7 of a+5 log base 7 of b-4 log base 7 of c	$2 \log_{7} (a) + 5 \log_{7} (b) - 4 \log_{7} (c)$
36723	Expand the Logarithmic Expression	2 log base 8 of x^27	$2 \log_{8} (x^{27})$
36724	Expand the Logarithmic Expression	2 log base 9 of fifth root of 81	$2 \log_{9} (\sqrt[5]{81})$
36725	Expand the Logarithmic Expression	2 log base b of 0.8271	$2 \log_{b} (0.8271)$
36726	Expand the Logarithmic Expression	2+ log base 5 of 48	$2 + \log_{5} (48)$
36727	Expand the Logarithmic Expression	20 log of square root of x square root of z	$20 \log (\sqrt{x \sqrt{z}})$
36728	Expand the Logarithmic Expression	20x log of 118	$20 x \log (118)$
36729	Expand the Logarithmic Expression	2 natural log of 5e^3xy^-1z^2	$2 \ln (5 e^{3} x y^{- 1} z^{2})$
36730	Expand the Logarithmic Expression	2-( log of 71)/( log of 8)	$2 - \frac{\log (71)}{\log (8)}$
36731	Expand the Logarithmic Expression	2 log base 2 of (x^4)/(w^5)	$2 \log_{2} (\frac{x^{4}}{w^{5}})$
36732	Expand the Logarithmic Expression	2 log base 2 of 25	$2 \log_{2} (25)$
36733	Expand the Logarithmic Expression	2 log base 2 of 6x	$2 \log_{2} (6 x)$
36734	Expand the Logarithmic Expression	log base x of 58	$\log_{x} (58)$
36735	Expand the Logarithmic Expression	log base x of 67	$\log_{x} (67)$
36736	Expand the Logarithmic Expression	log base x of 75=2	$\log_{x} (75) = 2$
36737	Expand the Logarithmic Expression	log base x of 79	$\log_{x} (79)$
36738	Expand the Logarithmic Expression	2(2 natural log of x- natural log of x+x- natural log of x-1)	$2 (2 \ln (x) - \ln (x + x) - \ln (x - 1))$
36739	Expand the Logarithmic Expression	log base x of 8=3	$\log_{x} (8) = 3$
36740	Expand the Logarithmic Expression	log base x of 9yz	$\log_{x} (9 y z)$
36741	Expand the Logarithmic Expression	log base z of 81	$\log_{z} (81)$
36742	Expand the Logarithmic Expression	sin(25)^2tan(90) log of 2	$\sin^{2} (25) \tan (90) \log (2)$
36743	Expand the Logarithmic Expression	square root of natural log of (e)^144	$\sqrt{\ln ({(e)}^{144})}$
36744	Expand the Logarithmic Expression	square root of natural log of x-3	$\sqrt{\ln (x - 3)}$
36745	Expand the Logarithmic Expression	square root of natural log of e^49	$\sqrt{\ln (e^{49})}$
36746	Expand the Logarithmic Expression	log base v of (17w)/u	$\log_{v} (\frac{17 w}{u})$
36747	Expand the Logarithmic Expression	log base w of (13x)/4	$\log_{w} (\frac{13 x}{4})$
36748	Expand the Logarithmic Expression	log base w of (11x)/5	$\log_{w} (\frac{11 x}{5})$
36749	Expand the Logarithmic Expression	log base x of 1/(x^2)	$\log_{x} (\frac{1}{x^{2}})$
36750	Expand the Logarithmic Expression	log base x of 25/9	$\log_{x} (\frac{25}{9})$
36751	Expand the Logarithmic Expression	log base x of square root of 57/74	$\log_{x} (\sqrt{\frac{57}{74}})$
36752	Expand the Logarithmic Expression	log base x of square root of (x^4y^6)/(z^8)	$\log_{x} (\sqrt{\frac{x^{4} y^{6}}{z^{8}}})$
36753	Expand the Logarithmic Expression	log base x of w^3y^2z	$\log_{x} (w^{3} y^{2} z)$
36754	Expand the Logarithmic Expression	log base x of yz^9	$\log_{x} (y z^{9})$
36755	Expand the Logarithmic Expression	log base p of 42	$\log_{p} (42)$
36756	Expand the Logarithmic Expression	log base p of 47	$\log_{p} (47)$
36757	Expand the Logarithmic Expression	log base p of 77	$\log_{p} (77)$
36758	Expand the Logarithmic Expression	log base d of x^3y^7z	$\log_{d} (x^{3} y^{7} z)$
36759	Expand the Logarithmic Expression	log base d of x^4y^9z	$\log_{d} (x^{4} y^{9} z)$
36760	Expand the Logarithmic Expression	natural log of e^(0.05y)	$\ln (e^{0.05 y})$
36761	Expand the Logarithmic Expression	x^( log base x of 72)	$x^{\log_{x} (72)}$
36762	Expand the Logarithmic Expression	x^5e^(-3 natural log of x)	$x^{5} e^{- 3 \ln (x)}$
36763	Expand the Logarithmic Expression	0.5x natural log of e	$0.5 x \ln (e)$
36764	Expand the Logarithmic Expression	1+ log base a of 1/b	$1 + \log_{a} (\frac{1}{b})$
36765	Expand the Logarithmic Expression	10 log base 12 of 7-3n-4	$10 \log_{12} (7 - 3 n) - 4$
36766	Expand the Logarithmic Expression	10 log base 3 of fifth root of y	$10 \log_{3} (\sqrt[5]{y})$
36767	Expand the Logarithmic Expression	10 log base 6 of fifth root of y	$10 \log_{6} (\sqrt[5]{y})$
36768	Expand the Logarithmic Expression	10 log of 10^124.810^8	$10 \log (10^{12} \cdot 4.8 \cdot 10^{8})$
36769	Expand the Logarithmic Expression	10 log of a/(10^-16)-10 log of V/(10^-16)	$10 \log (\frac{a}{10^{- 16}}) - 10 \log (\frac{V}{10^{- 16}})$
36770	Expand the Logarithmic Expression	10 log of 10 80/10	$10 \log (10 \frac{80}{10})$
36771	Expand the Logarithmic Expression	10 log of 100	$10 \log (100)$
36772	Expand the Logarithmic Expression	10 log of 53	$10 \log (53)$
36773	Expand the Logarithmic Expression	12 log base 9 of fourth root of y	$12 \log_{9} (\sqrt[4]{y})$
36774	Expand the Logarithmic Expression	14 log base 6 of y	$14 \log_{6} (y)$
36775	Expand the Logarithmic Expression	16 log base 3 of 2	$16 \log_{3} (2)$
36776	Expand the Logarithmic Expression	19 log of (3 square root of m)/n	$19 \log (\frac{3 \sqrt{m}}{n})$
36777	Expand the Logarithmic Expression	1nx-3 natural log of x+1	$1 n x - 3 \ln (x + 1)$
36778	Expand the Logarithmic Expression	log base b of cube root of (x+3)/x	$\log_{b} (\sqrt[3]{\frac{x + 3}{x}})$
36779	Expand the Logarithmic Expression	log base b of cube root of (x^4)/(y^3z^2)	$\log_{b} (\sqrt[3]{\frac{x^{4}}{y^{3} z^{2}}})$
36780	Expand the Logarithmic Expression	log base b of cube root of (x^2)/(y^4z^7)	$\log_{b} (\sqrt[3]{\frac{x^{2}}{y^{4} z^{7}}})$
36781	Expand the Logarithmic Expression	log base b of cube root of (x^4y^2)/(z^5)	$\log_{b} (\sqrt[3]{\frac{x^{4} y^{2}}{z^{5}}})$
36782	Expand the Logarithmic Expression	log base b of cube root of (x^5y^8)/(z^2)	$\log_{b} (\sqrt[3]{\frac{x^{5} y^{8}}{z^{2}}})$
36783	Expand the Logarithmic Expression	log base b of cube root of 3b	$\log_{b} (\sqrt[3]{3 b})$
36784	Expand the Logarithmic Expression	log base b of fourth root of (m^16n^8)/(b^7)	$\log_{b} (\sqrt[4]{\frac{m^{16} n^{8}}{b^{7}}})$
36785	Expand the Logarithmic Expression	log base b of fourth root of (x^5b^6)/(y^4z^10)	$\log_{b} (\sqrt[4]{\frac{x^{5} b^{6}}{y^{4} z^{10}}})$
36786	Expand the Logarithmic Expression	log base b of fourth root of (x^5(y^2))/(w^2)	$\log_{b} (\sqrt[4]{\frac{x^{5} (y^{2})}{w^{2}}})$
36787	Expand the Logarithmic Expression	log base b of fourth root of 735	$\log_{b} (\sqrt[4]{735})$
36788	Expand the Logarithmic Expression	log base b of square root of 4/125	$\log_{b} (\sqrt{\frac{4}{125}})$
36789	Expand the Logarithmic Expression	log base b of square root of 8/125	$\log_{b} (\sqrt{\frac{8}{125}})$
36790	Expand the Logarithmic Expression	log base b of square root of b^3	$\log_{b} (\sqrt{b^{3}})$
36791	Expand the Logarithmic Expression	log base b of b^4	$\log_{b} (b^{4})$
36792	Expand the Logarithmic Expression	log base b of e^2* natural log of b^2	$\log_{b} (e^{2}) \cdot \ln (b^{2})$
36793	Find the Focus	x^2=24y	$x^{2} = 24 y$
36794	Expand the Logarithmic Expression	log base b of seventh root of b	$\log_{b} (\sqrt[7]{b})$
36795	Expand the Logarithmic Expression	log base b of ( square root of x^5(y^2))/(z^9)	$\log_{b} (\frac{\sqrt{x^{5}} (y^{2})}{z^{9}})$
36796	Expand the Logarithmic Expression	log base b of square root of 35	$\log_{b} (\sqrt{35})$
36797	Expand the Logarithmic Expression	log base b of y^5x	$\log_{b} (y^{5} x)$
36798	Expand the Logarithmic Expression	log base b of y^6x	$\log_{b} (y^{6} x)$
36799	Expand the Logarithmic Expression	log base b of yz^2	$\log_{b} (y z^{2})$
36800	Expand the Logarithmic Expression	log base b of yz^3	$\log_{b} (y z^{3})$