Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21901	Simplify/Condense	log base 2 of (8x)^(1/3)	$\log_{2} ({(8 x)}^{\frac{1}{3}})$
21902	Simplify/Condense	log base 4 of (4)^6	$\log_{4} ({(4)}^{6})$
21903	Convert to Rectangular Coordinates	(9,(2pi)/3)	$(9, \frac{2 π}{3})$
21904	Convert to Rectangular Coordinates	(-9,(4pi)/3)	$(- 9, \frac{4 π}{3})$
21905	Convert to Rectangular Coordinates	(8,(2pi)/3)	$(8, \frac{2 π}{3})$
21906	Convert to Rectangular Coordinates	(8.3,4.6)	$(8.3, 4.6)$
21907	Convert to Rectangular Coordinates	(8.9,125)	$(8.9, 125)$
21908	Evaluate	sec(-135)	$\sec (- 135)$
21909	Simplify/Condense	3/(( log of 6)/( log of 1/8))-4	$\frac{3}{\frac{\log (6)}{\log (\frac{1}{8})}} - 4$
21910	Convert to Rectangular Coordinates	(7,-7)	$(7, - 7)$
21911	Convert to Rectangular Coordinates	(7.4,2.5)	$(7.4, 2.5)$
21912	Convert to Rectangular Coordinates	(-8,-180)	$(- 8, - 180)$
21913	Convert to Rectangular Coordinates	(9,120)	$(9, 120)$
21914	Convert to Rectangular Coordinates	(2,pi)	$(2, π)$
21915	Simplify/Condense	natural log of 148.4132	$\ln (148.4132)$
21916	Simplify/Condense	10 log of t	$10 \log (t)$
21917	Simplify/Condense	10 log of x	$10 \log (x)$
21918	Evaluate	sin((8pi)/3)	$\sin (\frac{8 π}{3})$
21919	Simplify/Condense	log base 4 of 15- log base 4 of 5	$\log_{4} (15) - \log_{4} (5)$
21920	Simplify/Condense	log base 4 of (4ab^2)/(c^3d)	$\log_{4} (\frac{4 a b^{2}}{c^{3} d})$
21921	Convert to Rectangular Coordinates	(9,12)	$(9, 12)$
21922	Graph	y=sin(x-2)-1	$y = \sin (x - 2) - 1$
21923	Simplify/Condense	log base 27 of 81	$\log_{27} (81)$
21924	Simplify/Condense	log base 27 of 1/3	$\log_{27} (\frac{1}{3})$
21925	Simplify/Condense	log base 3 of 729	$\log_{3} (729)$
21926	Evaluate	sec(-(5pi)/6)	$\sec (- \frac{5 π}{6})$
21927	Find the Tangent Given the Point	(5,12)	$(5, 12)$
21928	Simplify/Condense	log base 3 of 48	$\log_{3} (48)$
21929	Convert from Radians to Degrees	(22pi)/9	$\frac{22 π}{9}$
21930	Simplify/Condense	natural log of square root of km/p	$\ln (\sqrt{\frac{km}{p}})$
21931	Simplify/Condense	log base p of 222	$\log_{p} (222)$
21932	Simplify/Condense	log base b of 2.079/1.946	$\log_{b} (\frac{2.079}{1.946})$
21933	Simplify/Condense	log base 7 of 20	$\log_{7} (20)$
21934	Simplify/Condense	log base 6 of 50	$\log_{6} (50)$
21935	Simplify/Condense	log base 6 of 48	$\log_{6} (48)$
21936	Simplify/Condense	log base 6 of 3+ log base 6 of 72	$\log_{6} (3) + \log_{6} (72)$
21937	Simplify/Condense	log base 8 of 4	$\log_{8} (4)$
21938	Simplify/Condense	log base 8 of 27/10	$\log_{8} (\frac{27}{10})$
21939	Simplify/Condense	log base 4 of 3	$\log_{4} (3)$
21940	Simplify/Condense	log base 4 of 32+ log base 4 of 2	$\log_{4} (32) + \log_{4} (2)$
21941	Simplify/Condense	log base 4 of 4^6	$\log_{4} (4^{6})$
21942	Simplify/Condense	log base 32 of 4	$\log_{32} (4)$
21943	Simplify/Condense	log base 4 of cube root of 16	$\log_{4} (\sqrt[3]{16})$
21944	Simplify/Condense	log base 5 of 1/4	$\log_{5} (\frac{1}{4})$
21945	Simplify/Condense	log base 5 of fifth root of 25	$\log_{5} (\sqrt[5]{25})$
21946	Simplify/Condense	log base 49 of 1/7	$\log_{49} (\frac{1}{7})$
21947	Simplify/Condense	log base 6 of 21- log base 6 of 3	$\log_{6} (21) - \log_{6} (3)$
21948	Simplify/Condense	log base 6 of cube root of 36	$\log_{6} (\sqrt[3]{36})$
21949	Simplify/Condense	log base 5 of 81	$\log_{5} (81)$
21950	Simplify/Condense	log base 5 of 75	$\log_{5} (75)$
21951	Simplify/Condense	log base 5 of b log base 9 of 48	$\log_{5} (b) \log_{9} (48)$
21952	Simplify/Condense	log base 5 of y-4( log base 5 of r+2 log base 5 of t)	$\log_{5} (y) - 4 (\log_{5} (r) + 2 \log_{5} (t))$
21953	Simplify/Condense	e^( natural log of 7)	$e^{\ln (7)}$
21954	Simplify/Condense	( log of 11)/3+( log of 5)/3+( log of 2)/3	$\frac{\log (11)}{3} + \frac{\log (5)}{3} + \frac{\log (2)}{3}$
21955	Simplify/Condense	( natural log of 5)/( natural log of 3)	$\frac{\ln (5)}{\ln (3)}$
21956	Simplify/Condense	natural log of (e)^(x+1)	$\ln ({(e)}^{x + 1})$
21957	Simplify	2sin(5theta)cos(5theta)	$2 \sin (5 θ) \cos (5 θ)$
21958	Simplify/Condense	( log of 12)/( log of 5)	$\frac{\log (12)}{\log (5)}$
21959	Simplify/Condense	10^( log of 36)	$10^{\log (36)}$
21960	Simplify/Condense	1/2* log of m-3 log of n	$\frac{1}{2} \cdot \log (m) - 3 \log (n)$
21961	Simplify/Condense	10^( log of w)	$10^{\log (w)}$
21962	Simplify/Condense	5^(3(-( natural log of 3)/( natural log of 5)))	$5^{3 (- \frac{\ln (3)}{\ln (5)})}$
21963	Simplify/Condense	6^( log base 6 of 3)	$6^{\log_{6} (3)}$
21964	Simplify/Condense	6^( log of 6^4)	$6^{\log (6^{4})}$
21965	Simplify/Condense	( natural log of 15/4)/0.25	$\frac{\ln (\frac{15}{4})}{0.25}$
21966	Simplify/Condense	( natural log of 12+ natural log of 4)/( log of 12+ log of 4)	$\frac{\ln (12) + \ln (4)}{\log (12) + \log (4)}$
21967	Simplify/Condense	log base 3 of 1/243	$\log_{3} (\frac{1}{243})$
21968	Simplify/Condense	log base 2 of 8+ log base 5 of 25	$\log_{2} (8) + \log_{5} (25)$
21969	Simplify/Condense	log base 3 of 3^2	$\log_{3} (3^{2})$
21970	Simplify/Condense	log base 2 of square root of 5- log base 2 of square root of 40	$\log_{2} (\sqrt{5}) - \log_{2} (\sqrt{40})$
21971	Simplify/Condense	log base 16 of 12	$\log_{16} (12)$
21972	Simplify/Condense	log base 12 of 1	$\log_{12} (1)$
21973	Simplify/Condense	log base 12 of 144	$\log_{12} (144)$
21974	Simplify/Condense	log base 2 of 128	$\log_{2} (128)$
21975	Simplify/Condense	natural log of 0.5	$\ln (0.5)$
21976	Simplify/Condense	natural log of e^(9x)	$\ln (e^{9 x})$
21977	Simplify/Condense	natural log of x/(x-5)+ natural log of (x+5)/x- natural log of x^2-25	$\ln (\frac{x}{x - 5}) + \ln (\frac{x + 5}{x}) - \ln (x^{2} - 25)$
21978	Simplify/Condense	3 log of p-(2 log of t+1/2* log of r)	$3 \log (p) - (2 \log (t + \frac{1}{2} \cdot \log (r)))$
21979	Simplify/Condense	natural log of (e^4)/8	$\ln (\frac{e^{4}}{8})$
21980	Simplify/Condense	5 natural log of 5-3 natural log of y	$5 \ln (5) - 3 \ln (y)$
21981	Simplify/Condense	log base 8 of 13*7	$\log_{8} (13 \cdot 7)$
21982	Simplify/Condense	3 log of 4	$3 \log (4)$
21983	Simplify/Condense	3 natural log of x+7- natural log of x	$3 \ln (x + 7) - \ln (x)$
21984	Simplify/Condense	3 natural log of 2+1/2* natural log of 49- natural log of 14	$3 \ln (2) + \frac{1}{2} \cdot \ln (49) - \ln (14)$
21985	Simplify/Condense	3 log of x-2 log of y+ log of z	$3 \log (x) - 2 \log (y) + \log (z)$
21986	Simplify/Condense	2 log base 9 of 5	$2 \log_{9} (5)$
21987	Simplify/Condense	2 log base a of b	$2 \log_{a} (b)$
21988	Simplify/Condense	10 log of 25	$10 \log (25)$
21989	Simplify/Condense	natural log of 75	$\ln (75)$
21990	Simplify/Condense	log of square root of a/b	$\log (\sqrt{\frac{a}{b}})$
21991	Simplify/Condense	log of 75/16+ log of 32/243	$\log (\frac{75}{16}) + \log (\frac{32}{243})$
21992	Simplify/Condense	natural log of 4x^2-20x+ natural log of 1/(4x)	$\ln (4 x^{2} - 20 x) + \ln (\frac{1}{4 x})$
21993	Simplify/Condense	natural log of 5e^6	$\ln (5 e^{6})$
21994	Simplify/Condense	natural log of sec(0)	$\ln (\sec (0))$
21995	Find the Exact Value	tan(arccos(( square root of 3)/2))	$\tan (\arccos (\frac{\sqrt{3}}{2}))$
21996	Simplify/Condense	log of 25	$\log (25)$
21997	Simplify/Condense	log of 250	$\log (250)$
21998	Simplify/Condense	log of 3+2 log of x- log of 12	$\log (3) + 2 \log (x) - \log (12)$
21999	Simplify/Condense	log of 14	$\log (14)$
22000	Simplify/Condense	log of 10- log of 2	$\log (10) - \log (2)$