Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
24801	Simplify/Condense	( natural log of 2.3/2.6)/24*120	$\frac{\ln (\frac{2.3}{2.6})}{24} \cdot 120$
24802	Simplify/Condense	( natural log of 3448/2800)/6	$\frac{\ln (\frac{3448}{2800})}{6}$
24803	Simplify/Condense	natural log of ((e-1)/(e+1))^(3/2)	$\ln ({(\frac{e - 1}{e + 1})}^{\frac{3}{2}})$
24804	Simplify/Condense	natural log of (14)^(1/4)	$\ln ({(14)}^{\frac{1}{4}})$
24805	Simplify/Condense	-( natural log of 2)/( natural log of 0.88)*24	$- \frac{\ln (2)}{\ln (0.88)} \cdot 24$
24806	Simplify/Condense	-( natural log of 2)/( natural log of 0.88)*48	$- \frac{\ln (2)}{\ln (0.88)} \cdot 48$
24807	Simplify/Condense	( natural log of 2)/r-( natural log of 2)/0.023	$\frac{\ln (2)}{r} - \frac{\ln (2)}{0.023}$
24808	Simplify/Condense	natural log of (2x)^3	$\ln ({(2 x)}^{3})$
24809	Simplify/Condense	natural log of (5e)^4	$\ln ({(5 e)}^{4})$
24810	Simplify/Condense	( natural log of 6)/( natural log of 8/9+ natural log of 6)	$\frac{\ln (6)}{\ln (\frac{8}{9}) + \ln (6)}$
24811	Simplify/Condense	natural log of (8)^2	$\ln ({(8)}^{2})$
24812	Simplify/Condense	( natural log of 9)/( natural log of 3)	$\frac{\ln (9)}{\ln (3)}$
24813	Simplify/Condense	natural log of (e)^2.5- natural log of square root of e	$\ln ({(e)}^{2.5}) - \ln (\sqrt{e})$
24814	Simplify/Condense	natural log of (x)^6-5* natural log of x^(3/5)	$\ln ({(x)}^{6}) - 5 \cdot \ln (x^{\frac{3}{5}})$
24815	Simplify/Condense	( natural log of x+3)/(xy)	$\frac{\ln (x + 3)}{x y}$
24816	Simplify/Condense	( log of square root of x)/(100y^2)	$\frac{\log (\sqrt{x})}{100 y^{2}}$
24817	Graph	r=2sin(3theta)	$r = 2 \sin (3 θ)$
24818	Simplify/Condense	log of (10)^15	$\log ({(10)}^{15})$
24819	Simplify/Condense	log of (10)^-7	$\log ({(10)}^{- 7})$
24820	Simplify/Condense	( log of 1000)/( log of square root of 11)	$\frac{\log (1000)}{\log (\sqrt{11})}$
24821	Simplify/Condense	( log of 1024)/( log of 4)	$\frac{\log (1024)}{\log (4)}$
24822	Simplify/Condense	( log of 16)/( log of 1/2)	$\frac{\log (16)}{\log (\frac{1}{2})}$
24823	Simplify/Condense	( log of 2)/( log of 7)	$\frac{\log (2)}{\log (7)}$
24824	Simplify/Condense	log of (3.2)^3	$\log ({(3.2)}^{3})$
24825	Simplify/Condense	log of (300)^40	$\log ({(300)}^{40})$
24826	Simplify/Condense	( log of 5)/( log of 4)	$\frac{\log (5)}{\log (4)}$
24827	Simplify/Condense	( log of 5)/( log of 8)	$\frac{\log (5)}{\log (8)}$
24828	Simplify/Condense	log of (5)^0.04	$\log ({(5)}^{0.04})$
24829	Simplify/Condense	( log of 6)/3+( log of 11)/3+( log of 7)/3	$\frac{\log (6)}{3} + \frac{\log (11)}{3} + \frac{\log (7)}{3}$
24830	Simplify/Condense	-3/2*( log of x+2 log of 2)	$- \frac{3}{2} \cdot (\log (x) + 2 \log (2))$
24831	Simplify/Condense	3/2* natural log of (16x)^10-2/5* natural log of (2y)^30	$\frac{3}{2} \cdot \ln ({(16 x)}^{10}) - \frac{2}{5} \cdot \ln ({(2 y)}^{30})$
24832	Simplify/Condense	10^(( log of 4000/2500.0)/10)*(2)-2	$10^{\frac{\log (\frac{4000}{2500})}{10}} \cdot (2) - 2$
24833	Simplify/Condense	10^( log of 3x+1)	$10^{\log (3 x + 1)}$
24834	Simplify/Condense	1000^(4 log of x^3)	$1000^{4 \log (x^{3})}$
24835	Simplify/Condense	-2/3* log base 5 of 5m^2+1/2* log base 5 of 25m^2	$- \frac{2}{3} \cdot \log_{5} (5 m^{2}) + \frac{1}{2} \cdot \log_{5} (25 m^{2})$
24836	Simplify/Condense	-2/3* log base 6 of 6m^2+1/2* log base 6 of 36m^2	$- \frac{2}{3} \cdot \log_{6} (6 m^{2}) + \frac{1}{2} \cdot \log_{6} (36 m^{2})$
24837	Simplify/Condense	2/3* natural log of 8- natural log of 5-1	$\frac{2}{3} \cdot \ln (8) - \ln (5 - 1)$
24838	Simplify/Condense	2/3* natural log of 8+ natural log of x+ natural log of x^2-4- natural log of x-2	$\frac{2}{3} \cdot \ln (8) + \ln (x) + \ln (x^{2} - 4) - \ln (x - 2)$
24839	Simplify/Condense	1/3* log base 3 of x+3 log base 3 of y- log base 3 of w	$\frac{1}{3} \cdot \log_{3} (x) + 3 \log_{3} (y) - \log_{3} (w)$
24840	Simplify/Condense	1/3* log base 4 of 8+ log base 4 of 3	$\frac{1}{3} \cdot \log_{4} (8) + \log_{4} (3)$
24841	Simplify/Condense	1/3* log base 5 of w+5 log base 5 of x- log base 5 of z	$\frac{1}{3} \cdot \log_{5} (w) + 5 \log_{5} (x) - \log_{5} (z)$
24842	Simplify/Condense	1/3* log base 7 of w+2 log base 7 of z- log base 7 of x	$\frac{1}{3} \cdot \log_{7} (w) + 2 \log_{7} (z) - \log_{7} (x)$
24843	Simplify/Condense	1/3* log base 8 of w+5 log base 8 of y- log base 8 of z	$\frac{1}{3} \cdot \log_{8} (w) + 5 \log_{8} (y) - \log_{8} (z)$
24844	Graph	theta=-pi/4	$θ = - \frac{π}{4}$
24845	Simplify/Condense	1/3* log base b of 8	$\frac{1}{3} \cdot \log_{b} (8)$
24846	Simplify/Condense	1/3*( log base b of x+2 log base b of y-3 log base b of x)	$\frac{1}{3} \cdot (\log_{b} (x + 2) \log_{b} (y - 3) \log_{b} (x))$
24847	Simplify/Condense	1/3* natural log of 6-1/3* natural log of 2	$\frac{1}{3} \cdot \ln (6) - \frac{1}{3} \cdot \ln (2)$
24848	Simplify/Condense	1/3* natural log of x-2/3* natural log of y	$\frac{1}{3} \cdot \ln (x) - \frac{2}{3} \cdot \ln (y)$
24849	Simplify/Condense	1/3* log of (x+2)^3+1/2*( log of (x)^4- log of (x^2-x-6)^2)	$\frac{1}{3} \cdot \log ({(x + 2)}^{3}) + \frac{1}{2} \cdot (\log ({(x)}^{4}) - \log ({(x^{2} - x - 6)}^{2}))$
24850	Simplify/Condense	1/3* log of 125-1/2* log of 25	$\frac{1}{3} \cdot \log (125) - \frac{1}{2} \cdot \log (25)$
24851	Simplify/Condense	1/4*( log base 8 of x+ log base 8 of y)-5 log base 8 of x+6	$\frac{1}{4} \cdot (\log_{8} (x) + \log_{8} (y)) - 5 \log_{8} (x + 6)$
24852	Simplify/Condense	1/4* log base 2 of x	$\frac{1}{4} \cdot \log_{2} (x)$
24853	Find the Focus	x^2=-8y	$x^{2} = - 8 y$
24854	Simplify/Condense	1/4*( log base b of 16-2 log base b of 5)+ log base b of 7	$\frac{1}{4} \cdot (\log_{b} (16 - 2) \log_{b} (5)) + \log_{b} (7)$
24855	Simplify/Condense	1/4* log base b of a-3/4* log base b of y	$\frac{1}{4} \cdot \log_{b} (a) - \frac{3}{4} \cdot \log_{b} (y)$
24856	Simplify/Condense	1/4* log base b of x-2 log base b of 5-10 log base b of y	$\frac{1}{4} \cdot \log_{b} (x) - 2 \log_{b} (5) - 10 \log_{b} (y)$
24857	Simplify/Condense	1/4* log base c of x+4 log base c of y-3 log base c of x	$\frac{1}{4} \cdot \log_{c} (x) + 4 \log_{c} (y) - 3 \log_{c} (x)$
24858	Simplify/Condense	1/4* log base d of x+6 log base d of y-2 log base d of t	$\frac{1}{4} \cdot \log_{d} (x) + 6 \log_{d} (y) - 2 \log_{d} (t)$
24859	Simplify/Condense	1/4* natural log of 16-1/2* natural log of 81	$\frac{1}{4} \cdot \ln (16) - \frac{1}{2} \cdot \ln (81)$
24860	Simplify/Condense	1/4* natural log of 256-1/2* natural log of 9	$\frac{1}{4} \cdot \ln (256) - \frac{1}{2} \cdot \ln (9)$
24861	Evaluate	(10i)/(1-2i)	$\frac{10 i}{1 - 2 i}$
24862	Simplify/Condense	1/4* log of cx+5 log of cy-4 log of cx	$\frac{1}{4} \cdot \log (c x) + 5 \log (c y) - 4 \log (c x)$
24863	Simplify/Condense	1/(5 log base 4 of 6x)- log base 4 of y	$\frac{1}{5 \log_{4} (6 x)} - \log_{4} (y)$
24864	Simplify/Condense	1/5*( log base 2 of x+1+5 log base 2 of x-1)+15 log base 2 of x	$\frac{1}{5} \cdot (\log_{2} (x + 1) + 5 \log_{2} (x - 1)) + 15 \log_{2} (x)$
24865	Simplify/Condense	1/5* natural log of (x+2)^5+1/2*( natural log of x- natural log of (x^2+3x+2)^2)	$\frac{1}{5} \cdot \ln ({(x + 2)}^{5}) + \frac{1}{2} \cdot (\ln (x) - \ln ({(x^{2} + 3 x + 2)}^{2}))$
24866	Simplify/Condense	1/5* log base 3 of x+2 log base 3 of z- log base 3 of y	$\frac{1}{5} \cdot \log_{3} (x) + 2 \log_{3} (z) - \log_{3} (y)$
24867	Simplify/Condense	1/5* log base 4 of (7x)/y	$\frac{1}{5} \cdot \log_{4} (\frac{7 x}{y})$
24868	Simplify/Condense	1/5* log base 6 of y+3 log base 6 of x- log base 6 of z	$\frac{1}{5} \cdot \log_{6} (y) + 3 \log_{6} (x) - \log_{6} (z)$
24869	Simplify/Condense	1/5* log base 8 of y+2 log base 8 of w- log base 8 of z	$\frac{1}{5} \cdot \log_{8} (y) + 2 \log_{8} (w) - \log_{8} (z)$
24870	Simplify/Condense	1/5* log base a of y+3 log base a of z- log base a of w	$\frac{1}{5} \cdot \log_{a} (y) + 3 \log_{a} (z) - \log_{a} (w)$
24871	Simplify/Condense	1/5* log base a of y+6 log base a of x- log base a of z	$\frac{1}{5} \cdot \log_{a} (y) + 6 \log_{a} (x) - \log_{a} (z)$
24872	Simplify/Condense	1/5* natural log of 227/352	$\frac{1}{5} \cdot \ln (\frac{227}{352})$
24873	Simplify/Condense	1/5* natural log of x+4 natural log of y-8 natural log of z	$\frac{1}{5} \cdot \ln (x) + 4 \ln (y) - 8 \ln (z)$
24874	Simplify/Condense	1/5* log of x+2 log of y-3 log of z	$\frac{1}{5} \cdot \log (x) + 2 \log (y) - 3 \log (z)$
24875	Simplify/Condense	1/6* log base c of x^7- log base c of y^6z^5	$\frac{1}{6} \cdot \log_{c} (x^{7}) - \log_{c} (y^{6} z^{5})$
24876	Simplify/Condense	1/6* log of x^5y^7-6/(7 log of x^(2y))	$\frac{1}{6} \cdot \log (x^{5} y^{7}) - \frac{6}{7 \log (x^{2 y})}$
24877	Simplify/Condense	1/7*(5 natural log of x+2- natural log of x- natural log of x^2+1)	$\frac{1}{7} \cdot (5 \ln (x + 2) - \ln (x) - \ln (x^{2} + 1))$
24878	Simplify/Condense	1/7* log base b of x-2/9* log base b of y	$\frac{1}{7} \cdot \log_{b} (x) - \frac{2}{9} \cdot \log_{b} (y)$
24879	Find the Properties	y=3x^2-6x-24	$y = 3 x^{2} - 6 x - 24$
24880	Find the Properties	y=32x	$y = 32 x$
24881	Find the Properties	y=3cos(2x)	$y = 3 \cos (2 x)$
24882	Find the Properties	y=-3csc(2/3x)	$y = - 3 \csc (\frac{2}{3} x)$
24883	Find the Properties	y=3sin(x)	$y = 3 \sin (x)$
24884	Find the Properties	y=3x-5	$y = 3 x - 5$
24885	Find the Properties	y=4(x-1)^2-3	$y = 4 {(x - 1)}^{2} - 3$
24886	Find the Properties	y=4 log base 2 of x+1	$y = 4 \log_{2} (x) + 1$
24887	Find the Properties	y=4x^2+8x-1	$y = 4 x^{2} + 8 x - 1$
24888	Find the Properties	y=-4tan(2x)	$y = - 4 \tan (2 x)$
24889	Find the Properties	y=4tan(3x)	$y = 4 \tan (3 x)$
24890	Find the Properties	y=4x(12-x)^2	$y = 4 x {(12 - x)}^{2}$
24891	Find the Properties	y=4x-x^3	$y = 4 x - x^{3}$
24892	Find the Properties	y=5(0.5x-10)(10-50x)	$y = 5 (0.5 x - 10) (10 - 50 x)$
24893	Find the Properties	y=-5x^2	$y = - 5 x^{2}$
24894	Find the Properties	y=-6x^2	$y = - 6 x^{2}$
24895	Find the Properties	y=-6sin(x)	$y = - 6 \sin (x)$
24896	Find the Properties	y=7x^2	$y = 7 x^{2}$
24897	Find the Properties	y=7x^2-3x+2	$y = 7 x^{2} - 3 x + 2$
24898	Find the Properties	y=8x^2-392	$y = 8 x^{2} - 392$
24899	Find the Properties	y=8x^2-7x	$y = 8 x^{2} - 7 x$
24900	Find the Properties	y=9x^5-7x^3	$y = 9 x^{5} - 7 x^{3}$