Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20101	Graph	( natural log of x)/(12x)	$\frac{\ln (x)}{12 x}$
20102	Graph	( natural log of x)/(5x)	$\frac{\ln (x)}{5 x}$
20103	Graph	natural log of 3-x	$\ln (3 - x)$
20104	Graph	natural log of 2x+3	$\ln (2 x + 3)$
20105	Graph	natural log of 1+cos(x)	$\ln (1 + \cos (x))$
20106	Graph	natural log of 1-7x	$\ln (1 - 7 x)$
20107	Graph	natural log of x+ square root of x^2-1	$\ln (x + \sqrt{x^{2} - 1})$
20108	Graph	natural log of square root of xy	$\ln (\sqrt{x y})$
20109	Graph	natural log of 9x+4	$\ln (9 x + 4)$
20110	Graph	natural log of 8x+1	$\ln (8 x + 1)$
20111	Graph	natural log of cos(5x)	$\ln (\cos (5 x))$
20112	Graph	natural log of ax	$\ln (a x)$
20113	Graph	natural log of natural log of 9x	$\ln (\ln (9 x))$
20114	Graph	natural log of sin(2x)	$\ln (\sin (2 x))$
20115	Graph	natural log of x/3	$\ln (\frac{x}{3})$
20116	Graph	natural log of fifth root of x	$\ln (\sqrt[5]{x})$
20117	Graph	natural log of square root of x+1	$\ln (\sqrt{x + 1})$
20118	Graph	natural log of square root of x^2-7	$\ln (\sqrt{x^{2} - 7})$
20119	Graph	natural log of 1+e^x	$\ln (1 + e^{x})$
20120	Evaluate the Function	f(x)=( natural log of x)^2 at x=4	$\ln (1 - x^{2})$
20121	Graph	natural log of xe^( square root of x)+2	$\ln (x e^{\sqrt{x}} + 2)$
20122	Graph	natural log of 13e^x	$\ln (13) e^{x}$
20123	Graph	natural log of 10x	$\ln (10 x)$
20124	Graph	natural log of x^9	$\ln (x^{9})$
20125	Graph	natural log of x^7	$\ln (x^{7})$
20126	Graph	natural log of x^5	$\ln (x^{5})$
20127	Graph	natural log of xe^x	$\ln (x e^{x})$
20128	Graph	natural log of x^2+3x+7	$\ln (x^{2} + 3 x + 7)$
20129	Graph	natural log of x^2+64	$\ln (x^{2} + 64)$
20130	Graph	4xyz+ natural log of 2xyz	$4 x y z + \ln (2 x y z)$
20131	Graph	4x natural log of 7x-4x	$4 x \ln (7 x) - 4 x$
20132	Graph	5 natural log of 6x	$5 \ln (6 x)$
20133	Graph	(9( square root of x))/( natural log of x)	$\frac{9 (\sqrt{x})}{\ln (x)}$
20134	Graph	9 natural log of x	$9 \ln (x)$
20135	Graph	f(x) natural log of 4x	$f (x) \ln (4 x)$
20136	Graph	f(x) natural log of natural log of 3x	$f (x) \ln (\ln (3 x))$
20137	Graph	natural log of \|cos(4x)\|	$\ln (\| \cos (4 x) \|)$
20138	Graph	natural log of (x^4)/((3x-2)^3)	$\ln (\frac{x^{4}}{{(3 x - 2)}^{3}})$
20139	Graph	k square root of x- natural log of x	$k \sqrt{x} - \ln (x)$
20140	Graph	36 natural log of 10x-7	$36 \ln (10 x - 7)$
20141	Graph	5 log base 4 of x	$5 \log_{4} (x)$
20142	Graph	6 natural log of x	$6 \ln (x)$
20143	Graph	x^2 natural log of 8x	$x^{2} \ln (8 x)$
20144	Graph	x^8 natural log of x	$x^{8} \ln (x)$
20145	Graph	2 natural log of sec(x)	$2 \ln (\sec (x))$
20146	Evaluate	natural log of (e)^( square root of 2)	$\ln ({(e)}^{\sqrt{2}})$
20147	Evaluate	( natural log of 2)/0.062	$\frac{\ln (2)}{0.062}$
20148	Evaluate	( natural log of 2)/0.047	$\frac{\ln (2)}{0.047}$
20149	Evaluate	( natural log of 2)/0.063	$\frac{\ln (2)}{0.063}$
20150	Evaluate	e^( natural log of 3x)	$e^{\ln (3 x)}$
20151	Evaluate	( natural log of 2)/0.069	$\frac{\ln (2)}{0.069}$
20152	Evaluate	( natural log of 2)/0.14	$\frac{\ln (2)}{0.14}$
20153	Evaluate	( natural log of 0.21)/( natural log of 18)	$\frac{\ln (0.21)}{\ln (18)}$
20154	Evaluate	( natural log of 2)/7	$\frac{\ln (2)}{7}$
20155	Evaluate	( natural log of 3)/6	$\frac{\ln (3)}{6}$
20156	Evaluate	e^(x natural log of 2)	$e^{x \ln (2)}$
20157	Evaluate	( natural log of 0.5)/-0.032	$\frac{\ln (0.5)}{- 0.032}$
20158	Evaluate	e^(- natural log of 4)	$e^{- \ln (4)}$
20159	Evaluate	e^( natural log of 18x^6- natural log of 3x^4)	$e^{\ln (18 x^{6}) - \ln (3 x^{4})}$
20160	Evaluate	e^(3 natural log of x-1)	$e^{3 \ln (x - 1)}$
20161	Evaluate	e^(2 natural log of 5)	$e^{2 \ln (5)}$
20162	Evaluate	e^(2 natural log of 7)	$e^{2 \ln (7)}$
20163	Evaluate	e^(6 natural log of x)	$e^{6 \ln (x)}$
20164	Evaluate	e^(-4 natural log of 3)	$e^{- 4 \ln (3)}$
20165	Evaluate	( natural log of 3500/10000)/1	$\frac{\ln (\frac{3500}{10000})}{1}$
20166	Evaluate	( natural log of x^ay^b)/(cd)	$\frac{\ln (x^{a} y^{b})}{c d}$
20167	Evaluate	log of 1000^x	$\log (1000^{x})$
20168	Simplify	sin(infinity)	$\sin (\infty)$
20169	Evaluate	log base 13 of 8	$\log_{13} (8)$
20170	Evaluate	log base 17 of square root of 17	$\log_{17} (\sqrt{17})$
20171	Evaluate	log base 3 of sixth root of 3	$\log_{3} (\sqrt[6]{3})$
20172	Evaluate	log base 3 of 125	$\log_{3} (125)$
20173	Evaluate	log base 2 of 71	$\log_{2} (71)$
20174	Evaluate	log base 4 of 53	$\log_{4} (53)$
20175	Evaluate	log base 3 of 33	$\log_{3} (33)$
20176	Evaluate	log base 3 of 3e	$\log_{3} (3) e$
20177	Evaluate	(1/2*(tan(5x))/(cos(5x))+( natural log of 1/(cos(5x))+tan(5x))/2)/5	$\frac{\frac{1}{2} \cdot \frac{\tan (5 x)}{\cos (5 x)} + \frac{\ln (\frac{1}{\cos (5 x)} + \tan (5 x))}{2}}{5}$
20178	Graph	natural log of x-y	$\ln (x - y)$
20179	Graph	tan( natural log of x)	$\tan (\ln (x))$
20180	Graph	x( natural log of x-1)	$x (\ln (x - 1))$
20181	Graph	x natural log of (x)^3	$x \ln ({(x)}^{3})$
20182	Graph	x natural log of kx^2	$x \ln (k x^{2})$
20183	Graph	x natural log of 10	$x \ln (10)$
20184	Graph	2 natural log of y	$2 \ln (y)$
20185	Evaluate	16^( square root of 16)((2+ natural log of 16)/(2 square root of 16))	$16^{\sqrt{16}} (\frac{2 + \ln (16)}{2 \sqrt{16}})$
20186	Evaluate	0.13411983/( natural log of 1+0.08333*0.1)	$\frac{0.1\overline{341198}}{\ln (1 + 0.08333 \cdot 0.1)}$
20187	Graph	x natural log of sin(x)	$x \ln (\sin (x))$
20188	Graph	10y natural log of x	$10 y \ln (x)$
20189	Evaluate	10^( log of x)	$10^{\log (x)}$
20190	Evaluate	log base 2 of (8)^3	$\log_{2} ({(8)}^{3})$
20191	Evaluate	0.5/((0.184*10^-3) natural log of 93.4/(93.4-65.3))	$\frac{0.5}{(0.184 \cdot 10^{- 3}) \ln (\frac{93.4}{93.4 - 65.3})}$
20192	Evaluate	64/((8)(32-38))+(192 natural log of 8)/((32-38)^2)	$\frac{64}{(8) (32 - 3 \cdot 8)} + \frac{192 \ln (8)}{{(32 - 3 \cdot 8)}^{2}}$
20193	Evaluate	5^(2+ log base 5 of x)	$5^{2 + \log_{5} (x)}$
20194	Evaluate	e^2 natural log of e	$e^{2} \ln (e)$
20195	Evaluate	(8(2.000001)^( natural log of 2.000001)-8(2)^( natural log of 2))/0.000001	$\frac{8 {(2.000001)}^{\ln (2.000001)} - 8 {(2)}^{\ln (2)}}{0.000001}$
20196	Evaluate	e^(l+ natural log of x)	$e^{l + \ln (x)}$
20197	Evaluate	(3 natural log of (1)^2)/1	$\frac{3 \ln ({(1)}^{2})}{1}$
20198	Evaluate	3^( log base 3 of 2.714)	$3^{\log_{3} (2.714)}$
20199	Evaluate	(45 natural log of 8-45)/( natural log of (8)^2)	$\frac{45 \ln (8) - 45}{\ln ({(8)}^{2})}$
20200	Find f(g(x))	f(x) = square root of x+2 , g(x)=8x^2-14	$f (x) = \sqrt{x + 2}$ , $g (x) = 8 x^{2} - 14$