Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
44301	Expand the Logarithmic Expression	log base b of y^4z	$\log_{b} (y^{4} z)$
44302	Expand the Logarithmic Expression	log base 8 of 8x	$\log_{8} (8 x)$
44303	Solve for x	5(x+1)=4(x+8)	$5 (x + 1) = 4 (x + 8)$
44304	Simplify/Condense	1/2* log base 5 of 16-3 log base 5 of x+4 log base 5 of y	$\frac{1}{2} \cdot \log_{5} (16) - 3 \log_{5} (x) + 4 \log_{5} (y)$
44305	Simplify/Condense	5 log of x-4 log of y	$5 \log (x) - 4 \log (y)$
44306	Simplify/Condense	1/5 natural log of (x+2)^5+1/2( natural log of x- natural log of (x^2+3x+2)^2)	$\frac{1}{5} \ln ({(x + 2)}^{5}) + \frac{1}{2} (\ln (x) - \ln ({(x^{2} + 3 x + 2)}^{2}))$
44307	Simplify/Condense	log base 4 of 12- log base 4 of 3	$\log_{4} (12) - \log_{4} (3)$
44308	Find the Derivative - d/d@VAR	f(t)=10te^(-5/2t)	$f (t) = 10 t e^{- \frac{5}{2} t}$
44309	Simplify/Condense	log base 6 of 12+ log base 6 of 3	$\log_{6} (12) + \log_{6} (3)$
44310	Simplify/Condense	log base 7 of 13+ log base 7 of 10	$\log_{7} (13) + \log_{7} (10)$
44311	Simplify/Condense	log base 5 of 625	$\log_{5} (625)$
44312	Write in Slope-Intercept Form	6(y-32)+2x=8	$6 (y - 32) + 2 x = 8$
44313	Find the Quadrant	(5,-3)	$(5, - 3)$
44314	Find Where Undefined/Discontinuous	3/(a+2)+2/a=(4a-4)/(a^2-4)	$\frac{3}{a + 2} + \frac{2}{a} = \frac{4 a - 4}{a^{2} - 4}$
44315	Find Where Undefined/Discontinuous	y = square root of 0-2	$y = \sqrt{0 - 2}$
44316	Find the Quadrant	(1,-1)	$(1, - 1)$
44317	Find Where Undefined/Discontinuous	1/(x-2)-3/(x+7)=9/(x^2+5x-14)	$\frac{1}{x - 2} - \frac{3}{x + 7} = \frac{9}{x^{2} + 5 x - 14}$
44318	Find the Quadrant	(0,6)	$(0, 6)$
44319	Find Where Undefined/Discontinuous	1/(x-2)-4/(x+6)=8/(x^2+4x-12)	$\frac{1}{x - 2} - \frac{4}{x + 6} = \frac{8}{x^{2} + 4 x - 12}$
44320	Find the Equation Using Two Points	(1,2) , (3,3)	$(1, 2)$ , $(3, 3)$
44321	Find Where Undefined/Discontinuous	1/(x-3)-5/(x+7)=10/(x^2+4x-21)	$\frac{1}{x - 3} - \frac{5}{x + 7} = \frac{10}{x^{2} + 4 x - 21}$
44322	Find the Slope	(-3,-8) , (4,6)	$(- 3, - 8) (4, 6)$
44323	Find the Slope	(-2,-7) , (3,5)	$(- 2, - 7) (3, 5)$
44324	Find Where Undefined/Discontinuous	3/x+2=2/(5x)+21/10	$\frac{3}{x} + 2 = \frac{2}{5 x} + \frac{21}{10}$
44325	Find Where Undefined/Discontinuous	3/x+3=2/(5x)+31/10	$\frac{3}{x} + 3 = \frac{2}{5 x} + \frac{31}{10}$
44326	Find Where Undefined/Discontinuous	2/x=1/(2x)+3	$\frac{2}{x} = \frac{1}{2 x} + 3$
44327	Solve by Graphing	x+y=5 , y-x=5	$x + y = 5$ , $y - x = 5$
44328	Solve by Graphing	x-y=1 , x+y=5	$x - y = 1$ , $x + y = 5$
44329	Find Where Undefined/Discontinuous	2/x+3=3/(4x)+25/8	$\frac{2}{x} + 3 = \frac{3}{4 x} + \frac{25}{8}$
44330	Evaluate	log of 66	$\log (66)$
44331	Convert to a Simplified Fraction	0.02	$0.02$
44332	Find Where Undefined/Discontinuous	x/(x-2)-(17x)/(7x+7)=0	$\frac{x}{x - 2} - \frac{17 x}{7 x + 7} = 0$
44333	Evaluate	log of 10^13	$\log (10^{13})$
44334	Find Where Undefined/Discontinuous	y = cube root of 0-2	$y = \sqrt[3]{0 - 2}$
44335	Evaluate	log of 10^-8	$\log (10^{- 8})$
44336	Find Where Undefined/Discontinuous	2/x+3=2/(5x)+31/10	$\frac{2}{x} + 3 = \frac{2}{5 x} + \frac{31}{10}$
44337	Evaluate	log of 1/1000000	$\log (\frac{1}{1000000})$
44338	Write in Standard Form	f(x)=2x+x^3	$f (x) = 2 x + x^{3}$
44339	Evaluate	natural log of 64	$\ln (64)$
44340	Evaluate	log of 3*9	$\log (3) \cdot 9$
44341	Evaluate	log of 6*36	$\log (6) \cdot 36$
44342	Write in Standard Form	g(x)=(9-x^5)/4	$g (x) = \frac{9 - x^{5}}{4}$
44343	Evaluate	log of 5*625	$\log (5) \cdot 625$
44344	Write in Standard Form	G(x)=4(x-3)^2(x^2+1)	$G (x) = 4 {(x - 3)}^{2} (x^{2} + 1)$
44345	Evaluate	log of 53	$\log (53)$
44346	Write in Standard Form	f(x)=3(x-3)^2+9	$f (x) = 3 {(x - 3)}^{2} + 9$
44347	Evaluate	log of 100000000	$\log (100000000)$
44348	Write in Standard Form	f(x)=3x+x^2	$f (x) = 3 x + x^{2}$
44349	Evaluate	natural log of e^-1	$\ln (e^{- 1})$
44350	Write in Standard Form	f(x)=5x+x^4	$f (x) = 5 x + x^{4}$
44351	Evaluate	6 natural log of 2	$6 \ln (2)$
44352	Write in Standard Form	f(x)=5(x-1)^2-5	$f (x) = 5 {(x - 1)}^{2} - 5$
44353	Evaluate	( log of 9)/( log of 2)	$\frac{\log (9)}{\log (2)}$
44354	Write in Standard Form	f(x)=5x+x^6	$f (x) = 5 x + x^{6}$
44355	Evaluate	log of (10)^14	$\log ({(10)}^{14})$
44356	Write in Standard Form	g(x)=(6-x^5)/5	$g (x) = \frac{6 - x^{5}}{5}$
44357	Evaluate	log base 3 of fifth root of 9	$\log_{3} (\sqrt[5]{9})$
44358	Evaluate	log base 2 of fourth root of 8	$\log_{2} (\sqrt[4]{8})$
44359	Convert to a Mixed Number	4.02	$4.02$
44360	Evaluate	log base 2 of fifth root of 2	$\log_{2} (\sqrt[5]{2})$
44361	Convert to a Mixed Number	38/10	$\frac{38}{10}$
44362	Convert to a Mixed Number	47/15	$\frac{47}{15}$
44363	Evaluate	log base 13 of 89.5	$\log_{13} (89.5)$
44364	Convert to a Mixed Number	5.625	$5.625$
44365	Evaluate	log base 15 of 225	$\log_{15} (225)$
44366	Convert to a Mixed Number	-41/16	$- \frac{41}{16}$
44367	Evaluate	log base 3 of square root of 7	$\log_{3} (\sqrt{7})$
44368	Convert to a Mixed Number	11.25	$11.25$
44369	Evaluate	log base 27 of 243	$\log_{27} (243)$
44370	Convert to a Mixed Number	-47/8	$- \frac{47}{8}$
44371	Evaluate	log base 2 of 60	$\log_{2} (60)$
44372	Convert to a Mixed Number	4.028	$4.028$
44373	Evaluate	log base 5 of 60	$\log_{5} (60)$
44374	Convert to a Mixed Number	22/15	$\frac{22}{15}$
44375	Evaluate	log base 5 of cube root of 25	$\log_{5} (\sqrt[3]{25})$
44376	Convert to a Mixed Number	12.25	$12.25$
44377	Evaluate	log base 6 of 42	$\log_{6} (42)$
44378	Convert to a Mixed Number	46/5	$\frac{46}{5}$
44379	Simplify	square root of 484	$\sqrt{484}$
44380	Convert to a Mixed Number	3.12	$3.12$
44381	Evaluate	log base 4 of 21	$\log_{4} (21)$
44382	Convert to a Mixed Number	14.4	$14.4$
44383	Evaluate	log base 8 of 1/512	$\log_{8} (\frac{1}{512})$
44384	Convert to a Mixed Number	6.04	$6.04$
44385	Evaluate	log base 7 of 18	$\log_{7} (18)$
44386	Convert to a Mixed Number	1.625	$1.625$
44387	Evaluate	log base 7 of 7^3	$\log_{7} (7^{3})$
44388	Convert to a Mixed Number	41/5	$\frac{41}{5}$
44389	Evaluate	log base 8 of 15	$\log_{8} (15)$
44390	Convert to a Mixed Number	41/4	$\frac{41}{4}$
44391	Evaluate	log base 8 of 30	$\log_{8} (30)$
44392	Convert to a Mixed Number	8.002	$8.002$
44393	Evaluate	log base 9 of 19	$\log_{9} (19)$
44394	Convert to a Mixed Number	4.1	$4.1$
44395	Evaluate	log base 9 of 30	$\log_{9} (30)$
44396	Convert to a Mixed Number	19/16	$\frac{19}{16}$
44397	Evaluate	log base p of 68	$\log_{p} (68)$
44398	Convert to a Mixed Number	101/8	$\frac{101}{8}$
44399	Evaluate	log base p of p	$\log_{p} (p)$
44400	Convert to a Mixed Number	6.72	$6.72$