Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44001	Identify the Sequence	2/1 , 3/3 , 4/5 , 5/7 , 6/9	$\frac{2}{1}$ , $\frac{3}{3}$ , $\frac{4}{5}$ , $\frac{5}{7}$ , $\frac{6}{9}$
44002	Identify the Sequence	1 , 9 , 25 , 49 , 81	$1$ , $9$ , $25$ , $49$ , $81$
44003	Identify the Sequence	-31 , -41 , -51 , -61	$- 31$ , $- 41$ , $- 51$ , $- 61$
44004	Identify the Sequence	32 , 40 , 48 , 56	$32$ , $40$ , $48$ , $56$
44005	Write as a Single Logarithm	6 log of x+4 log of x+6	$6 \log (x) + 4 \log (x + 6)$
44006	Write as a Single Logarithm	8^x=3	$8^{x} = 3$
44007	Write as a Single Logarithm	e^(6-8 natural log of x+ natural log of y)	$e^{6 - 8 \ln (x) + \ln (y)}$
44008	Write as a Single Logarithm	e^(8-6 natural log of x+ natural log of y)	$e^{8 - 6 \ln (x) + \ln (y)}$
44009	Write as a Single Logarithm	e^(4-8 natural log of x+ natural log of y)	$e^{4 - 8 \ln (x) + \ln (y)}$
44010	Write as a Single Logarithm	natural log of x^2+3 natural log of y	$\ln (x^{2}) + 3 \ln (y)$
44011	Write as a Single Logarithm	log of 1000- log of 10	$\log (1000) - \log (10)$
44012	Write as a Single Logarithm	log base 7 of square root of x- log base 7 of x^5	$\log_{7} (\sqrt{x}) - \log_{7} (x^{5})$
44013	Write as a Single Logarithm	4( log base 7 of x+2 log base 7 of y+3 log base 7 of z)	$4 (\log_{7} (x) + 2 \log_{7} (y) + 3 \log_{7} (z))$
44014	Write as a Single Logarithm	4 log of a-3 log of b+4 log of c-7 log of d	$4 \log (a) - 3 \log (b) + 4 \log (c) - 7 \log (d)$
44015	Write as a Single Logarithm	4 log base 3 of 27+1/3 log base 3 of x+4-5 log base 3 of x+2- log base 3 of x	$4 \log_{3} (27) + \frac{1}{3} \log_{3} (x + 4) - 5 \log_{3} (x + 2) - \log_{3} (x)$
44016	Write as a Single Logarithm	4 log base 3 of x- log base 1/3 of y+3	$4 \log_{3} (x) - \log_{\frac{1}{3}} (y) + 3$
44017	Write as a Single Logarithm	3 log base 5 of x-1/2 log base 5 of y+ log base 5 of z	$3 \log_{5} (x) - \frac{1}{2} \log_{5} (y) + \log_{5} (z)$
44018	Write as a Single Logarithm	5^(2x)+5^x-56=0	$5^{2 x} + 5^{x} - 56 = 0$
44019	Write as a Single Logarithm	5^(3x-1)=4^(2-x)	$5^{3 x - 1} = 4^{2 - x}$
44020	Write as a Single Logarithm	4 log of x-2( log of y+ log of z)	$4 \log (x) - 2 (\log (y) + \log (z))$
44021	Write as a Single Logarithm	6^(1-3x)=5^x	$6^{1 - 3 x} = 5^{x}$
44022	Write as a Single Logarithm	1/2( log of x+2+ log of x+3)- log of x+5-8 log of 3x-8	$\frac{1}{2} (\log (x + 2) + \log (x + 3)) - \log (x + 5) - 8 \log (3 x - 8)$
44023	Write as a Single Logarithm	1/2 natural log of x^3+3 natural log of x-4	$\frac{1}{2} \ln (x^{3}) + 3 \ln (x - 4)$
44024	Identify the Sequence	5 , 7 , 9	$5$ , $7$ , $9$
44025	Identify the Sequence	5 , 20 , 80 , ...	$5$ , $20$ , $80$ , $\dots$
44026	Identify the Sequence	5 , 1 , -3 , -7 , ...	$5$ , $1$ , $- 3$ , $- 7$ , $\dots$
44027	Identify the Sequence	-40 , -49 , -58 , -67	$- 40$ , $- 49$ , $- 58$ , $- 67$
44028	Identify the Sequence	4 , 8 , 16 , 32 , 64	$4$ , $8$ , $16$ , $32$ , $64$
44029	Identify the Sequence	7 , 11 , 15 , 19 , 23	$7$ , $11$ , $15$ , $19$ , $23$
44030	Identify the Sequence	8 , 15 , 22 , 29	$8$ , $15$ , $22$ , $29$
44031	Identify the Sequence	72 , 18 , 9/2 , 9/8	$72$ , $18$ , $\frac{9}{2}$ , $\frac{9}{8}$
44032	Identify the Sequence	78 , 65.5 , 53 , 40.5	$78$ , $65.5$ , $53$ , $40.5$
44033	Identify the Sequence	7 , 10 , 13 , 16 , 19	$7$ , $10$ , $13$ , $16$ , $19$
44034	Write as a Single Logarithm	log base 2 of 80- log base 2 of 5	$\log_{2} (80) - \log_{2} (5)$
44035	Write as a Single Logarithm	1/2 log base 3 of x-2 log base 3 of y- log base 3 of z	$\frac{1}{2} \log_{3} (x) - 2 \log_{3} (y) - \log_{3} (z)$
44036	Write as a Single Logarithm	log base 6 of square root of x- log base 6 of x^8	$\log_{6} (\sqrt{x}) - \log_{6} (x^{8})$
44037	Write as a Single Logarithm	log base 5 of square root of x- log base 5 of x^5	$\log_{5} (\sqrt{x}) - \log_{5} (x^{5})$
44038	Write as a Single Logarithm	3( log of x- log of y)	$3 (\log (x) - \log (y))$
44039	Write as a Single Logarithm	2 log of 2x- log of 4x	$2 \log (2 x) - \log (4 x)$
44040	Write as a Single Logarithm	2 natural log of x-3 natural log of y	$2 \ln (x) - 3 \ln (y)$
44041	Write as a Single Logarithm	log of 25+ log of 4	$\log (25) + \log (4)$
44042	Determine if Rational	square root of 72	$\sqrt{72}$
44043	Determine if Rational	square root of 85	$\sqrt{85}$
44044	Determine if Rational	square root of 36	$\sqrt{36}$
44045	Find Trig Functions Using Identities	sin(theta)=( square root of 5)/3 , cos(theta)=2/3	$\sin (θ) = \frac{\sqrt{5}}{3}$ , $\cos (θ) = \frac{2}{3}$
44046	Find Trig Functions Using Identities	cos(2theta)=cos(theta)^2-1/2	$\cos (2 θ) = \cos^{2} (θ) - \frac{1}{2}$
44047	Find Trig Functions Using Identities	(cos(x))/(1+sin(x))+(1+sin(x))/(cos(x))	$\frac{\cos (x)}{1 + \sin (x)} + \frac{1 + \sin (x)}{\cos (x)}$
44048	Find Trig Functions Using Identities	cos(theta)=4/7 , csc(theta)<0	$\cos (θ) = \frac{4}{7}$ , $\csc (θ) < 0$
44049	Find Trig Functions Using Identities	cos(180 degrees -theta)=-cos(theta)	$\cos (180 ° - θ) = - \cos (θ)$
44050	Find Trig Functions Using Identities	sin(15 degrees )	$\sin (15 °)$
44051	Write in Standard Form	square root of i	$\sqrt{i}$
44052	Write in Standard Form	1-i	$1 - i$
44053	Write in Standard Form	(6-2i)(2-3i)	$(6 - 2 i) (2 - 3 i)$
44054	Write in Standard Form	(-5 square root of 3)/2+5/2i	$\frac{- 5 \sqrt{3}}{2} + \frac{5}{2} i$
44055	Write in Standard Form	cube root of 8i	$\sqrt[3]{8 i}$
44056	Write in Standard Form	(-4+8i)/(-6i)	$\frac{- 4 + 8 i}{- 6 i}$
44057	Write in Standard Form	(-20+ square root of -50)/60	$\frac{- 20 + \sqrt{- 50}}{60}$
44058	Write in Standard Form	3/(1+2i)	$\frac{3}{1 + 2 i}$
44059	Write in Standard Form	6-8i	$6 - 8 i$
44060	Write in Standard Form	8x^2+9+5x^3	$8 x^{2} + 9 + 5 x^{3}$
44061	Convert to a Simplified Fraction	2.333	$2.333$
44062	Convert to a Simplified Fraction	6.2353535	$6.2353535$
44063	Find the Complement	62 degrees	$62 °$
44064	Convert to Regular Notation	4.1*10^-5	$4.1 \times 10^{- 5}$
44065	Write in Standard Form	pi/4	$\frac{π}{4}$
44066	Write in Standard Form	( square root of 2-i)^6	${(\sqrt{2} - i)}^{6}$
44067	Write in Standard Form	(- square root of 3-i)^6	${(- \sqrt{3} - i)}^{6}$
44068	Write in Standard Form	(-1+i)^7	${(- 1 + i)}^{7}$
44069	Convert to a Simplified Fraction	square root of 117	$\sqrt{117}$
44070	Convert to a Simplified Fraction	square root of 113	$\sqrt{113}$
44071	Convert to a Simplified Fraction	square root of 136	$\sqrt{136}$
44072	Convert to a Simplified Fraction	square root of 145	$\sqrt{145}$
44073	Convert to a Simplified Fraction	square root of 16	$\sqrt{16}$
44074	Convert to a Simplified Fraction	-0.30481062	$- 0.3048106$
44075	Convert to a Simplified Fraction	square root of 61	$\sqrt{61}$
44076	Combine	cos(5theta)+cos(3theta)	$\cos (5 θ) + \cos (3 θ)$
44077	Identify the Zeros and Their Multiplicities	f(x)=2x^4+x^3-7x^2-3x+3	$f (x) = 2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3$
44078	Solve the Triangle	a=15 , b=16 , A=60	$a = 15$ , $b = 16$ , $A = 60$
44079	Find the Tangent Given the Point	(-5/9,(2 square root of 14)/9)	$(- \frac{5}{9}, \frac{2 \sqrt{14}}{9})$
44080	Find the Tangent Given the Point	((2 square root of 6)/5,1/5)	$(\frac{2 \sqrt{6}}{5}, \frac{1}{5})$
44081	Find the Tangent Given the Point	[5/8,( square root of 39)/8]	$[\frac{5}{8}, \frac{\sqrt{39}}{8}]$
44082	Find the Tangent Given the Point	(5,7)	$(5, 7)$
44083	Find the Trig Value	tan(theta)=4/5	$\tan (θ) = \frac{4}{5}$
44084	Find the Trig Value	sin(theta)=5/6	$\sin (θ) = \frac{5}{6}$
44085	Find the Trig Value	sin(theta)=6/11	$\sin (θ) = \frac{6}{11}$
44086	Find the Trig Value	cos(theta)=12/13 , 270 degrees <theta<360 degrees	$\cos (θ) = \frac{12}{13}$ , $270 ° < θ < 360 °$
44087	Find the Trig Value	cos(theta)=15/17	$\cos (θ) = \frac{15}{17}$
44088	Find the Trig Value	sin(pi/2-theta)	$\sin (\frac{π}{2} - θ)$
44089	Find the Trig Value	sin(theta)=1/4 , 0<theta<pi/2	$\sin (θ) = \frac{1}{4}$ , $0 < θ < \frac{π}{2}$
44090	Find the Trig Value	sin(theta)=24/25	$\sin (θ) = \frac{24}{25}$
44091	Find the Trig Value	sin(theta)=24/25 , 90 degrees <theta<180 degrees	$\sin (θ) = \frac{24}{25}$ , $90 ° < θ < 180 °$
44092	Find the Trig Value	cot(theta)=-( square root of 5)/2 , pi/2<theta<pi , tan(theta)	$\cot (θ) = - \frac{\sqrt{5}}{2}$ , $\frac{π}{2} < θ < π$ , $\tan (θ)$
44093	Find the Trig Value	cot(theta)=3	$\cot (θ) = 3$
44094	Find the Trig Value	sec(theta)=16/13	$\sec (θ) = \frac{16}{13}$
44095	Find the Trig Value	csc(theta)=5/3	$\csc (θ) = \frac{5}{3}$
44096	Find the Trig Value	tan(theta)=15/8	$\tan (θ) = \frac{15}{8}$
44097	Find the Trig Value	(2/9,( square root of 77)/9)	$(\frac{2}{9}, \frac{\sqrt{77}}{9})$
44098	Evaluate the Function	f(x)=9x+5 , x=7	$f (x) = 9 x + 5$ , $x = 7$
44099	Evaluate the Function	f(x)=-4x^2+11x , x=10	$f (x) = - 4 x^{2} + 11 x$ , $x = 10$
44100	Evaluate the Function	f(x)=x^2-2	$f (x) = x^{2} - 2$