Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
30101	Evaluate	natural log of e^(4x)	$\ln (e^{4 x})$
30102	Simplify	4(-10-9x)	$4 (- 10 - 9 x)$
30103	Evaluate	natural log of 1/(e^9)	$\ln (\frac{1}{e^{9}})$
30104	Find the Leading Coefficient	xy^4	$x y^{4}$
30105	Find the Leading Coefficient	4x^2+3x^9-6x^3+5x-8	$4 x^{2} + 3 x^{9} - 6 x^{3} + 5 x - 8$
30106	Evaluate	log of 72	$\log (72)$
30107	Find the Leading Coefficient	(-2/5x)(5y)(-2x)	$(- \frac{2}{5} x) (5 y) (- 2 x)$
30108	Evaluate	log of 80	$\log (80)$
30109	Find the Domain and Range	f=((1,0),(3,4),(5,2),(8,9))	$f = ((1, 0), (3, 4), (5, 2), (8, 9))$
30110	Evaluate	log of 94	$\log (94)$
30111	Find the Domain and Range	(-4,-2) , (3,5) , (0,4)	$(- 4, - 2)$ , $(3, 5)$ , $(0, 4)$
30112	Evaluate	log of e	$\log (e)$
30113	Find the Domain and Range	(-3,-9)	$(- 3, - 9)$
30114	Solve by Graphing	x-2y=10 , x+2y=-2	$x - 2 y = 10$ , $x + 2 y = - 2$
30115	Find the Domain and Range	(0,9) , (8,6)	$(0, 9)$ , $(8, 6)$
30116	Find the Domain and Range	(0,-5) , (1,3) , (-2,8) , (-1,6)	$(0, - 5)$ , $(1, 3)$ , $(- 2, 8)$ , $(- 1, 6)$
30117	Solve by Graphing	x+y=7 , y-x=7	$x + y = 7$ , $y - x = 7$
30118	Find the Domain and Range	{(2,8),(2,9),(2,10)}	${(2, 8), (2, 9), (2, 10)}$
30119	Solve by Graphing	x+y=9 , x-y=5	$x + y = 9$ , $x - y = 5$
30120	Find the Domain and Range	{(3,8),(3,9),(3,10)}	${(3, 8), (3, 9), (3, 10)}$
30121	Solve by Graphing	x+y=3 , y-x=3	$x + y = 3$ , $y - x = 3$
30122	Find the Domain and Range	{(3,5),(3,6),(3,7)}	${(3, 5), (3, 6), (3, 7)}$
30123	Solve for x	3x-4y=16	$3 x - 4 y = 16$
30124	Use the Rational Roots Test to Find All Possible Roots	f(x)=-121x^5-x^4+x+11	$f (x) = - 121 x^{5} - x^{4} + x + 11$
30125	Find the Quadrant	(-2,4)	$(- 2, 4)$
30126	Use the Rational Roots Test to Find All Possible Roots	f(x)=12x^3-91x^2+50x-7	$f (x) = 12 x^{3} - 91 x^{2} + 50 x - 7$
30127	Find the Equation Using Two Points	(1,3) , (3,4)	$(1, 3)$ , $(3, 4)$
30128	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^4-x^3+17x^2-9x-9	$f (x) = 2 x^{4} - x^{3} + 17 x^{2} - 9 x - 9$
30129	Simplify/Condense	log base 2 of 64- log base 2 of 4	$\log_{2} (64) - \log_{2} (4)$
30130	Simplify/Condense	log base 16 of 4	$\log_{16} (4)$
30131	Simplify/Condense	2 log base 5 of 12- log base 5 of 8-2 log base 5 of 3	$2 \log_{5} (12) - \log_{5} (8) - 2 \log_{5} (3)$
30132	Simplify/Condense	3 natural log of x-2 natural log of c	$3 \ln (x) - 2 \ln (c)$
30133	Expand the Logarithmic Expression	log base b of x/(yz)	$\log_{b} (\frac{x}{y z})$
30134	Expand the Logarithmic Expression	log base b of y^4x	$\log_{b} (y^{4} x)$
30135	Expand the Logarithmic Expression	log base 7 of 5x^3yz^2	$\log_{7} (5 x^{3} y z^{2})$
30136	Expand the Logarithmic Expression	log base b of (x^2y)/(z^5)	$\log_{b} (\frac{x^{2} y}{z^{5}})$
30137	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^5+14x^4+22x^3+12x^2-x-2	$f (x) = 3 x^{5} + 14 x^{4} + 22 x^{3} + 12 x^{2} - x - 2$
30138	Expand the Logarithmic Expression	log base 5 of 1/625	$\log_{5} (\frac{1}{625})$
30139	Expand the Logarithmic Expression	log base 5 of 10	$\log_{5} (10)$
30140	Use the Rational Roots Test to Find All Possible Roots	f(x)=6x^3-53x^2-11x+18	$f (x) = 6 x^{3} - 53 x^{2} - 11 x + 18$
30141	Expand the Logarithmic Expression	log base 16 of 2	$\log_{16} (2)$
30142	Simplify/Condense	log of 2+ log of 500	$\log (2) + \log (500)$
30143	Use the Rational Roots Test to Find All Possible Roots	f(x)=5x^3+2x^2-x-20	$f (x) = 5 x^{3} + 2 x^{2} - x - 20$
30144	Simplify/Condense	log of 4x+3- log of x	$\log (4 x + 3) - \log (x)$
30145	Simplify/Condense	natural log of x+ natural log of 9	$\ln (x) + \ln (9)$
30146	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^5-2x^4+8x^2-13x+6	$f (x) = x^{5} - 2 x^{4} + 8 x^{2} - 13 x + 6$
30147	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-7x^3+8x^2+28x-48	$f (x) = x^{4} - 7 x^{3} + 8 x^{2} + 28 x - 48$
30148	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4+x^3-7x^2-5x+10	$f (x) = x^{4} + x^{3} - 7 x^{2} - 5 x + 10$
30149	Find the Center and Radius	x^2+y^2-6x-10y+30=0	$x^{2} + y^{2} - 6 x - 10 y + 30 = 0$
30150	Find the Center and Radius	x^2+y^2+2x-2y-34=0	$x^{2} + y^{2} + 2 x - 2 y - 34 = 0$
30151	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4+6x^3+7x^2-6x-8	$f (x) = x^{4} + 6 x^{3} + 7 x^{2} - 6 x - 8$
30152	Evaluate	0/-9	$\frac{0}{- 9}$
30153	Evaluate	-\|-2\|	$- \| - 2 \|$
30154	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+4x^2-184x-187	$f (x) = x^{3} + 4 x^{2} - 184 x - 187$
30155	Evaluate	\|-11\|	$\| - 11 \|$
30156	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+4x^2-116x-119	$f (x) = x^{3} + 4 x^{2} - 116 x - 119$
30157	Evaluate	1/81	$\frac{1}{81}$
30158	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+5x^2-11x-15	$f (x) = x^{3} + 5 x^{2} - 11 x - 15$
30159	Evaluate	100/20	$\frac{100}{20}$
30160	Evaluate	100/3	$\frac{100}{3}$
30161	Evaluate	1/4+3/5	$\frac{1}{4} + \frac{3}{5}$
30162	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-7x^2-12x-6	$f (x) = x^{3} - 7 x^{2} - 12 x - 6$
30163	Evaluate	2/3-1/2	$\frac{2}{3} - \frac{1}{2}$
30164	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-60x-65	$f (x) = x^{3} + 6 x^{2} - 60 x - 65$
30165	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-72x-77	$f (x) = x^{3} + 6 x^{2} - 72 x - 77$
30166	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+9x^2-179x-187	$f (x) = x^{3} + 9 x^{2} - 179 x - 187$
30167	Evaluate	1/2*-3	$\frac{1}{2} \cdot - 3$
30168	Evaluate	(5.210^13)(7.110^-22)	$(5.2 \cdot 10^{13}) (7.1 \cdot 10^{- 22})$
30169	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+9x^2-77x-85	$f (x) = x^{3} + 9 x^{2} - 77 x - 85$
30170	Evaluate	(16/81)^(1/2)	${(\frac{16}{81})}^{\frac{1}{2}}$
30171	Evaluate	(16/25)^(-3/2)	${(\frac{16}{25})}^{- \frac{3}{2}}$
30172	Evaluate	(1/8)^-3	${(\frac{1}{8})}^{- 3}$
30173	Evaluate	(10/2)^2	${(\frac{10}{2})}^{2}$
30174	Evaluate	(100/81)^(3/2)	${(\frac{100}{81})}^{\frac{3}{2}}$
30175	Find the Next Term	3 , -6 , 12 , -24 , 48	$3$ , $- 6$ , $12$ , $- 24$ , $48$
30176	Evaluate	(64)^(-4/3)	${(64)}^{- \frac{4}{3}}$
30177	Find the Next Term	333 1/3 , 250 , 187 1/2	$333 \frac{1}{3}$ , $250$ , $187 \frac{1}{2}$
30178	Find the Next Term	-8 , 24 , -72 , 216	$- 8$ , $24$ , $- 72$ , $216$
30179	Evaluate	(8500)^(-1/3)	${(8500)}^{- \frac{1}{3}}$
30180	Find the Next Term	-1 , -6 , -36 , -216	$- 1$ , $- 6$ , $- 36$ , $- 216$
30181	Find the Next Term	1/3 , 2 , 12 , 72	$\frac{1}{3}$ , $2$ , $12$ , $72$
30182	Evaluate	(6^(2/3))^(1/2)	${(6^{\frac{2}{3}})}^{\frac{1}{2}}$
30183	Evaluate	(5^3)^2	${(5^{3})}^{2}$
30184	Find Amplitude, Period, and Phase Shift	y=1/2sin(x)	$y = \frac{1}{2} \sin (x)$
30185	Evaluate	(8/2)^2	${(\frac{8}{2})}^{2}$
30186	Evaluate	(9/16)^(1/2)	${(\frac{9}{16})}^{\frac{1}{2}}$
30187	Evaluate	(0.6)^2	${(0.6)}^{2}$
30188	Convert to a Simplified Fraction	2.75	$2.75$
30189	Convert to a Simplified Fraction	3.25	$3.25$
30190	Evaluate	2/3-3/4	$\frac{2}{3} - \frac{3}{4}$
30191	Evaluate	2/13	$\frac{2}{13}$
30192	Evaluate	15^0	$15^{0}$
30193	Find Amplitude, Period, and Phase Shift	y=6sin(8(x-pi/2))	$y = 6 \sin (8 (x - \frac{π}{2}))$
30194	Evaluate	16^(-5/2)	$16^{- \frac{5}{2}}$
30195	Evaluate	16/100	$\frac{16}{100}$
30196	Evaluate	125/3	$\frac{125}{3}$
30197	Find Amplitude, Period, and Phase Shift	y=-sin(8x-3)+5	$y = - \sin (8 x - 3) + 5$
30198	Evaluate	-12/2	$- \frac{12}{2}$
30199	Evaluate	20/60	$\frac{20}{60}$
30200	Evaluate	20/28	$\frac{20}{28}$