Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
74001	Solve for x	e^(6x+1) = fifth root of e	$e^{6 x + 1} = \sqrt[5]{e}$
74002	Solve for x	e^3=x	$e^{3} = x$
74003	Find the Maximum/Minimum Value	f(x)=-0.03x^2+2.1x+5.6	$f (x) = - 0.03 x^{2} + 2.1 x + 5.6$
74004	Solve for x	81^(3x)=27^(x+1)	$81^{3 x} = 27^{x + 1}$
74005	Find the Maximum/Minimum Value	f(x)=-0.06x^2+2.7x+6.3	$f (x) = - 0.06 x^{2} + 2.7 x + 6.3$
74006	Solve for x	81^(3x-6)=729^(x+2)	$81^{3 x - 6} = 729^{x + 2}$
74007	Find the Maximum/Minimum Value	f(x)=-0.1x^2+0.8x+5	$f (x) = - 0.1 x^{2} + 0.8 x + 5$
74008	Solve for x	8^(5x)=16^(3x+4)	$8^{5 x} = 16^{3 x + 4}$
74009	Find the Maximum/Minimum Value	f(x)=-0.1x^2+1.4x+6	$f (x) = - 0.1 x^{2} + 1.4 x + 6$
74010	Solve for x	9/6=x/10	$\frac{9}{6} = \frac{x}{10}$
74011	Find the Maximum/Minimum Value	f(x)=0.1x^3-0.6x^2-0.1x+2	$f (x) = 0.1 x^{3} - 0.6 x^{2} - 0.1 x + 2$
74012	Solve for x	9^x=1/( cube root of 3)	$9^{x} = \frac{1}{\sqrt[3]{3}}$
74013	Solve for x	9^x=1/3	$9^{x} = \frac{1}{3}$
74014	Find the Maximum/Minimum Value	f(x)=-0.3x^3-0.5x^2+4x-5	$f (x) = - 0.3 x^{3} - 0.5 x^{2} + 4 x - 5$
74015	Solve for x	9^(8x)=27	$9^{8 x} = 27$
74016	Find the Maximum/Minimum Value	f(x)=-0.5x^2+2.7x+8	$f (x) = - 0.5 x^{2} + 2.7 x + 8$
74017	Solve for x	9^(x+1)=27^(x-1)	$9^{x + 1} = 27^{x - 1}$
74018	Find the Maximum/Minimum Value	f(x)=-0.6x^2+2.7x+6	$f (x) = - 0.6 x^{2} + 2.7 x + 6$
74019	Solve for x	9^(x+2)=(1/27)^(1-x)	$9^{x + 2} = {(\frac{1}{27})}^{1 - x}$
74020	Find the Maximum/Minimum Value	f(x)=1+3x-x^2	$f (x) = 1 + 3 x - x^{2}$
74021	Solve for k	280=k(80)^2	$280 = k {(80)}^{2}$
74022	Find the Maximum/Minimum Value	f(x)=116x-16x^2	$f (x) = 116 x - 16 x^{2}$
74023	Solve for k	20=k(20)^2	$20 = k {(20)}^{2}$
74024	Find the Maximum/Minimum Value	f(x)=11x^2-11x	$f (x) = 11 x^{2} - 11 x$
74025	Solve for k	k/4+6=-2	$\frac{k}{4} + 6 = - 2$
74026	Find the Maximum/Minimum Value	f(x)=14x-x^2	$f (x) = 14 x - x^{2}$
74027	Solve for K	64=K(2)^2	$64 = K {(2)}^{2}$
74028	Find the Maximum/Minimum Value	f(x)=-16(x-2)^2+64	$f (x) = - 16 {(x - 2)}^{2} + 64$
74029	Solve for k	-9+8k=7+4k	$- 9 + 8 k = 7 + 4 k$
74030	Find the Maximum/Minimum Value	f(x)=-16x^2+96x+4	$f (x) = - 16 x^{2} + 96 x + 4$
74031	Solve for k	8-3/8k=-4	$8 - \frac{3}{8} k = - 4$
74032	Find the Maximum/Minimum Value	f(x)=-16x^2+96x+6	$f (x) = - 16 x^{2} + 96 x + 6$
74033	Solve for j	j/6-9=5/6	$\frac{j}{6} - 9 = \frac{5}{6}$
74034	Find the Maximum/Minimum Value	f(x)=1-6x-x^2	$f (x) = 1 - 6 x - x^{2}$
74035	Solve for h	v=pr^(2h)	$v = p r^{2 h}$
74036	Find the Maximum/Minimum Value	f(x)=1-8x-x^2	$f (x) = 1 - 8 x - x^{2}$
74037	Solve for h	h=-16t^2+36	$h = - 16 t^{2} + 36$
74038	Find the Maximum/Minimum Value	f(x)=1-x-x^2	$f (x) = 1 - x - x^{2}$
74039	Solve for h	h=448t-32t^2	$h = 448 t - 32 t^{2}$
74040	Solve for x	square root of x+ square root of x-5=1	$\sqrt{x} + \sqrt{x - 5} = 1$
74041	Find the Maximum/Minimum Value	f(x)=-2(x-1)^2+2	$f (x) = - 2 {(x - 1)}^{2} + 2$
74042	Simplify	(4a^2-3b^2)(16a^4+12a^2b^2+9b^4)	$(4 a^{2} - 3 b^{2}) (16 a^{4} + 12 a^{2} b^{2} + 9 b^{4})$
74043	Solve for k	3/4k-5=1/4k-1	$\frac{3}{4} k - 5 = \frac{1}{4} k - 1$
74044	Find the Maximum/Minimum Value	f(x)=2(x-7)^2-3	$f (x) = 2 {(x - 7)}^{2} - 3$
74045	Solve for j	42j+18-19j=-28	$42 j + 18 - 19 j = - 28$
74046	Find the Maximum/Minimum Value	f(x)=2+5x-x^2	$f (x) = 2 + 5 x - x^{2}$
74047	Solve for h	f=3gh	$f = 3 g h$
74048	Find the Maximum/Minimum Value	f(x)=20x-x^2	$f (x) = 20 x - x^{2}$
74049	Solve for h	f=12gh	$f = 12 g h$
74050	Find the Maximum/Minimum Value	f(x)=25x^2-28x+585	$f (x) = 25 x^{2} - 28 x + 585$
74051	Solve for m	6(3m+5)=66	$6 (3 m + 5) = 66$
74052	Find the Maximum/Minimum Value	f(x)=26x-x^2	$f (x) = 26 x - x^{2}$
74053	Solve for m	m=2/3	$m = \frac{2}{3}$
74054	Simplify	(n^3+5)(n^3-5)	$(n^{3} + 5) (n^{3} - 5)$
74055	Solve for M	P=2M+2G	$P = 2 M + 2 G$
74056	Find the Maximum/Minimum Value	f(x)=2x^2+12x+14	$f (x) = 2 x^{2} + 12 x + 14$
74057	Solve for n	1/2*(n-4)-3=3-(2n+3)	$\frac{1}{2} \cdot (n - 4) - 3 = 3 - (2 n + 3)$
74058	Find the Maximum/Minimum Value	f(x)=2x^2+12x+19	$f (x) = 2 x^{2} + 12 x + 19$
74059	Solve for n	1296^(2n)=216^(n+10)	$1296^{2 n} = 216^{n + 10}$
74060	Solve for n	4^(3n)=5	$4^{3 n} = 5$
74061	Find the Maximum/Minimum Value	f(x)=2x^2+16x+31	$f (x) = 2 x^{2} + 16 x + 31$
74062	Solve for m	F=(mv^2)/r	$F = \frac{m v^{2}}{r}$
74063	Solve for l	10lw=v	$10 l w = v$
74064	Find the Maximum/Minimum Value	f(x)=-2x^2+16x-33	$f (x) = - 2 x^{2} + 16 x - 33$
74065	Solve for m	(2m^2+3m-5)/(m^2+4m-5)=4	$\frac{2 m^{2} + 3 m - 5}{m^{2} + 4 m - 5} = 4$
74066	Solve for m	-3/4m+3=8	$- \frac{3}{4} m + 3 = 8$
74067	Find the Maximum/Minimum Value	f(x)=-2x^2+16x-36	$f (x) = - 2 x^{2} + 16 x - 36$
74068	Solve for q	-q-11=2q+4	$- q - 11 = 2 q + 4$
74069	Solve for r	1/5(r+6)=1/7(r+8)	$\frac{1}{5} \cdot (r + 6) = \frac{1}{7} \cdot (r + 8)$
74070	Solve for q	11(2q-8)=-4(7-3q)	$11 (2 q - 8) = - 4 (7 - 3 q)$
74071	Solve for q	-15=5(3q-10)-5q	$- 15 = 5 (3 q - 10) - 5 q$
74072	Solve for q	3(q-5)=2(q+5)	$3 (q - 5) = 2 (q + 5)$
74073	Solve for r	r^(2/7)=4	$r^{\frac{2}{7}} = 4$
74074	Find the Maximum/Minimum Value	f(x)=2x^2+3x-2	$f (x) = 2 x^{2} + 3 x - 2$
74075	Solve for r	2r-20=(r-10)+25	$2 r - 20 = (r - 10) + 25$
74076	Find the Maximum/Minimum Value	f(x)=2x^2+4x-12	$f (x) = 2 x^{2} + 4 x - 12$
74077	Solve for r	-18-11r=26	$- 18 - 11 r = 26$
74078	Solve for p	c = square root of (ev)/p	$c = \sqrt{\frac{e v}{p}}$
74079	Solve for p	c=5p+215	$c = 5 p + 215$
74080	Solve for p	-4=2p+10	$- 4 = 2 p + 10$
74081	Solve for p	5p-1=2p+20	$5 p - 1 = 2 p + 20$
74082	Find the Maximum/Minimum Value	f(x)=-2x^2-12x-15	$f (x) = - 2 x^{2} - 12 x - 15$
74083	Solve for p	p=4s	$p = 4 s$
74084	Find the Maximum/Minimum Value	f(x)=-2x^2-12x-17	$f (x) = - 2 x^{2} - 12 x - 17$
74085	Solve for n	-16+5n=-7(-6+8n)+3	$- 16 + 5 n = - 7 (- 6 + 8 n) + 3$
74086	Find the Maximum/Minimum Value	f(x)=2x^2-16x+29	$f (x) = 2 x^{2} - 16 x + 29$
74087	Solve for n	2(9n-1)+7(n+6)=-60	$2 (9 n - 1) + 7 (n + 6) = - 60$
74088	Find the Maximum/Minimum Value	f(x)=-2x^2-16x-28	$f (x) = - 2 x^{2} - 16 x - 28$
74089	Solve for f	1/f=1/a+1/b	$\frac{1}{f} = \frac{1}{a} + \frac{1}{b}$
74090	Find the Maximum/Minimum Value	f(x)=-2x^2-20x-51	$f (x) = - 2 x^{2} - 20 x - 51$
74091	Solve for g	5(g+8)-7=103	$5 (g + 8) - 7 = 103$
74092	Find the Maximum/Minimum Value	f(x)=2x^2-4x+9	$f (x) = 2 x^{2} - 4 x + 9$
74093	Solve for g	12.5=2g-3.5	$12.5 = 2 g - 3.5$
74094	Solve for d	3d+d-7=25/4	$3 d + d - 7 = \frac{25}{4}$
74095	Solve for d	s=a+(n-1)d	$s = a + (n - 1) d$
74096	Find the Maximum/Minimum Value	f(x)=2x^2-x-6	$f (x) = 2 x^{2} - x - 6$
74097	Solve for d	l=a+(n-1)d	$l = a + (n - 1) d$
74098	Find the Maximum/Minimum Value	f(x)=2x^3+6x^2-18x+1	$f (x) = 2 x^{3} + 6 x^{2} - 18 x + 1$
74099	Solve for c	c=5/9*(50-32)	$c = \frac{5}{9} \cdot (50 - 32)$
74100	Solve for b	A=(bh)/2	$A = \frac{b h}{2}$