Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
83101	Solve for x	2^(3x)=91	$2^{3 x} = 91$
83102	Solve for x	2^x=21	$2^{x} = 21$
83103	Solve for x	2^x=26	$2^{x} = 26$
83104	Convert to Rectangular	4(cos(300)+isin(300))	$4 (\cos (300) + i \sin (300))$
83105	Solve for x	2^x=19	$2^{x} = 19$
83106	Convert to Rectangular	7(cos((11pi)/6)+isin((11pi)/6))	$7 (\cos (\frac{11 π}{6}) + i \sin (\frac{11 π}{6}))$
83107	Solve for x	25^x=1/5	$25^{x} = \frac{1}{5}$
83108	Find the Eigenvectors/Eigenspace	[[-13,-8,-4],[12,7,4],[24,16,7]]	$[\begin{array}{c} - 13 & - 8 & - 4 \\ 12 & 7 & 4 \\ 24 & 16 & 7 \end{array}]$
83109	Solve for x	25^x+5^(x+1)-66=0	$25^{x} + 5^{x + 1} - 66 = 0$
83110	Solve for x	25^(2x)=125	$25^{2 x} = 125$
83111	Find All Integers k Such That the Trinomial Can Be Factored	100x^2+kx+64	$100 x^{2} + k x + 64$
83112	Solve for x	25^(x^2)*5^(3x)=25	$25^{x^{2}} \cdot 5^{3 x} = 25$
83113	Find All Integers k Such That the Trinomial Can Be Factored	4x^2-kx+49	$4 x^{2} - k x + 49$
83114	Solve for x	256^(5x)=64^(x+1)	$256^{5 x} = 64^{x + 1}$
83115	Solve for x	256^(5x)=64^(x+3)	$256^{5 x} = 64^{x + 3}$
83116	Expand Using the Binomial Theorem	(z-3)^7	${(z - 3)}^{7}$
83117	Solve for x	(25x)/5-7x=12	$\frac{25 x}{5} - 7 x = 12$
83118	Expand Using the Binomial Theorem	(qx+sy)^5	${(q x + s y)}^{5}$
83119	Solve for x	27^(5x)=9^(x+3)	$27^{5 x} = 9^{x + 3}$
83120	Expand Using the Binomial Theorem	(r+4)^3	${(r + 4)}^{3}$
83121	Solve for x	27^x=1/( square root of 3)	$27^{x} = \frac{1}{\sqrt{3}}$
83122	Expand Using the Binomial Theorem	(s-5v)^5	${(s - 5 v)}^{5}$
83123	Solve for x	27^x=1/9	$27^{x} = \frac{1}{9}$
83124	Expand Using the Binomial Theorem	(p-q)^3	${(p - q)}^{3}$
83125	Solve for x	(2x)/3=x/6+1	$\frac{2 x}{3} = \frac{x}{6} + 1$
83126	Expand Using the Binomial Theorem	(p+q)^7	${(p + q)}^{7}$
83127	Solve for x	\|2x-1\|<=5	$\| 2 x - 1 \| \leq 5$
83128	Expand Using the Binomial Theorem	(p-2q)^6	${(p - 2 q)}^{6}$
83129	Solve for x	2/(x^2-1)=4/(x+1)	$\frac{2}{x^{2} - 1} = \frac{4}{x + 1}$
83130	Solve for x	2/7x+4/7=-4/7	$\frac{2}{7} x + \frac{4}{7} = - \frac{4}{7}$
83131	Solve for x	2/9x=2/3	$\frac{2}{9} x = \frac{2}{3}$
83132	Solve for x	2/5x-1/3x=4	$\frac{2}{5} x - \frac{1}{3} x = 4$
83133	Expand Using the Binomial Theorem	(v-u)^6	${(v - u)}^{6}$
83134	Expand Using the Binomial Theorem	(c+3)^5	${(c + 3)}^{5}$
83135	Solve for x	2/3x=-8	$\frac{2}{3} x = - 8$
83136	Expand Using the Binomial Theorem	(c+5)^5	${(c + 5)}^{5}$
83137	Solve for x	(16x^2-9)/(4x+3)=-6	$\frac{16 x^{2} - 9}{4 x + 3} = - 6$
83138	Solve for x	14^x=5	$14^{x} = 5$
83139	Expand Using the Binomial Theorem	(c+9)^5	${(c + 9)}^{5}$
83140	Solve for x	16^(x+1)=8^(2x+1)	$16^{x + 1} = 8^{2 x + 1}$
83141	Expand Using the Binomial Theorem	(ax-by)^3	${(a x - b y)}^{3}$
83142	Solve for x	13^(x+2)=5	$13^{x + 2} = 5$
83143	Expand Using the Binomial Theorem	(m+2n-3f)^2	${(m + 2 n - 3 f)}^{2}$
83144	Expand Using the Binomial Theorem	(-a+b)^5	${(- a + b)}^{5}$
83145	Solve for x	11^2+10^2=x^2	$11^{2} + 10^{2} = x^{2}$
83146	Expand Using the Binomial Theorem	(a+b)^1	${(a + b)}^{1}$
83147	Simplify	-2a(b+3-2a)	$- 2 a (b + 3 - 2 a)$
83148	Solve for a	A=3pa^2	$A = 3 p a^{2}$
83149	Solve for a	6a-6=2a+14	$6 a - 6 = 2 a + 14$
83150	Expand Using the Binomial Theorem	(a-7b)^3	${(a - 7 b)}^{3}$
83151	Solve for a	a-1/2=3/5	$a - \frac{1}{2} = \frac{3}{5}$
83152	Expand Using the Binomial Theorem	(a-b^2)^5	${(a - b^{2})}^{5}$
83153	Solve for b	1/16=b^-2	$\frac{1}{16} = b^{- 2}$
83154	Solve for a	P=a+3b+4c	$P = a + 3 b + 4 c$
83155	Solve for a	t = square root of (4p^2R)/a	$t = \sqrt{\frac{4 p^{2} R}{a}}$
83156	Expand Using the Binomial Theorem	(x^2-1/x)^15	${(x^{2} - \frac{1}{x})}^{15}$
83157	Expand Using the Binomial Theorem	(x- square root of 3)^2	${(x - \sqrt{3})}^{2}$
83158	Solve for a	G=(ab)/z	$G = \frac{a b}{z}$
83159	Expand Using the Binomial Theorem	(x^2-3)^4	${(x^{2} - 3)}^{4}$
83160	Simplify	6/( square root of 2- square root of 3)	$\frac{6}{\sqrt{2} - \sqrt{3}}$
83161	Expand Using the Binomial Theorem	(x^2-1)^3	${(x^{2} - 1)}^{3}$
83162	Solve for y	2/3(y+2)-5/6(y-1)=5/4*(y-3)-4	$\frac{2}{3} \cdot (y + 2) - \frac{5}{6} \cdot (y - 1) = \frac{5}{4} \cdot (y - 3) - 4$
83163	Expand Using the Binomial Theorem	(x^2-1)^4	${(x^{2} - 1)}^{4}$
83164	Solve for a	3/c=1/a+5/b	$\frac{3}{c} = \frac{1}{a} + \frac{5}{b}$
83165	Solve for a	\|-3a\|=24	$\| - 3 a \| = 24$
83166	Expand Using the Binomial Theorem	(x^3+3y)^4	${(x^{3} + 3 y)}^{4}$
83167	Solve for a	1/10(a+2)=1/4(2-a)	$\frac{1}{10} \cdot (a + 2) = \frac{1}{4} \cdot (2 - a)$
83168	Graph	((x-3)^2)/9-((y-2)^2)/16=1	$\frac{{(x - 3)}^{2}}{9} - \frac{{(y - 2)}^{2}}{16} = 1$
83169	Solve for a	4=3a-14	$4 = 3 a - 14$
83170	Expand Using the Binomial Theorem	(x^4+y^5)^9	${(x^{4} + y^{5})}^{9}$
83171	Solve for a	-3e^(7a+9)+6=-6	$- 3 e^{7 a + 9} + 6 = - 6$
83172	Expand Using the Binomial Theorem	(x+1/x)^3	${(x + \frac{1}{x})}^{3}$
83173	Solve for a	20-a=10a-2	$20 - a = 10 a - 2$
83174	Expand Using the Binomial Theorem	(x+ square root of 3)^2	${(x + \sqrt{3})}^{2}$
83175	Solve for x	14x+2=12x	$14 x + 2 = 12 x$
83176	Expand Using the Binomial Theorem	(x+ square root of 5/3y)^4	${(x + \sqrt{\frac{5}{3}} y)}^{4}$
83177	Solve for a	1+a/5=-1	$1 + \frac{a}{5} = - 1$
83178	Expand Using the Binomial Theorem	(x-y^2)^3	${(x - y^{2})}^{3}$
83179	Expand Using the Binomial Theorem	(x-3y)^14	${(x - 3 y)}^{14}$
83180	Solve for b	log of 16+2b = log of b^2-4b	$\log (16 + 2 b) = \log (b^{2} - 4 b)$
83181	Solve for b	t=(2u)/(b+e)	$t = \frac{2 u}{b + e}$
83182	Expand Using the Binomial Theorem	(x-3i)^3	${(x - 3 i)}^{3}$
83183	Solve for c	-3c-12=-5+c	$- 3 c - 12 = - 5 + c$
83184	Expand Using the Binomial Theorem	(y+3)^5	${(y + 3)}^{5}$
83185	Solve for c	-19+c/3=8	$- 19 + \frac{c}{3} = 8$
83186	Solve for C	A=2/9*(B+C)	$A = \frac{2}{9} \cdot (B + C)$
83187	Expand Using the Binomial Theorem	(y-5x)^3	${(y - 5 x)}^{3}$
83188	Solve for c	-9c-12+3c=12	$- 9 c - 12 + 3 c = 12$
83189	Expand Using the Binomial Theorem	(x+a)^2	${(x + a)}^{2}$
83190	Solve for c	5c-4-2c+1=8c+2	$5 c - 4 - 2 c + 1 = 8 c + 2$
83191	Expand Using the Binomial Theorem	(x+y)^18	${(x + y)}^{18}$
83192	Solve Using the Quadratic Formula	(y-3)^2=4y-12	${(y - 3)}^{2} = 4 y - 12$
83193	Expand Using the Binomial Theorem	(x-2y)^11	${(x - 2 y)}^{11}$
83194	Solve for b	10=(2)(-2)+b	$10 = (2) (- 2) + b$
83195	Expand Using the Binomial Theorem	(x-1)^9	${(x - 1)}^{9}$
83196	Factor	25g^2+60gh+36h^2	$25 g^{2} + 60 g h + 36 h^{2}$
83197	Expand Using the Binomial Theorem	(x+6)^5	${(x + 6)}^{5}$
83198	Solve for b	6+3b=-18	$6 + 3 b = - 18$
83199	Expand Using the Binomial Theorem	(x+6)^6	${(x + 6)}^{6}$
83200	Solve for b	4b+6=-2	$4 b + 6 = - 2$