Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
42001	Solve for x	4^x=1024	$4^{x} = 1024$
42002	Determine the Nature of the Roots Using the Discriminant	5x^2=8x+6	$5 x^{2} = 8 x + 6$
42003	Solve for x	4^x=0.5	$4^{x} = 0.5$
42004	Determine the Nature of the Roots Using the Discriminant	6x^2+13x+6=0	$6 x^{2} + 13 x + 6 = 0$
42005	Solve for x	4^(4x-5)=8^(3x-4)	$4^{4 x - 5} = 8^{3 x - 4}$
42006	Determine the Nature of the Roots Using the Discriminant	-2x^2-9x-5=0	$- 2 x^{2} - 9 x - 5 = 0$
42007	Solve for x	3^(2x-1)=27	$3^{2 x - 1} = 27$
42008	Determine the Nature of the Roots Using the Discriminant	-2x^2+9x-2=0	$- 2 x^{2} + 9 x - 2 = 0$
42009	Determine the Nature of the Roots Using the Discriminant	2x^2+7x+6=0	$2 x^{2} + 7 x + 6 = 0$
42010	Solve for x	3^(2x+1)=27	$3^{2 x + 1} = 27$
42011	Determine the Nature of the Roots Using the Discriminant	x^2-40x+400=0	$x^{2} - 40 x + 400 = 0$
42012	Solve for x	3^(x^2)=9^x	$3^{x^{2}} = 9^{x}$
42013	Determine the Nature of the Roots Using the Discriminant	x^2-5x+7=0	$x^{2} - 5 x + 7 = 0$
42014	Solve for x	3^(x-1)=9^(x+2)	$3^{x - 1} = 9^{x + 2}$
42015	Determine the Nature of the Roots Using the Discriminant	16x^2+8x+1=0	$16 x^{2} + 8 x + 1 = 0$
42016	Solve for x	3/5x-5+x-4=-1	$\frac{3}{5} x - 5 + x - 4 = - 1$
42017	Find the Quotient of the Two Functions	P(x)=x^3-343 , d(x)=x+7	$P (x) = x^{3} - 343$ , $d (x) = x + 7$
42018	Solve for x	64^x=16^(x-1)	$64^{x} = 16^{x - 1}$
42019	Solve for x	64^x=16	$64^{x} = 16$
42020	Find the Foci	(x^2)/15+(y^2)/10=1	$\frac{x^{2}}{15} + \frac{y^{2}}{10} = 1$
42021	Solve for x	64^(3x)=16^(x+1)	$64^{3 x} = 16^{x + 1}$
42022	Find the Foci	(x^2)/18+(y^2)/9=1	$\frac{x^{2}}{18} + \frac{y^{2}}{9} = 1$
42023	Solve for x	5^x=29	$5^{x} = 29$
42024	Find the Foci	((y-21)^2)/(20^2)-((x+20)^2)/(21^2)=1	$\frac{{(y - 21)}^{2}}{20^{2}} - \frac{{(x + 20)}^{2}}{21^{2}} = 1$
42025	Solve for x	5^(3x-1)=125	$5^{3 x - 1} = 125$
42026	Find the Foci	((y+2)^2)/25-((x-3)^2)/4=1	$\frac{{(y + 2)}^{2}}{25} - \frac{{(x - 3)}^{2}}{4} = 1$
42027	Solve for x	5^(2x+3)=3^(x-1)	$5^{2 x + 3} = 3^{x - 1}$
42028	Find the Foci	((x-1)^2)/16-((y-1)^2)/9=1	$\frac{{(x - 1)}^{2}}{16} - \frac{{(y - 1)}^{2}}{9} = 1$
42029	Solve for x	5^(2x)=125	$5^{2 x} = 125$
42030	Find the Foci	((x-1)^2)/625+((y+1)^2)/225=1	$\frac{{(x - 1)}^{2}}{625} + \frac{{(y + 1)}^{2}}{225} = 1$
42031	Solve for x	5/6x-1/2=7	$\frac{5}{6} x - \frac{1}{2} = 7$
42032	Solve for x	5/6x-2/3=1	$\frac{5}{6} x - \frac{2}{3} = 1$
42033	Solve for x	log base 8 of 16=x	$\log_{8} (16) = x$
42034	Find the Foci	5x^2+9y^2=45	$5 x^{2} + 9 y^{2} = 45$
42035	Solve for x	log base 8 of 2+ log base 8 of 4x^2=1	$\log_{8} (2) + \log_{8} (4 x^{2}) = 1$
42036	Find the Foci	64x^2+81y^2=5184	$64 x^{2} + 81 y^{2} = 5184$
42037	Solve for x	log base 6 of 1/36=x	$\log_{6} (\frac{1}{36}) = x$
42038	Find the Foci	7x^2+5y^2=35	$7 x^{2} + 5 y^{2} = 35$
42039	Solve for x	log base 64 of 16=x	$\log_{64} (16) = x$
42040	Find the Foci	10x^2-36y^2=100	$10 x^{2} - 36 y^{2} = 100$
42041	Solve for x	log base 3 of x-4=2	$\log_{3} (x - 4) = 2$
42042	Find the Foci	(y^2)/36-(x^2)/81=1	$\frac{y^{2}}{36} - \frac{x^{2}}{81} = 1$
42043	Solve for x	log base 3 of x-5=2	$\log_{3} (x - 5) = 2$
42044	Find the Foci	(y^2)/36+(x^2)/64=1	$\frac{y^{2}}{36} + \frac{x^{2}}{64} = 1$
42045	Solve for x	log base 4 of 3x-5=3	$\log_{4} (3 x - 5) = 3$
42046	Find the Foci	(y^2)/225-(x^2)/400=1	$\frac{y^{2}}{225} - \frac{x^{2}}{400} = 1$
42047	Solve for x	square root of x=6	$\sqrt{x} = 6$
42048	Solve for x	square root of x-12+ square root of x+3=5	$\sqrt{x - 12} + \sqrt{x + 3} = 5$
42049	Find the Foci	(x^2)/9-((y-1)^2)/16=1	$\frac{x^{2}}{9} - \frac{{(y - 1)}^{2}}{16} = 1$
42050	Solve for x	square root of x-7+ square root of x+8=5	$\sqrt{x - 7} + \sqrt{x + 8} = 5$
42051	Solve for x	log base x of 4=1/3	$\log_{x} (4) = \frac{1}{3}$
42052	Solve for x	log base x of 4=1	$\log_{x} (4) = 1$
42053	Solve for x	(rs)/x=1/4	$\frac{r s}{x} = \frac{1}{4}$
42054	Find the Foci	(x^2)/49-(y^2)/16=1	$\frac{x^{2}}{49} - \frac{y^{2}}{16} = 1$
42055	Solve for x	log base 16 of 64=x	$\log_{16} (64) = x$
42056	Find the Foci	(x^2)/49-(y^2)/4=1	$\frac{x^{2}}{49} - \frac{y^{2}}{4} = 1$
42057	Solve for x	log base 2 of 2x+ log base 2 of x=5	$\log_{2} (2 x) + \log_{2} (x) = 5$
42058	Find the Foci	(x^2)/49-(y^2)/81=1	$\frac{x^{2}}{49} - \frac{y^{2}}{81} = 1$
42059	Solve for x	e^(3x)=2	$e^{3 x} = 2$
42060	Convert to Radical Form	((4^(5/4)*0.4^(1/4))/(4^(1/2)))^(1/2)	${(\frac{4^{\frac{5}{4}} \cdot {0.4}^{\frac{1}{4}}}{4^{\frac{1}{2}}})}^{\frac{1}{2}}$
42061	Solve for x	e^(2x)-16e^x+15=0	$e^{2 x} - 16 e^{x} + 15 = 0$
42062	Convert to Radical Form	(49/9)^(3/2)	${(\frac{49}{9})}^{\frac{3}{2}}$
42063	Solve for x	e^(11x-1)=(e^9)^x	$e^{11 x - 1} = {(e^{9})}^{x}$
42064	Convert to Radical Form	(1+2)^(1/2)	${(1 + 2)}^{\frac{1}{2}}$
42065	Solve for x	8^x=1/4	$8^{x} = \frac{1}{4}$
42066	Solve for x	9^(2x-1)=27^(x+4)	$9^{2 x - 1} = 27^{x + 4}$
42067	Convert to Radical Form	(16)^(-1/2)	${(16)}^{- \frac{1}{2}}$
42068	Solve for x	9^x=4	$9^{x} = 4$
42069	Convert to Radical Form	(16a^2b^4)^(1/4)	${(16 a^{2} b^{4})}^{\frac{1}{4}}$
42070	Convert to Radical Form	2 7/8/2 1/4	$\frac{2 \frac{7}{8}}{2 \frac{1}{4}}$
42071	Solve for H	s=2LW+2LH+2WH	$s = 2 L W + 2 L H + 2 W H$
42072	Convert to Radical Form	(27x)^(4/3)	${(27 x)}^{\frac{4}{3}}$
42073	Solve for h	-2\|h-7\|=-28	$- 2 \| h - 7 \| = - 28$
42074	Convert to Radical Form	(3 1/4)^3	${(3 \frac{1}{4})}^{3}$
42075	Solve for m	9m-4=-18+2m	$9 m - 4 = - 18 + 2 m$
42076	Convert to Radical Form	(32^(1/5))^-3	${(32^{\frac{1}{5}})}^{- 3}$
42077	Solve for m	15m+22=-7m+18	$15 m + 22 = - 7 m + 18$
42078	Convert to Radical Form	(3x^2y^2)^(1/2)	${(3 x^{2} y^{2})}^{\frac{1}{2}}$
42079	Solve for n	-9+n/4=-7	$- 9 + \frac{n}{4} = - 7$
42080	Solve for n	75=3(-6n-5)	$75 = 3 (- 6 n - 5)$
42081	Solve for n	3n-4=11	$3 n - 4 = 11$
42082	Convert to Radical Form	(4^13)^(9/7)	${(4^{13})}^{\frac{9}{7}}$
42083	Solve for n	-4n=28n-2	$- 4 n = 28 n - 2$
42084	Convert to Radical Form	(4r^2s^3t^4)^(2/5)	${(4 r^{2} s^{3} t^{4})}^{\frac{2}{5}}$
42085	Solve for n	L=a+(n-1)d	$L = a + (n - 1) d$
42086	Solve for n	n-8=-10	$n - 8 = - 10$
42087	Convert to Radical Form	(-4x)^(-1/3)	${(- 4 x)}^{- \frac{1}{3}}$
42088	Solve for n	s=180(n-2)	$s = 180 (n - 2)$
42089	Solve for c	2c-5=c+4	$2 c - 5 = c + 4$
42090	Convert to Radical Form	(54y)^(2/3)	${(54 y)}^{\frac{2}{3}}$
42091	Solve for b	a=(a+b+c)/3	$a = \frac{a + b + c}{3}$
42092	Solve for b	7b+3-4b=3-3(b+4)	$7 b + 3 - 4 b = 3 - 3 (b + 4)$
42093	Convert to Radical Form	(64x^5)^(2/3)	${(64 x^{5})}^{\frac{2}{3}}$
42094	Solve for B	log base B of 64=3	$\log_{B} (64) = 3$
42095	Solve for b	13=5+3b-13	$13 = 5 + 3 b - 13$
42096	Convert to Radical Form	(6x)^(5/7)+(5y)^(2/5)	${(6 x)}^{\frac{5}{7}} + {(5 y)}^{\frac{2}{5}}$
42097	Solve for b	3-2/9b=1/3b-7	$3 - \frac{2}{9} b = \frac{1}{3} b - 7$
42098	Solve for a	6^(-2a)=6^(2-3a)	$6^{- 2 a} = 6^{2 - 3 a}$
42099	Solve for a	ay-b=cz	$a y - b = c z$
42100	Convert to Radical Form	(7x+5)^(4/5)	${(7 x + 5)}^{\frac{4}{5}}$