Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1801	Simplify/Condense	2 log of x+3 log of y-6 log of z	$2 \log (x) + 3 \log (y) - 6 \log (z)$
1802	Simplify/Condense	2 natural log of x-1/2 natural log of x+5	$2 \ln (x - \frac{1}{2}) \ln (x + 5)$
1803	Simplify/Condense	3 natural log of x^3y+2 natural log of yz^2	$3 \ln (x^{3} y) + 2 \ln (y z^{2})$
1804	Find the Center and Radius	x^2+y^2+8x-6y-24=0	$x^{2} + y^{2} + 8 x - 6 y - 24 = 0$
1805	Find the Center and Radius	x^2+y^2+x+y-1/2=0	$x^{2} + y^{2} + x + y - \frac{1}{2} = 0$
1806	Find the Center and Radius	x^2+y^2-6x+16y+57=0	$x^{2} + y^{2} - 6 x + 16 y + 57 = 0$
1807	Find the Center and Radius	x^2+y^2-4x-14y+50=0	$x^{2} + y^{2} - 4 x - 14 y + 50 = 0$
1808	Find the Center and Radius	x^2+y^2+4x-7=0	$x^{2} + y^{2} + 4 x - 7 = 0$
1809	Find the Center and Radius	x^2+y^2+4x-6y-23=0	$x^{2} + y^{2} + 4 x - 6 y - 23 = 0$
1810	Find the Center and Radius	x^2+y^2+12x+2y+28=0	$x^{2} + y^{2} + 12 x + 2 y + 28 = 0$
1811	Find the Center and Radius	3x^2+3y^2+6x-y=0	$3 x^{2} + 3 y^{2} + 6 x - y = 0$
1812	Find the Center and Radius	3x^2+3y^2-6x+12y=0	$3 x^{2} + 3 y^{2} - 6 x + 12 y = 0$
1813	Find the Center and Radius	2x^2+2y^2-4x=0	$2 x^{2} + 2 y^{2} - 4 x = 0$
1814	Find the Center and Radius	4x^2+4y^2+4x+4y-2=0	$4 x^{2} + 4 y^{2} + 4 x + 4 y - 2 = 0$
1815	Find the Center and Radius	4x^2+48x+4y^2=0	$4 x^{2} + 48 x + 4 y^{2} = 0$
1816	Find the Center and Radius	6x^2+6y^2-12x+36y-36=0	$6 x^{2} + 6 y^{2} - 12 x + 36 y - 36 = 0$
1817	Find the Center and Radius	x^2+y^2-6y-7=0	$x^{2} + y^{2} - 6 y - 7 = 0$
1818	Find the Center and Radius	y^2+4x-20-2y=-x^2	$y^{2} + 4 x - 20 - 2 y = - x^{2}$
1819	Find the Center and Radius	2x^2+2y^2+8x+7=0	$2 x^{2} + 2 y^{2} + 8 x + 7 = 0$
1820	Simplify/Condense	( log base 5 of x)/3+( log base 5 of y)/3+( log base 5 of z)/3*( log base 5 of w)/3	$\frac{\log_{5} (x)}{3} + \frac{\log_{5} (y)}{3} + \frac{\log_{5} (z)}{3} \cdot \frac{\log_{5} (w)}{3}$
1821	Solve for x	square root of 3x+x=0	$\sqrt{3 x} + x = 0$
1822	Find the Properties	y=1/2x^2	$y = \frac{1}{2} x^{2}$
1823	Find the Properties	x=1/4y^2	$x = \frac{1}{4} y^{2}$
1824	Find the Properties	x^2+y^2=100	$x^{2} + y^{2} = 100$
1825	Find the Properties	(x^2)/25+(y^2)/64=1	$\frac{x^{2}}{25} + \frac{y^{2}}{64} = 1$
1826	Find the Properties	x^2+y^2=81	$x^{2} + y^{2} = 81$
1827	Find the Properties	7x^2+x+7y^2+7y-1=0	$7 x^{2} + x + 7 y^{2} + 7 y - 1 = 0$
1828	Find the Properties	y^2+6y-2x+13=0	$y^{2} + 6 y - 2 x + 13 = 0$
1829	Simplify	8-2(3-(5x-1))	$8 - 2 (3 - (5 x - 1))$
1830	Find the Properties	y^2=-20x	$y^{2} = - 20 x$
1831	Find the Properties	y^2=24x	$y^{2} = 24 x$
1832	Find the Properties	y^2=28x	$y^{2} = 28 x$
1833	Find the Properties	x^2=-20y	$x^{2} = - 20 y$
1834	Find the Domain	f(x) = square root of x^2-1	$f (x) = \sqrt{x^{2} - 1}$
1835	Find the Properties	9x^2-16y^2=144	$9 x^{2} - 16 y^{2} = 144$
1836	Find the Center and Radius	(x+5)^2+(y-10)^2=9	${(x + 5)}^{2} + {(y - 10)}^{2} = 9$
1837	Find the Center and Radius	(x+4)^2+(y-1)^2=9	${(x + 4)}^{2} + {(y - 1)}^{2} = 9$
1838	Convert to Polar Coordinates	(5,(5pi)/3)	$(5, \frac{5 π}{3})$
1839	Convert to Polar Coordinates	(5,pi/3)	$(5, \frac{π}{3})$
1840	Convert to Polar Coordinates	(4,6)	$(4, 6)$
1841	Convert to Polar Coordinates	(-4,8)	$(- 4, 8)$
1842	Convert to Polar Coordinates	(5,120)	$(5, 120)$
1843	Find the Slope	(3,-7) , (4,6)	$(3, - 7) (4, 6)$
1844	Find the Slope	(4,-2) , (7,-2)	$(4, - 2) (7, - 2)$
1845	Convert to Polar Coordinates	(3,2)	$(3, 2)$
1846	Convert to Polar Coordinates	(3,pi/4)	$(3, \frac{π}{4})$
1847	Convert to Polar Coordinates	(-3,pi/6)	$(- 3, \frac{π}{6})$
1848	Convert to Polar Coordinates	(3,pi/2)	$(3, \frac{π}{2})$
1849	Convert to Polar Coordinates	(2,5)	$(2, 5)$
1850	Convert to Polar Coordinates	(4,1)	$(4, 1)$
1851	Convert to Polar Coordinates	(2,-3)	$(2, - 3)$
1852	Convert to Polar Coordinates	(2,(5pi)/4)	$(2, \frac{5 π}{4})$
1853	Find the Equation Using Two Points	(0,3) , (4,0)	$(0, 3)$ , $(4, 0)$
1854	Solve by Graphing	x+y=-2 , y=x-7	$x + y = - 2$ , $y = x - 7$
1855	Eliminate the Parameter	x=\|t-1\| , y=t+2	$x = \| t - 1 \|$ , $y = t + 2$
1856	Find the Intersection of the Inequalities	x^2+y^2=25 , 3x-4y=0	$x^{2} + y^{2} = 25$ , $3 x - 4 y = 0$
1857	Find the Union of the Inequalities	x^2+y^2=100 , 8x-6y=0	$x^{2} + y^{2} = 100$ , $8 x - 6 y = 0$
1858	Find the Quadrant	(0,2p)	$(0, 2 p)$
1859	Find the Properties	((x+2)^2)/80+((y-1)^2)/64=1	$\frac{{(x + 2)}^{2}}{80} + \frac{{(y - 1)}^{2}}{64} = 1$
1860	Find the Properties	(x^2)/16-(y^2)/20=1	$\frac{x^{2}}{16} - \frac{y^{2}}{20} = 1$
1861	Find the Properties	(x^2)/25+(y^2)/4=1	$\frac{x^{2}}{25} + \frac{y^{2}}{4} = 1$
1862	Find the Properties	(x^2)/36+(y^2)/100=1	$\frac{x^{2}}{36} + \frac{y^{2}}{100} = 1$
1863	Find the Properties	((y+2)^2)/16-((x-3)^2)/9=1	$\frac{{(y + 2)}^{2}}{16} - \frac{{(x - 3)}^{2}}{9} = 1$
1864	Find the Properties	((x+4)^2)/121+((y-8)^2)/196=1	$\frac{{(x + 4)}^{2}}{121} + \frac{{(y - 8)}^{2}}{196} = 1$
1865	Find the Properties	((x+6)^2)/12+((y-4)^2)/16=1	$\frac{{(x + 6)}^{2}}{12} + \frac{{(y - 4)}^{2}}{16} = 1$
1866	Find the Properties	((x-2)^2)/49+((y-2)^2)/40=1	$\frac{{(x - 2)}^{2}}{49} + \frac{{(y - 2)}^{2}}{40} = 1$
1867	Find the Properties	3x^2+4y^2=12	$3 x^{2} + 4 y^{2} = 12$
1868	Find the Properties	16x^2-9y^2-64x-18y-89=0	$16 x^{2} - 9 y^{2} - 64 x - 18 y - 89 = 0$
1869	Find the Properties	16y=x^2	$16 y = x^{2}$
1870	Find the Properties	-2y^2+x-4y+1=0	$- 2 y^{2} + x - 4 y + 1 = 0$
1871	Find the Properties	y^2=-6x	$y^{2} = - 6 x$
1872	Find the Properties	y^2=-8x	$y^{2} = - 8 x$
1873	Find the Properties	y^2=32x	$y^{2} = 32 x$
1874	Find the Properties	y^2-3y-x+4=0	$y^{2} - 3 y - x + 4 = 0$
1875	Find the Properties	y^2-4y+4x+4=0	$y^{2} - 4 y + 4 x + 4 = 0$
1876	Find the Properties	y^2-4y+6x-8=0	$y^{2} - 4 y + 6 x - 8 = 0$
1877	Find the Properties	16x^2+9y^2=1	$16 x^{2} + 9 y^{2} = 1$
1878	Find the Properties	36y^2-64x^2-144y-128x-2224=0	$36 y^{2} - 64 x^{2} - 144 y - 128 x - 2224 = 0$
1879	Find the Properties	5x^2+3y^2=15	$5 x^{2} + 3 y^{2} = 15$
1880	Find the Properties	5x^2+8y^2=40	$5 x^{2} + 8 y^{2} = 40$
1881	Find the Properties	(x^2)/81+(y^2)/9=1	$\frac{x^{2}}{81} + \frac{y^{2}}{9} = 1$
1882	Find the Properties	(x^2)/49+(y^2)/9=1	$\frac{x^{2}}{49} + \frac{y^{2}}{9} = 1$
1883	Find the Properties	x^2+8x=4y-8	$x^{2} + 8 x = 4 y - 8$
1884	Find the Properties	y^2=-16x	$y^{2} = - 16 x$
1885	Find the Properties	y^2+6y+8x+25=0	$y^{2} + 6 y + 8 x + 25 = 0$
1886	Find the Properties	x^2=-8y	$x^{2} = - 8 y$
1887	Find the Properties	x^2-2x-8y+17=0	$x^{2} - 2 x - 8 y + 17 = 0$
1888	Find the Properties	x^2-4y^2=4	$x^{2} - 4 y^{2} = 4$
1889	Convert to Rectangular Coordinates	(6,30)	$(6, 30)$
1890	Convert to Rectangular Coordinates	(5,pi/2)	$(5, \frac{π}{2})$
1891	Convert to Rectangular Coordinates	(4,(3pi)/2)	$(4, \frac{3 π}{2})$
1892	Convert to Rectangular Coordinates	(1,pi/2)	$(1, \frac{π}{2})$
1893	Convert to Rectangular Coordinates	(-1,pi/2)	$(- 1, \frac{π}{2})$
1894	Convert to Rectangular Coordinates	(-2,pi/4)	$(- 2, \frac{π}{4})$
1895	Convert to Rectangular Coordinates	(-3,(5pi)/3)	$(- 3, \frac{5 π}{3})$
1896	Convert to Rectangular Coordinates	(-3,(7pi)/6)	$(- 3, \frac{7 π}{6})$
1897	Convert to Rectangular Coordinates	(-3,(-pi)/2)	$(- 3, \frac{- π}{2})$
1898	Find the Perpendicular Line	3x+5y-8=0 , (-8,1)	$3 x + 5 y - 8 = 0$ , $(- 8, 1)$
1899	Evaluate	( natural log of 2)/(12 natural log of 1+0.04/12)	$\frac{\ln (2)}{12 \ln (1 + \frac{0.04}{12})}$
1900	Evaluate	( log of 13)/( log of 5)	$\frac{\log (13)}{\log (5)}$