Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44601	Expand the Logarithmic Expression	log base 3 of 135x+81y	$\log_{3} (135 x + 81 y)$
44602	Expand the Logarithmic Expression	log base c of fourth root of (m^12n^8)/(c^9a^5)	$\log_{c} (\sqrt[4]{\frac{m^{12} n^{8}}{c^{9} a^{5}}})$
44603	Expand the Logarithmic Expression	log base 8 of (x/(y^2))^4	$\log_{8} ({(\frac{x}{y^{2}})}^{4})$
44604	Expand the Logarithmic Expression	log base 11 of (x^2 square root of x)/y	$\log_{11} (\frac{x^{2} \sqrt{x}}{y})$
44605	Expand the Logarithmic Expression	log base 4 of 4x+16y	$\log_{4} (4 x + 16 y)$
44606	Expand the Logarithmic Expression	log base 4 of 64x+48y	$\log_{4} (64 x + 48 y)$
44607	Expand the Logarithmic Expression	log base 4 of cube root of c^2d^15	$\log_{4} (\sqrt[3]{c^{2} d^{15}})$
44608	Expand the Logarithmic Expression	log base 3 of 8x	$\log_{3} (8 x)$
44609	Expand the Logarithmic Expression	log base 3 of ( square root of 3x^5)/y	$\log_{3} (\frac{\sqrt{3 x^{5}}}{y})$
44610	Expand the Logarithmic Expression	log base 5 of u^3v^4	$\log_{5} (u^{3} v^{4})$
44611	Expand the Logarithmic Expression	log base 5 of (x^(4y^5))/3	$\log_{5} (\frac{x^{4 y^{5}}}{3})$
44612	Expand the Logarithmic Expression	natural log of square root of x^3y^2ze^(3/2)	$\ln (\sqrt{x^{3} y^{2} z e^{\frac{3}{2}}})$
44613	Expand the Logarithmic Expression	log of (5x^2)/(3 square root of y)	$\log (\frac{5 x^{2}}{3 \sqrt{y}})$
44614	Expand the Logarithmic Expression	log of xy^5	$\log (x y^{5})$
44615	Expand the Logarithmic Expression	log of ( square root of x)/(1000y^2)	$\log (\frac{\sqrt{x}}{1000 y^{2}})$
44616	Expand the Logarithmic Expression	log of ( cube root of a)/(3b)	$\log (\frac{\sqrt[3]{a}}{3 b})$
44617	Find the Domain and Range	1/(x^2-1)	$\frac{1}{x^{2} - 1}$
44618	Find the Domain and Range	x/(x^2-2x)	$\frac{x}{x^{2} - 2 x}$
44619	Evaluate the Function	f(x) = square root of x	$f (x) = \sqrt{x}$
44620	Find Reduced Row Echelon Form	[[2,3,13],[4,6,26]]	$[\begin{array}{c} 2 & 3 & 13 \\ 4 & 6 & 26 \end{array}]$
44621	Find the Axis of Symmetry	f(x)=2x^2+4x-3	$f (x) = 2 x^{2} + 4 x - 3$
44622	Find the Center	16x^2-9y^2-96x+72y-144=0	$16 x^{2} - 9 y^{2} - 96 x + 72 y - 144 = 0$
44623	Find the Roots (Zeros)	x^3-3x^2-18x	$x^{3} - 3 x^{2} - 18 x$
44624	Find the Roots (Zeros)	x^5-12x^3+7x-5	$x^{5} - 12 x^{3} + 7 x - 5$
44625	Find the Vertex	f(x)=-0.4x^2+8x-12	$f (x) = - 0.4 x^{2} + 8 x - 12$
44626	Find the Other Trig Values in Quadrant I	cos(theta)=1/6	$\cos (θ) = \frac{1}{6}$
44627	Identify the Polar Equation	r=1/(4-6cos(theta))	$r = \frac{1}{4 - 6 \cos (θ)}$
44628	Identify the Polar Equation	r=sin(theta)-cos(theta)	$r = \sin (θ) - \cos (θ)$
44629	Identify the Polar Equation	r=4tan(theta)sec(theta)	$r = 4 \tan (θ) \sec (θ)$
44630	Identify the Polar Equation	r=6csc(theta)	$r = 6 \csc (θ)$
44631	Identify the Polar Equation	r=-3sec(theta)	$r = - 3 \sec (θ)$
44632	Find the x and y Intercepts	f(x)=(4x)/(x^2-16)	$f (x) = \frac{4 x}{x^{2} - 16}$
44633	Eliminate the Parameter	x=2t+3 , y=t-2	$x = 2 t + 3$ , $y = t - 2$
44634	Find the Number of Possibilities	1000 choose 999	${}_{1000}C_{999}$
44635	Expand Using De Moivre's Theorem	4+4 square root of 3i	$4 + 4 \sqrt{3 i}$
44636	Find the Inverse	(-2x-9)/(-5x+6)	$\frac{- 2 x - 9}{- 5 x + 6}$
44637	Expand Using De Moivre's Theorem	(4cis(pi/18))^3	${(4 c i s (\frac{π}{18}))}^{3}$
44638	Expand Using De Moivre's Theorem	(2(cos((2pi)/3)+isin((2pi)/3)))^9	${(2 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3})))}^{9}$
44639	Find the Sine Given the Point	(5 1/2,-2 square root of 15)	$(5 \frac{1}{2}, - 2 \sqrt{15})$
44640	Find the Roots (Zeros)	y=625x^4+2000x^3+2400x^2+1280x+256	$y = 625 x^{4} + 2000 x^{3} + 2400 x^{2} + 1280 x + 256$
44641	Find the Roots (Zeros)	x^4-4x^2-32=0	$x^{4} - 4 x^{2} - 32 = 0$
44642	Find the Roots (Zeros)	x^3+8i=0	$x^{3} + 8 i = 0$
44643	Find the Domain	f(x) = log base 5 of x^2-25	$f (x) = \log_{5} (x^{2} - 25)$
44644	Find the Domain	f(x)=csc(x)	$f (x) = \csc (x)$
44645	Find the Domain	f(x)=(x+3)/(x^2-6x+9)	$f (x) = \frac{x + 3}{x^{2} - 6 x + 9}$
44646	Find the Domain	f(x)=7/(6-x)	$f (x) = \frac{7}{6 - x}$
44647	Find the Domain	f(x)=1/3(x^2-3x+9)	$f (x) = \frac{1}{3} (x^{2} - 3 x + 9)$
44648	Convert to a Simplified Fraction	square root of 96	$\sqrt{96}$
44649	Convert to Polar Coordinates	(-1,6)	$(- 1, 6)$
44650	Convert to Polar Coordinates	(1,-6)	$(1, - 6)$
44651	Convert to Polar Coordinates	(- square root of 6, square root of 2)	$(- \sqrt{6}, \sqrt{2})$
44652	Convert to Polar Coordinates	(1,pi/4)	$(1, \frac{π}{4})$
44653	Convert to Polar Coordinates	(-(5 square root of 2)/2,(5 square root of 2)/2)	$(- \frac{5 \sqrt{2}}{2}, \frac{5 \sqrt{2}}{2})$
44654	Convert to Polar Coordinates	(3/2,(3 square root of 3)/2)	$(\frac{3}{2}, \frac{3 \sqrt{3}}{2})$
44655	Convert to Polar Coordinates	(3,150 degrees )	$(3, 150 °)$
44656	Convert to Polar Coordinates	(3,6)	$(3, 6)$
44657	Convert to Polar Coordinates	(-2,150 degrees )	$(- 2, 150 °)$
44658	Convert to Polar Coordinates	(2,60 degrees )	$(2, 60 °)$
44659	Convert to Polar Coordinates	(5,7)	$(5, 7)$
44660	Convert to Polar Coordinates	(5,pi/2)	$(5, \frac{π}{2})$
44661	Convert to Polar Coordinates	(4,150 degrees )	$(4, 150 °)$
44662	Convert to Polar Coordinates	(-6,4)	$(- 6, 4)$
44663	Convert to Polar Coordinates	(-7,3)	$(- 7, 3)$
44664	Convert to Polar Coordinates	(7,-1)	$(7, - 1)$
44665	Convert to Polar Coordinates	(-6,-8)	$(- 6, - 8)$
44666	Solve the Function Operation	f(x)=2x+1 , g(x)=2x^2-3 , (f*g)(2)	$f (x) = 2 x + 1$ , $g (x) = 2 x^{2} - 3$ , $(f \cdot g) (2)$
44667	Find the Domain and Range	-1/3x=(y-2)^2	$- \frac{1}{3} x = {(y - 2)}^{2}$
44668	Find the Domain and Range	(y^2)/49-(x^2)/25=1	$\frac{y^{2}}{49} - \frac{x^{2}}{25} = 1$
44669	Find the Domain and Range	y=10^x	$y = 10^{x}$
44670	Find the Domain and Range	y=100^x	$y = 100^{x}$
44671	Find the Domain and Range	y=-(0.25)^x-2	$y = - {(0.25)}^{x} - 2$
44672	Find the Domain and Range	y=3/(x+2)	$y = \frac{3}{x + 2}$
44673	Find the Domain and Range	y=5/(x-2)	$y = \frac{5}{x - 2}$
44674	Find the Domain and Range	y=x^2+6	$y = x^{2} + 6$
44675	Find the Domain and Range	y=x-1	$y = x - 1$
44676	Find the Domain and Range	y=6	$y = 6$
44677	Find the Domain and Range	y=-4sin(x)	$y = - 4 \sin (x)$
44678	Find the Domain and Range	y=4cos(x)+1	$y = 4 \cos (x) + 1$
44679	Find the Domain and Range	y=5cos(x)	$y = 5 \cos (x)$
44680	Find the Domain and Range	y=e^(-x)+3	$y = e^{- x} + 3$
44681	Find the Slope	-3x+5y-8=0	$- 3 x + 5 y - 8 = 0$
44682	Write in Standard Form	y^2-3x+6y+12=0	$y^{2} - 3 x + 6 y + 12 = 0$
44683	Write in Standard Form	x^2=4y	$x^{2} = 4 y$
44684	Write in Standard Form	x^2-8x+y^2-2y-8=0	$x^{2} - 8 x + y^{2} - 2 y - 8 = 0$
44685	Write in Standard Form	2x^2+2y^2-12x+8y-24=0	$2 x^{2} + 2 y^{2} - 12 x + 8 y - 24 = 0$
44686	Write in Standard Form	-2x^2+3y^2+4x-60y+268=0	$- 2 x^{2} + 3 y^{2} + 4 x - 60 y + 268 = 0$
44687	Write in Standard Form	2x^2-12x-4y^2-64y=0	$2 x^{2} - 12 x - 4 y^{2} - 64 y = 0$
44688	Find All Complex Solutions	2sin(x)cos(2x)-cos(2x)=0	$2 \sin (x) \cos (2 x) - \cos (2 x) = 0$
44689	Solve for c	(sin(137))/14=(sin(c))/9	$\frac{\sin (137)}{14} = \frac{\sin (c)}{9}$
44690	Solve for t	10=6+17t-16t^2	$10 = 6 + 17 t - 16 t^{2}$
44691	Solve for t	20=2+35t-16t^2	$20 = 2 + 35 t - 16 t^{2}$
44692	Solve for t	4t^2-20t+25=0	$4 t^{2} - 20 t + 25 = 0$
44693	Solve for s	3-8s=8(3-st)	$3 - 8 s = 8 (3 - s t)$
44694	Solve for R	F=(mv^2)/R	$F = \frac{m v^{2}}{R}$
44695	Solve for R	pV=nRT	$p V = n R T$
44696	Solve for P	P(40)=2.056/(1+0.153(40))	$P (40) = \frac{2.056}{1 + 0.153 (40)}$
44697	Solve for y	square root of 2/3y-7=9	$\sqrt{\frac{2}{3} y - 7} = 9$
44698	Solve for y	(4y^2-8y+12)/(y^2+y-6)=3	$\frac{4 y^{2} - 8 y + 12}{y^{2} + y - 6} = 3$
44699	Solve for y	y=f(-1)	$y = f (- 1)$
44700	Solve for z	square root of 3z^2+16 = square root of 2z^2-8z	$\sqrt{3 z^{2} + 16} = \sqrt{2 z^{2} - 8 z}$