Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5901	Solve Using a Matrix by Elimination	x+y=9 , 3x-y=7	$x + y = 9$ , $3 x - y = 7$
5902	Solve Using a Matrix by Elimination	x+y-2z=3 , 2x-3y+3z=2 , 5x-5y+4z=6	$x + y - 2 z = 3$ , $2 x - 3 y + 3 z = 2$ , $5 x - 5 y + 4 z = 6$
5903	Solve Using a Matrix by Elimination	x+y-3z=-19 , 3x-3y+2z=17 , x+3y-5z=-37	$x + y - 3 z = - 19$ , $3 x - 3 y + 2 z = 17$ , $x + 3 y - 5 z = - 37$
5904	Solve Using a Matrix by Elimination	x+y-4z=0 , 2x+y-3z=2	$x + y - 4 z = 0$ , $2 x + y - 3 z = 2$
5905	Solve Using a Matrix by Elimination	x+y-z=1 , 3x-y+z=-9 , x+3z=4	$x + y - z = 1$ , $3 x - y + z = - 9$ , $x + 3 z = 4$
5906	Solve Using a Matrix by Elimination	x+y-z=-12 , 4x-y+z=7 , x+2z=15	$x + y - z = - 12$ , $4 x - y + z = 7$ , $x + 2 z = 15$
5907	Solve Using a Matrix by Elimination	x+y-z=4 , x-2y+2z=-5 , 2x-y+2z=-2	$x + y - z = 4$ , $x - 2 y + 2 z = - 5$ , $2 x - y + 2 z = - 2$
5908	Solve Using a Matrix by Elimination	x+y-z=5 , 3x-y+z=-1 , x-2y+4z=19	$x + y - z = 5$ , $3 x - y + z = - 1$ , $x - 2 y + 4 z = 19$
5909	Solve Using a Matrix by Elimination	x+z=2 , y+5z=2 , 0+0=0	$x + z = 2$ , $y + 5 z = 2$ , $0 + 0 = 0$
5910	Solve Using a Matrix by Elimination	x+z=4 , y=-2	$x + z = 4$ , $y = - 2$
5911	Solve Using a Matrix by Elimination	x=30/7 , y=16/7 , u=30/7 , y=16/7 , p=220/7	$x = \frac{30}{7}$ , $y = \frac{16}{7}$ , $u = \frac{30}{7}$ , $y = \frac{16}{7}$ , $p = \frac{220}{7}$
5912	Solve Using a Matrix by Elimination	x=1 , y=1	$x = 1$ , $y = 1$
5913	Solve Using a Matrix by Elimination	x-2y+3z=-14 , 2x+2y-z=20 , 3x+4y+6z=96	$x - 2 y + 3 z = - 14$ , $2 x + 2 y - z = 20$ , $3 x + 4 y + 6 z = 96$
5914	Solve Using a Matrix by Elimination	x-2y+3z=21 , y-z+w=-17 , -3x+3y-3z+4w=-28 , 2y-3z+w=-22	$x - 2 y + 3 z = 21$ , $y - z + w = - 17$ , $- 3 x + 3 y - 3 z + 4 w = - 28$ , $2 y - 3 z + w = - 22$
5915	Solve Using a Matrix by Elimination	x-2y+3z=7 , 2x+y+z=4 , -3x+2y-7z=0	$x - 2 y + 3 z = 7$ , $2 x + y + z = 4$ , $- 3 x + 2 y - 7 z = 0$
5916	Solve Using a Matrix by Elimination	x-2y+z=0 , y-4z=4 , -3y+13z=-9	$x - 2 y + z = 0$ , $y - 4 z = 4$ , $- 3 y + 13 z = - 9$
5917	Solve Using a Matrix by Elimination	x-2y+z=-2 , -2x+4y+6z=-5 , -5x-3y+z=-4	$x - 2 y + z = - 2$ , $- 2 x + 4 y + 6 z = - 5$ , $- 5 x - 3 y + z = - 4$
5918	Solve Using a Matrix by Elimination	x-2y=0 , x+y+z=260 , 55000x+30000y+9000z=13000000	$x - 2 y = 0$ , $x + y + z = 260$ , $55000 x + 30000 y + 9000 z = 13000000$
5919	Solve Using a Matrix by Elimination	x-2y=2 , 3x-6y=5	$x - 2 y = 2$ , $3 x - 6 y = 5$
5920	Solve Using a Matrix by Elimination	x-2y=2 , x+y=3	$x - 2 y = 2$ , $x + y = 3$
5921	Solve the Function Operation	f(x)=4x+3 , g(x)=x+4 , (fog)(x)
5922	Solve the Function Operation	f(x)=-5+4x , g(x)=2+3 , gof
5923	Solve the Function Operation	f(x)=5x+4 , g(x)=x-3 , f(f(8))	$f (x) = 5 x + 4$ , $g (x) = x - 3$ , $f (f (8))$
5924	Solve the Function Operation	f(x)=6x , g(x)=8x^2+8 , (g*f)(2)	$f (x) = 6 x$ , $g (x) = 8 x^{2} + 8$ , $(g \cdot f) (2)$
5925	Solve the Function Operation	f(x)=7x+6 , g(x)=8x , fog+(x)
5926	Solve the Function Operation	f(x)=-4-4 , g(x)=5/4x-5 , gof
5927	Solve the Function Operation	f(x)=( square root of -8+8+ square root of 2)/(-8+9) , g(x)=8^2-5 , gof
5928	Solve the Function Operation	f(x)=2x , g(x)=3x^2+6 , g(f(2))	$f (x) = 2 x$ , $g (x) = 3 x^{2} + 6$ , $g (f (2))$
5929	Solve the Function Operation	f(x)=-2x-7 , g(x)=-4+6 , (gof)(-5)
5930	Solve the Function Operation	C(x)=15x+12 , 0 , R(x)=21x	$C (x) = 15 x + 12$ , $0$ , $R (x) = 21 x$
5931	Solve the Function Operation	f(n)=2(1/3)^(n-1)+4 , h(t)=(t+4)/(t-2) , (hof)(0)
5932	Solve the Function Operation	f(x)=x+4 , g(x)=x^2+2x-8 , (f+g)(x)	$f (x) = x + 4$ , $g (x) = x^{2} + 2 x - 8$ , $(f + g) (x)$
5933	Solve the Function Operation	g(x)=-x , g(x)=x^2+1 , (gof)(-3)
5934	Solve the Function Operation	u(x)=-2x+1 , w(x)=2x^2+2 , uow (3)	$u (x) = - 2 x + 1$ , $w (x) = 2 x^{2} + 2$ , uow $(3)$
5935	Expand the Logarithmic Expression	natural log of x^3y	$\ln (x^{3} y)$
5936	Expand the Logarithmic Expression	natural log of 3t	$\ln (3 t)$
5937	Expand the Logarithmic Expression	log of fifth root of (x^4)/(y^5z^2)	$\log (\sqrt[5]{\frac{x^{4}}{y^{5} z^{2}}})$
5938	Expand the Logarithmic Expression	log of 123	$\log (123)$
5939	Expand the Logarithmic Expression	natural log of 60000/20000e^(20r)	$\ln (\frac{60000}{20000}) e^{20 r}$
5940	Expand the Logarithmic Expression	log of 13/(3/( log of 1+0.08/12))	$\log (\frac{13}{\frac{3}{\log (1 + \frac{0.08}{12})}})$
5941	Expand the Logarithmic Expression	log of 4x+8	$\log (4 x + 8)$
5942	Expand the Logarithmic Expression	log of 87(x)	$\log (87) (x)$
5943	Expand the Logarithmic Expression	log of ic	$\log (i c)$
5944	Expand the Logarithmic Expression	p(34 log base 45 of 89)	$p (34 \log_{45} (89))$
5945	Expand the Logarithmic Expression	(2 natural log of 5+ log of 50)/( log of 4- natural log of 2)	$\frac{2 \ln (5) + \log (50)}{\log (4) - \ln (2)}$
5946	Expand the Logarithmic Expression	log base 5 of 1250- log base 5 of 2	$\log_{5} (1250) - \log_{5} (2)$
5947	Expand the Logarithmic Expression	log base 6 of 1/36-2	$\log_{6} (\frac{1}{36}) - 2$
5948	Expand the Logarithmic Expression	natural log of (e)^4-9	$\ln ({(e)}^{4}) - 9$
5949	Expand the Logarithmic Expression	log of 8x^5y	$\log (8 x^{5} y)$
5950	Solve the Function Operation	f(x) = square root of x-3 , g(x)=x^2+12 , gof
5951	Solve the Function Operation	f(x)=x/(x-7) , g(x)=-3/x , fog
5952	Solve the Function Operation	f(x)=10x+1 , g(x)=x^2+10x , (f-g)(3)	$f (x) = 10 x + 1$ , $g (x) = x^{2} + 10 x$ , $(f - g) (3)$
5953	Solve the Function Operation	f(x)=15x-12 , g(x)=-15x^2+14x-10 , findg (g(7))	$f (x) = 15 x - 12$ , $g (x) = - 15 x^{2} + 14 x - 10$ , findg $(g (7))$
5954	Solve the Function Operation	f(x)=2x^2-2 , g(x)=-2x , (fg)(x)	$f (x) = 2 x^{2} - 2$ , $g (x) = - 2 x$ , $(f g) (x)$
5955	Solve the Function Operation	f(x)=-2x , g(x)=5x-2x , fog
5956	Solve the Function Operation	f(x)=2x-5 , g(x)=2-x , (f+g)(x)	$f (x) = 2 x - 5$ , $g (x) = 2 - x$ , $(f + g) (x)$
5957	Write in Exponential Form	x log of 156001.05=x log of 192001.03	$x \log (15600 \cdot 1.05) = x \log (19200 \cdot 1.03)$
5958	Write in Exponential Form	y = log of (1/2)^x	$y = \log ({(\frac{1}{2})}^{x})$
5959	Expand the Logarithmic Expression	(n^4+n^3 log of n)( log of n+5)+(3 log of n+7)(n^4+20)	$(n^{4} + n^{3} \log (n)) (\log (n) + 5) + (3 \log (n + 7)) (n^{4} + 20)$
5960	Expand the Logarithmic Expression	(17x*5) log base 2 of 15	$(17 x \cdot 5) \log_{2} (15)$
5961	Expand the Logarithmic Expression	log base 3 of square root of x/(a^4)	$\log_{3} (\sqrt{\frac{x}{a^{4}}})$
5962	Expand the Logarithmic Expression	log base 5 of 302	$\log_{5} (302)$
5963	Expand the Logarithmic Expression	log base 6 of 90	$\log_{6} (90)$
5964	Expand the Logarithmic Expression	log base 8 of 1024	$\log_{8} (1024)$
5965	Expand the Logarithmic Expression	110111110 natural log of 10	$110111110 \ln (10)$
5966	Expand the Logarithmic Expression	11 log of 10	$11 \log (10)$
5967	Expand the Logarithmic Expression	3 log base 2 of a+ log base 2 of b	$3 \log_{2} (a) + \log_{2} (b)$
5968	Expand the Logarithmic Expression	3 log of 9	$3 \log (9)$
5969	Find Where Undefined/Discontinuous	tan(a)=20/50	$\tan (a) = \frac{20}{50}$
5970	Write in Exponential Form	log base 5 of 4x-7=1	$\log_{5} (4 x - 7) = 1$
5971	Write in Exponential Form	log base 6 of 4x^7- log base 6 of x^3=0	$\log_{6} (4 x^{7}) - \log_{6} (x^{3}) = 0$
5972	Write in Exponential Form	log base b of 1024=5	$\log_{b} (1024) = 5$
5973	Write in Exponential Form	log base x of 9 = log base x of 1/3	$\log_{x} (9) = \log_{x} (\frac{1}{3})$
5974	Write in Exponential Form	4* natural log of x=8.6	$4 \cdot \ln (x) = 8.6$
5975	Write in Exponential Form	7+ log of 8x=25-2 log of x	$7 + \log (8 x) = 25 - 2 \log (x)$
5976	Write in Exponential Form	natural log of 0.9/3.2(-5730/( natural log of 2))=t	$\ln (\frac{0.9}{3.2}) (- \frac{5730}{\ln (2)}) = t$
5977	Write in Exponential Form	natural log of 1/x=2	$\ln (\frac{1}{x}) = 2$
5978	Write in Exponential Form	natural log of 4^x = natural log of 0	$\ln (4^{x}) = \ln (0)$
5979	Write in Exponential Form	natural log of 6/9 = natural log of e^(-0.2t)	$\ln (\frac{6}{9}) = \ln (e^{- 0.2 t})$
5980	Write in Exponential Form	natural log of 3x-4 = natural log of 20- natural log of x-5	$\ln (3 x - 4) = \ln (20) - \ln (x - 5)$
5981	Write in Exponential Form	natural log of 4=12t natural log of 1.005	$\ln (4) = 12 t \ln (1.005)$
5982	Write in Exponential Form	natural log of x- natural log of 3=0	$\ln (x) - \ln (3) = 0$
5983	Write in Exponential Form	log of 8/3 = log of (1+0.08/12)^n	$\log (\frac{8}{3}) = \log ({(1 + \frac{0.08}{12})}^{n})$
5984	Write in Exponential Form	log of x^2+11x = log of -24	$\log (x^{2} + 11 x) = \log (- 24)$
5985	Write in Exponential Form	log of 16+2b = log of b^2-4b	$\log (16 + 2 b) = \log (b^{2} - 4 b)$
5986	Write in Exponential Form	log of x=2.0832	$\log (x) = 2.0832$
5987	Write in Exponential Form	N=( natural log of 0.4)/( natural log of 0.9778)	$N = \frac{\ln (0.4)}{\ln (0.9778)}$
5988	Write in Exponential Form	x=( natural log of 0.7500)/( natural log of 0.023069)	$x = \frac{\ln (0.75)}{\ln (0.023069)}$
5989	Write in Exponential Form	x=( natural log of 2.3)/( natural log of 1.05)	$x = \frac{\ln (2.3)}{\ln (1.05)}$
5990	Write in Exponential Form	x = natural log of 1+((0.003*9400)/300)	$x = \ln (1 + (\frac{0.003 \cdot 9400}{300}))$
5991	Write in Exponential Form	y=e^(-sin(2x))+ natural log of e	$y = e^{- \sin (2 x)} + \ln (e)$
5992	Write in Exponential Form	y = natural log of 3x+1	$y = \ln (3 x) + 1$
5993	Solve for x	N=( natural log of 1.5)/( natural log of 1.02)	$N = \frac{\ln (1.5)}{\ln (1.02)}$
5994	Solve for t	t=-(5600 natural log of 0.72)/( natural log of 2)	$t = - \frac{5600 \ln (0.72)}{\ln (2)}$
5995	Write in Exponential Form	( natural log of 1/2)/-0.053=t	$\frac{\ln (\frac{1}{2})}{- 0.053} = t$
5996	Write in Exponential Form	( natural log of 0.16)/(-0.000121t)=t	$\frac{\ln (0.16)}{- 0.000121 t} = t$
5997	Write in Exponential Form	( log of 2.43)/( log of 1+0.042/12)=n	$\frac{\log (2.43)}{\log (1 + \frac{0.042}{12})} = n$
5998	Write in Exponential Form	log base 4 of 6x-3=4	$\log_{4} (6 x - 3) = 4$
5999	Write in Exponential Form	log base 5 of (5z)/(z-2)=2	$\log_{5} (\frac{5 z}{z - 2}) = 2$
6000	Write in Exponential Form	log base x of 1296=4	$\log_{x} (1296) = 4$