Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
34801	Evaluate	log base 8 of 13	$\log_{8} (13)$
34802	Evaluate	log base 8 of 60	$\log_{8} (60)$
34803	Find Where Undefined/Discontinuous	1/(x-5)-5/(x+3)=8/(x^2-2x-15)	$\frac{1}{x - 5} - \frac{5}{x + 3} = \frac{8}{x^{2} - 2 x - 15}$
34804	Evaluate	log base 6 of 18	$\log_{6} (18)$
34805	Find Where Undefined/Discontinuous	(x-5)/(4x)+1=(x+7)/x	$\frac{x - 5}{4 x} + 1 = \frac{x + 7}{x}$
34806	Evaluate	log base 6 of 60	$\log_{6} (60)$
34807	Find Where Undefined/Discontinuous	4/x=1/(4x)+3	$\frac{4}{x} = \frac{1}{4 x} + 3$
34808	Factor	25a^2-70a+49	$25 a^{2} - 70 a + 49$
34809	Evaluate	log base 12 of 87.5	$\log_{12} (87.5)$
34810	Evaluate	log base 2 of 11	$\log_{2} (11)$
34811	Evaluate	log of (10)^12	$\log ({(10)}^{12})$
34812	Evaluate	log of 10^-2	$\log (10^{- 2})$
34813	Evaluate	natural log of 2.3	$\ln (2.3)$
34814	Find f(g(x))	f(x)=7/(1-3x) , g(x)=1/x	$f (x) = \frac{7}{1 - 3 x}$ , $g (x) = \frac{1}{x}$
34815	Evaluate	log of 55	$\log (55)$
34816	Evaluate	log of 44	$\log (44)$
34817	Evaluate	log of cube root of 10	$\log (\sqrt[3]{10})$
34818	Evaluate	natural log of e^(5x)	$\ln (e^{5 x})$
34819	Evaluate	log of 69	$\log (69)$
34820	Evaluate	log of 79	$\log (79)$
34821	Solve by Graphing	x+y=9 , x-y=7	$x + y = 9$ , $x - y = 7$
34822	Solve by Graphing	x+y=8 , x-y=6	$x + y = 8$ , $x - y = 6$
34823	Solve by Graphing	x+y=8 , y-x=8	$x + y = 8$ , $y - x = 8$
34824	Solve by Graphing	x+y=6 , x-y=2	$x + y = 6$ , $x - y = 2$
34825	Solve by Graphing	3x-2y=-24 , -3x-y=6	$3 x - 2 y = - 24$ , $- 3 x - y = 6$
34826	Solve by Graphing	3x-2y=-6 , -3x-y=-12	$3 x - 2 y = - 6$ , $- 3 x - y = - 12$
34827	Solve Using a Matrix with Cramer's Rule	x+y=3 , x-y=1	$x + y = 3$ , $x - y = 1$
34828	Find the Intersection of the Inequalities	10x+6y<30 , 6x-10y>30	$10 x + 6 y < 30$ , $6 x - 10 y > 30$
34829	Find the Slope	(2,1) , (5,3)	$(2, 1)$ , $(5, 3)$
34830	Find the x and y Intercepts	y=5	$y = 5$
34831	Find the Quadrant	(4,0)	$(4, 0)$
34832	Find the Quadrant	(4,-1)	$(4, - 1)$
34833	Find f(g(x))	f(x)=4x^2-7 , g(x)=2/x	$f (x) = 4 x^{2} - 7$ , $g (x) = \frac{2}{x}$
34834	Find the Quadrant	(-4,5)	$(- 4, 5)$
34835	Find f(g(x))	f(x)=2/(x-3) , g(x)=6/x	$f (x) = \frac{2}{x - 3}$ , $g (x) = \frac{6}{x}$
34836	Find f(g(x))	f(x)=9/(1-8x) , g(x)=1/x	$f (x) = \frac{9}{1 - 8 x}$ , $g (x) = \frac{1}{x}$
34837	Find the Slope	(0,0) , (2,4)	$(0, 0)$ , $(2, 4)$
34838	Simplify/Condense	1/8* natural log of x+ natural log of y	$\frac{1}{8} \cdot \ln (x) + \ln (y)$
34839	Find f(g(x))	f(x)=x^2 , g(x)=x^2+3	$f (x) = x^{2}$ , $g (x) = x^{2} + 3$
34840	Find f(g(x))	f(x)=3x-2 g(x)=x+2	$f (x) = 3 x - 2$ $g (x) = x + 2$
34841	Simplify/Condense	log base 25 of 5	$\log_{25} (5)$
34842	Simplify/Condense	log base 3 of 1	$\log_{3} (1)$
34843	Simplify/Condense	log base 4 of 2	$\log_{4} (2)$
34844	Find f(g(x))	f(x) = cube root of (x-3)/7 , g(x)=7x^3+3	$f (x) = \sqrt[3]{\frac{x - 3}{7}}$ , $g (x) = 7 x^{3} + 3$
34845	Find f(g(x))	f(x)=x^3 , g(x)=1/x	$f (x) = x^{3}$ , $g (x) = \frac{1}{x}$
34846	Expand the Logarithmic Expression	log base 4 of 8	$\log_{4} (8)$
34847	Find f(g(x))	f(x)=x^2 g(x)=x+6	$f (x) = x^{2}$ $g (x) = x + 6$
34848	Expand the Logarithmic Expression	log base 3 of 9/y	$\log_{3} (\frac{9}{y})$
34849	Find f(g(x))	f(x)=(1-x)/(9x) , g(x)=1/(1+9x)	$f (x) = \frac{1 - x}{9 x}$ , $g (x) = \frac{1}{1 + 9 x}$
34850	Expand the Logarithmic Expression	log base 3 of 7(2x-3)^2	$\log_{3} (7) {(2 x - 3)}^{2}$
34851	Find f(g(x))	f(x)=x^2+3 , g(x) = square root of x-3	$f (x) = x^{2} + 3$ , $g (x) = \sqrt{x} - 3$
34852	Expand the Logarithmic Expression	log base 12 of 12/y	$\log_{12} (\frac{12}{y})$
34853	Expand the Logarithmic Expression	log base 125 of 5	$\log_{125} (5)$
34854	Find f(g(x))	f(x)=x^2-9 , g(x)=x-3	$f (x) = x^{2} - 9$ , $g (x) = x - 3$
34855	Simplify/Condense	log of 5x+1- log of x	$\log (5 x + 1) - \log (x)$
34856	Simplify/Condense	log of 4+3 log of x+ log of y	$\log (4) + 3 \log (x) + \log (y)$
34857	Find f(g(x))	f(x)=9x^2-5x , g(x)=x^2-3x-10	$f (x) = 9 x^{2} - 5 x$ , $g (x) = x^{2} - 3 x - 10$
34858	Simplify/Condense	log of 1000- log of 100	$\log (1000) - \log (100)$
34859	Simplify/Condense	natural log of 40+2 natural log of 1/2+ natural log of x	$\ln (40) + 2 \ln (\frac{1}{2}) + \ln (x)$
34860	Simplify	(-20a^-2b^-7)/(5a^-5b^3)	$\frac{- 20 a^{- 2} b^{- 7}}{5 a^{- 5} b^{3}}$
34861	Find f(g(x))	f(x) = square root of x-3 , g(x) = square root of x+2	$f (x) = \sqrt{x - 3}$ , $g (x) = \sqrt{x + 2}$
34862	Find the Center and Radius	x^2+y^2+4x-4y-73=0	$x^{2} + y^{2} + 4 x - 4 y - 73 = 0$
34863	Find f(g(x))	f(x)=3x^2+2x+5 , g(x)=9x^2+4x+9	$f (x) = 3 x^{2} + 2 x + 5$ , $g (x) = 9 x^{2} + 4 x + 9$
34864	Find f(g(x))	f(x)=-3/x , g(x)=3/x	$f (x) = - \frac{3}{x}$ , $g (x) = \frac{3}{x}$
34865	Find the Center and Radius	(x+2)^2+(y-1)^2=9	${(x + 2)}^{2} + {(y - 1)}^{2} = 9$
34866	Find the Center and Radius	(x-1)^2+(y+1)^2=4	${(x - 1)}^{2} + {(y + 1)}^{2} = 4$
34867	Factor	18x^4+12x^2y+2y^2	$18 x^{4} + 12 x^{2} y + 2 y^{2}$
34868	Find f(g(x))	f(x)=2x+1 g(x) = square root of x	$f (x) = 2 x + 1$ $g (x) = \sqrt{x}$
34869	Evaluate	(5^2)/(5^5)	$\frac{5^{2}}{5^{5}}$
34870	Evaluate	(2/3)/(1/2)	$\frac{\frac{2}{3}}{\frac{1}{2}}$
34871	Find the Domain	f(x)=3 if x<=4; -2x if x>4	$f (x) = {\begin{cases} 3 & x \leq 4 \\ - 2 x & x > 4 \end{cases}$
34872	Find the Domain	f(x) = square root of x+6 if -6<=x<=-2; 0-x if x>-2	$f (x) = {\begin{cases} \sqrt{x + 6} & - 6 \leq x \leq - 2 \\ 0 - x & x > - 2 \end{cases}$
34873	Evaluate	(1/2)/(1/3)	$\frac{\frac{1}{2}}{\frac{1}{3}}$
34874	Find the Domain	f(x)=\|x\| if x<=0; 1/x if x>0	$f (x) = {\begin{cases} \| x \| & x \leq 0 \\ \frac{1}{x} & x > 0 \end{cases}$
34875	Evaluate	1.5^-2	${1.5}^{- 2}$
34876	Find the Average	[0,2]	$[0, 2]$
34877	Evaluate	1.6^2	${1.6}^{2}$
34878	Find the Maximum/Minimum Value	y=2x^2+16x-8	$y = 2 x^{2} + 16 x - 8$
34879	Evaluate	0.3^2	${0.3}^{2}$
34880	Evaluate	-\|-4\|	$- \| - 4 \|$
34881	Find the Maximum/Minimum Value	y=-(x+5)^2+3	$y = - {(x + 5)}^{2} + 3$
34882	Find the Maximum/Minimum Value	y=1/3x^3-5/2x^2+6x-8	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 8$
34883	Evaluate	1/8+3/4	$\frac{1}{8} + \frac{3}{4}$
34884	Find the Maximum/Minimum Value	y=1/3x^3-5/2x^2+6x-4	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 4$
34885	Find the Maximum/Minimum Value	y=-3x^2+18x-2	$y = - 3 x^{2} + 18 x - 2$
34886	Evaluate	1/9+1/3	$\frac{1}{9} + \frac{1}{3}$
34887	Find the Maximum/Minimum Value	y=-6x^2+36x+18	$y = - 6 x^{2} + 36 x + 18$
34888	Evaluate	-1/8	$- \frac{1}{8}$
34889	Find the Maximum/Minimum Value	h=-16t^2+40t+6	$h = - 16 t^{2} + 40 t + 6$
34890	Evaluate	10/13	$\frac{10}{13}$
34891	Find the Maximum/Minimum Value	h=-16t^2+32t+1008	$h = - 16 t^{2} + 32 t + 1008$
34892	Find the Maximum/Minimum Value	a=38x-x^2	$a = 38 x - x^{2}$
34893	Find the Maximum/Minimum Value	y=-x^2-10x-30	$y = - x^{2} - 10 x - 30$
34894	Find the Maximum/Minimum Value	y=x^2+4x-13	$y = x^{2} + 4 x - 13$
34895	Evaluate	100^3	$100^{3}$
34896	Find the Maximum/Minimum Value	z=7x+4y	$z = 7 x + 4 y$
34897	Evaluate	1/3+5/6	$\frac{1}{3} + \frac{5}{6}$
34898	Find the LCM	4 10	$4$ $10$
34899	Evaluate	1/4-4	$\frac{1}{4} - 4$
34900	Find the LCM	40 , 100 , 140	$40$ , $100$ , $140$