Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
80001	Expand the Logarithmic Expression	log base 7 of 1/( square root of 7)	$\log_{7} (\frac{1}{\sqrt{7}})$
80002	Expand the Logarithmic Expression	log base w of ((x^2-6)^4)/( cube root of x^2+8)	$\log_{w} (\frac{{(x^{2} - 6)}^{4}}{\sqrt[3]{x^{2} + 8}})$
80003	Expand the Logarithmic Expression	log base b of y^7x	$\log_{b} (y^{7} x)$
80004	Solve by Addition/Elimination	5x+3y=-3 , 2x-3y=24	$5 x + 3 y = - 3$ , $2 x - 3 y = 24$
80005	Expand the Logarithmic Expression	log base b of 4x^2y	$\log_{b} (4 x^{2} y)$
80006	Solve by Addition/Elimination	5x+3y=31 , 2x+3y=25	$5 x + 3 y = 31$ , $2 x + 3 y = 25$
80007	Expand the Logarithmic Expression	log base b of y^2x	$\log_{b} (y^{2} x)$
80008	Expand the Logarithmic Expression	log base b of x/y	$\log_{b} (\frac{x}{y})$
80009	Solve by Addition/Elimination	5x+3y=58 5x-3y=22	$5 x + 3 y = 58$ $5 x - 3 y = 22$
80010	Expand the Logarithmic Expression	natural log of 9	$\ln (9)$
80011	Solve by Addition/Elimination	-5x+3y=6 x-y=4	$- 5 x + 3 y = 6$ $x - y = 4$
80012	Expand the Logarithmic Expression	log base 8 of x^2	$\log_{8} (x^{2})$
80013	Solve by Addition/Elimination	5x+3y=6 , 3x-y=5	$5 x + 3 y = 6$ , $3 x - y = 5$
80014	Solve by Addition/Elimination	5x+4y=-4 3x+4y=12	$5 x + 4 y = - 4$ $3 x + 4 y = 12$
80015	Simplify/Condense	log base 4 of 60- log base 4 of 4+ log base 4 of x	$\log_{4} (60) - \log_{4} (4) + \log_{4} (x)$
80016	Simplify/Condense	log base 2 of 5	$\log_{2} (5)$
80017	Simplify	square root of x^2+25	$\sqrt{x^{2} + 25}$
80018	Simplify/Condense	10^( log of 5)	$10^{\log (5)}$
80019	Solve by Addition/Elimination	5x+6y=5 10X+12y=10	$5 x + 6 y = 5$ $10 X + 12 y = 10$
80020	Simplify/Condense	1/2* log of x+1/3* log of y-2 log of z	$\frac{1}{2} \cdot \log (x) + \frac{1}{3} \cdot \log (y) - 2 \log (z)$
80021	Simplify	(3-13x-7x^2)-(5x^2+12x-10)	$(3 - 13 x - 7 x^{2}) - (5 x^{2} + 12 x - 10)$
80022	Simplify/Condense	2 log base 5 of x+ log base 5 of 3	$2 \log_{5} (x) + \log_{5} (3)$
80023	Simplify/Condense	5 natural log of x-4 natural log of y	$5 \ln (x) - 4 \ln (y)$
80024	Solve by Addition/Elimination	5x+y=-12 , 7x-3y=-52	$5 x + y = - 12$ , $7 x - 3 y = - 52$
80025	Simplify/Condense	5 log base 7 of a-2 log base 7 of a	$5 \log_{7} (a) - 2 \log_{7} (a)$
80026	Simplify/Condense	5 log base 4 of 2+7 log base 4 of x+4 log base 4 of y	$5 \log_{4} (2) + 7 \log_{4} (x) + 4 \log_{4} (y)$
80027	Simplify/Condense	6 natural log of 2-4 natural log of y	$6 \ln (2) - 4 \ln (y)$
80028	Simplify/Condense	6 natural log of x-1/4* natural log of y	$6 \ln (x) - \frac{1}{4} \cdot \ln (y)$
80029	Solve by Addition/Elimination	5x+y=-23 , 7x-3y=-41	$5 x + y = - 23$ , $7 x - 3 y = - 41$
80030	Simplify/Condense	6 natural log of x-5 natural log of y	$6 \ln (x) - 5 \ln (y)$
80031	Solve by Addition/Elimination	5x+y=26 x+5y=-14	$5 x + y = 26$ $x + 5 y = - 14$
80032	Simplify/Condense	4 log base 3 of u-20 log base 3 of v	$4 \log_{3} (u) - 20 \log_{3} (v)$
80033	Simplify/Condense	3 log of 7+ log of 2	$3 \log (7) + \log (2)$
80034	Simplify/Condense	3 natural log of x+5 natural log of y-6 natural log of z	$3 \ln (x) + 5 \ln (y) - 6 \ln (z)$
80035	Simplify/Condense	3 log base b of q+6 log base b of v	$3 \log_{b} (q) + 6 \log_{b} (v)$
80036	Simplify/Condense	log of x+4+ log of x-4	$\log (x + 4) + \log (x - 4)$
80037	Solve by Addition/Elimination	5x+y=8 2x-3y=10	$5 x + y = 8$ $2 x - 3 y = 10$
80038	Simplify	(-2d^2+s)(5d^2-6s)	$(- 2 d^{2} + s) (5 d^{2} - 6 s)$
80039	Simplify/Condense	log base 2 of x+ log base 2 of y	$\log_{2} (x) + \log_{2} (y)$
80040	Simplify/Condense	log base 4 of 1/16	$\log_{4} (\frac{1}{16})$
80041	Simplify/Condense	log base 3 of u-5 log base 3 of v	$\log_{3} (u) - 5 \log_{3} (v)$
80042	Solve by Addition/Elimination	5x-2y=3 , 2x-y=0	$5 x - 2 y = 3$ , $2 x - y = 0$
80043	Simplify/Condense	log base 3 of 24- log base 3 of 8	$\log_{3} (24) - \log_{3} (8)$
80044	Solve by Addition/Elimination	5x-2y=4 , -35x+14y=-28	$5 x - 2 y = 4$ , $- 35 x + 14 y = - 28$
80045	Simplify/Condense	log base 3 of 4+2 log base 3 of x- log base 3 of 5	$\log_{3} (4) + 2 \log_{3} (x) - \log_{3} (5)$
80046	Simplify/Condense	log base 3 of 7- log base 3 of x	$\log_{3} (7) - \log_{3} (x)$
80047	Simplify/Condense	log base 7 of 49	$\log_{7} (49)$
80048	Simplify/Condense	log base 64 of 4	$\log_{64} (4)$
80049	Solve by Addition/Elimination	5x-4y=-10 , -4x+5y=8	$5 x - 4 y = - 10$ , $- 4 x + 5 y = 8$
80050	Simplify/Condense	log base 64 of 8	$\log_{64} (8)$
80051	Solve by Addition/Elimination	5x-4y=2 -10x+8y=-4	$5 x - 4 y = 2$ $- 10 x + 8 y = - 4$
80052	Simplify/Condense	log base 9 of 27	$\log_{9} (27)$
80053	Simplify/Condense	log base 4 of 320- log base 4 of 5	$\log_{4} (320) - \log_{4} (5)$
80054	Simplify/Condense	log base 4 of 8+ log base 4 of 2	$\log_{4} (8) + \log_{4} (2)$
80055	Solve by Addition/Elimination	5x-6y=4 -10x+12y=-8	$5 x - 6 y = 4$ $- 10 x + 12 y = - 8$
80056	Simplify/Condense	log base 5 of 15- log base 5 of 3	$\log_{5} (15) - \log_{5} (3)$
80057	Simplify/Condense	log base 5 of 25- log base 5 of 5	$\log_{5} (25) - \log_{5} (5)$
80058	Simplify	(-1+19i)-(4-i)	$(- 1 + 19 i) - (4 - i)$
80059	Find the Quadrant	(0,8)	$(0, 8)$
80060	Solve for x	-x+4=32	$- x + 4 = 32$
80061	Solve Using the Quadratic Formula	3x^2-7x-3=x	$3 x^{2} - 7 x - 3 = x$
80062	Find the Quadrant	(-4,-1)	$(- 4, - 1)$
80063	Find the Quadrant	(6,1)	$(6, 1)$
80064	Solve by Addition/Elimination	-6x+5y=-1 -8x+4y=12	$- 6 x + 5 y = - 1$ $- 8 x + 4 y = 12$
80065	Find the Quadrant	(5,-6)	$(5, - 6)$
80066	Find the Quadrant	(0,-8)	$(0, - 8)$
80067	Find the Quadrant	(-8,-2)	$(- 8, - 2)$
80068	Solve by Addition/Elimination	6x-10y=2 2x+5y=9	$6 x - 10 y = 2$ $2 x + 5 y = 9$
80069	Solve by Addition/Elimination	6x-4y=5 6x+7y=-17	$6 x - 4 y = 5$ $6 x + 7 y = - 17$
80070	Find the Equation Using Two Points	(2,8) , (3,4)	$(2, 8)$ , $(3, 4)$
80071	Find the Slope	(0,4) , (2,0)	$(0, 4)$ , $(2, 0)$
80072	Find the Slope	(-1,1) , (3,4)	$(- 1, 1) (3, 4)$
80073	Solve by Addition/Elimination	7x^2+y^2=56 , xy=7	$7 x^{2} + y^{2} = 56$ , $x y = 7$
80074	Find the Slope	(-3,4) , (2,-1)	$(- 3, 4) (2, - 1)$
80075	Find the Slope	(-3,-4) , (2,-4)	$(- 3, - 4) (2, - 4)$
80076	Find the Slope	(3,0) , (0,-4)	$(3, 0) (0, - 4)$
80077	Find the Slope	(-3,0) , (0,5)	$(- 3, 0) (0, 5)$
80078	Find the Slope	(-3,7) , (2,-3)	$(- 3, 7) (2, - 3)$
80079	Solve by Addition/Elimination	-7y-4x=1 7y-2x=53	$- 7 y - 4 x = 1$ $7 y - 2 x = 53$
80080	Find the Slope	(-2,5) , (3,4)	$(- 2, 5) (3, 4)$
80081	Find the Slope	7x+2y=5	$7 x + 2 y = 5$
80082	Find the Slope	(6,12) , (-6,-2)	$(6, 12) (- 6, - 2)$
80083	Solve by Graphing	y=-3x+3 , 5x+y=5	$y = - 3 x + 3$ , $5 x + y = 5$
80084	Solve by Addition/Elimination	9a-3b=3 -3a+b=-1	$9 a - 3 b = 3$ $- 3 a + b = - 1$
80085	Solve by Graphing	y=2x-2 , 7x+y=7	$y = 2 x - 2$ , $7 x + y = 7$
80086	Solve by Graphing	y=-1/4x-2 , 3x-4y=24	$y = - \frac{1}{4} x - 2$ , $3 x - 4 y = 24$
80087	Solve by Addition/Elimination	9x-3y=3 -3x+y=-1	$9 x - 3 y = 3$ $- 3 x + y = - 1$
80088	Find the Intersection of the Inequalities	x-2y=2 , x+y=0	$x - 2 y = 2$ , $x + y = 0$
80089	Solve by Graphing	3x+2y=8 , 6x+4y=20	$3 x + 2 y = 8$ , $6 x + 4 y = 20$
80090	Determine if Perpendicular	2x=14+y and 4x+2y=10	$2 x = 14 + y$ and $4 x + 2 y = 10$
80091	Solve by Graphing	x-y=-1 , x+y=7	$x - y = - 1$ , $x + y = 7$
80092	Solve by Graphing	x-2y=0 , x+2y=8	$x - 2 y = 0$ , $x + 2 y = 8$
80093	Solve by Graphing	x+2y=10 , 2x+4y=48	$x + 2 y = 10$ , $2 x + 4 y = 48$
80094	Solve by Graphing	4x=y+5 , 8x-5=2y	$4 x = y + 5$ , $8 x - 5 = 2 y$
80095	Solve by Addition/Elimination	x-y=2 3x+2y=-9	$x - y = 2$ $3 x + 2 y = - 9$
80096	Solve by Addition/Elimination	-x-7y=14 , -4x-14y=28	$- x - 7 y = 14$ , $- 4 x - 14 y = 28$
80097	Write in Exponential Form	2 = log base 3 of 9	$2 = \log_{3} (9)$
80098	Evaluate	log of 98	$\log (98)$
80099	Evaluate	log of 68	$\log (68)$
80100	Convert to a Simplified Fraction	0.5625	$0.5625$