Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
59801	Simplify	(i square root of -162)( square root of -108)	$(i \sqrt{- 162}) (\sqrt{- 108})$
59802	Simplify	(15x^2y^10z^7)/(5x^3y^4z^10)	$\frac{15 x^{2} y^{10} z^{7}}{5 x^{3} y^{4} z^{10}}$
59803	Solve by Addition/Elimination	2x+5y=-9 3x-4y=-2	$2 x + 5 y = - 9$ $3 x - 4 y = - 2$
59804	Solve for x	5e^(3x)+7=21	$5 e^{3 x} + 7 = 21$
59805	Solve for x	x^2-10x=0	$x^{2} - 10 x = 0$
59806	Solve by Addition/Elimination	2x+6y=6 3x-2y=20	$2 x + 6 y = 6$ $3 x - 2 y = 20$
59807	Evaluate	log base 1/3 of 27	$\log_{\frac{1}{3}} (27)$
59808	Solve by Addition/Elimination	2x+7y=-1 4x-3y=-19	$2 x + 7 y = - 1$ $4 x - 3 y = - 19$
59809	Solve for x	x^2-5x+5=0	$x^{2} - 5 x + 5 = 0$
59810	Write in Exponential Form	log base 3 of x+5=2	$\log_{3} (x + 5) = 2$
59811	Solve by Substitution	2x+3y=6 , 2x+y=-2	$2 x + 3 y = 6$ , $2 x + y = - 2$
59812	Convert to Interval Notation	x^2+3x-10<=0	$x^{2} + 3 x - 10 \leq 0$
59813	Solve by Addition/Elimination	-2x+y=-8 x-1/2y=4	$- 2 x + y = - 8$ $x - \frac{1}{2} y = 4$
59814	Solve by Addition/Elimination	2x=3y-1 6x-9y=-3	$2 x = 3 y - 1$ $6 x - 9 y = - 3$
59815	Solve Using the Quadratic Formula	x^2=-13x-4	$x^{2} = - 13 x - 4$
59816	Graph	y=4 square root of x	$y = 4 \sqrt{x}$
59817	Solve for x	(x+2)/(y-1)=2	$\frac{x + 2}{y - 1} = 2$
59818	Solve by Addition/Elimination	2x-3y=3 -4x+6y=-6	$2 x - 3 y = 3$ $- 4 x + 6 y = - 6$
59819	Solve for x	(x+1)/3=5-(x+2)/7	$\frac{x + 1}{3} = 5 - \frac{x + 2}{7}$
59820	Solve for x	4^(x+2)=8	$4^{x + 2} = 8$
59821	Solve by Addition/Elimination	2x-3y=8 -2x+6y=-20	$2 x - 3 y = 8$ $- 2 x + 6 y = - 20$
59822	Solve for x	4^(x-1)=16	$4^{x - 1} = 16$
59823	Solve for x	4/x=5/(2x)+3	$\frac{4}{x} = \frac{5}{2 x} + 3$
59824	Solve by Addition/Elimination	2y=4x-16 5y=4x+8	$2 y = 4 x - 16$ $5 y = 4 x + 8$
59825	Solve for x	36^(5x+2)=(1/6)^(11-x)	$36^{5 x + 2} = {(\frac{1}{6})}^{11 - x}$
59826	Solve for x	32^x=2	$32^{x} = 2$
59827	Solve by Addition/Elimination	3x-4y=7 2x-y=3	$3 x - 4 y = 7$ $2 x - y = 3$
59828	Solve for x	3^(2x-1)=1/9	$3^{2 x - 1} = \frac{1}{9}$
59829	Solve for x	3^(-2x+2)=81	$3^{- 2 x + 2} = 81$
59830	Solve for x	3^(2x)=6561	$3^{2 x} = 6561$
59831	Solve for x	3/(x-3)=18/(x^2-9)	$\frac{3}{x - 3} = \frac{18}{x^{2} - 9}$
59832	Solve by Addition/Elimination	3x+2y=10 6x+4y=15	$3 x + 2 y = 10$ $6 x + 4 y = 15$
59833	Solve for x	3^x=28	$3^{x} = 28$
59834	Solve for x	3^x=25	$3^{x} = 25$
59835	Solve for x	3^(x+2)=27^(2x)	$3^{x + 2} = 27^{2 x}$
59836	Solve by Addition/Elimination	3x+2y=14 x+5y=9	$3 x + 2 y = 14$ $x + 5 y = 9$
59837	Solve for x	3^(x-1)=4^(2x+5)	$3^{x - 1} = 4^{2 x + 5}$
59838	Solve for x	3/4x-1/3x+5=5/6x	$\frac{3}{4} x - \frac{1}{3} x + 5 = \frac{5}{6} x$
59839	Solve by Addition/Elimination	3x+3y=27 x-3y=-11	$3 x + 3 y = 27$ $x - 3 y = - 11$
59840	Solve for x	3/5=x/10	$\frac{3}{5} = \frac{x}{10}$
59841	Solve by Addition/Elimination	3x+4y=1 , 6x+8y=2	$3 x + 4 y = 1$ , $6 x + 8 y = 2$
59842	Solve for x	(2x-3)/4=(x-4)/2-(x+1)/4	$\frac{2 x - 3}{4} = \frac{x - 4}{2} - \frac{x + 1}{4}$
59843	Solve for x	7^(x-3)=25	$7^{x - 3} = 25$
59844	Solve by Addition/Elimination	3x+4y=136 2x+3y=97	$3 x + 4 y = 136$ $2 x + 3 y = 97$
59845	Simplify	( square root of m)/( square root of 9n^3)	$\frac{\sqrt{m}}{\sqrt{9 n^{3}}}$
59846	Solve by Addition/Elimination	3x+4y=17 -4x-3y=-18	$3 x + 4 y = 17$ $- 4 x - 3 y = - 18$
59847	Solve for x	7^(x^2)=7^(2x+3)	$7^{x^{2}} = 7^{2 x + 3}$
59848	Solve for x	6^x=8	$6^{x} = 8$
59849	Solve by Addition/Elimination	3x+4y=-6 5x+3y=1	$3 x + 4 y = - 6$ $5 x + 3 y = 1$
59850	Solve for x	6^(x-3)=52	$6^{x - 3} = 52$
59851	Solve for x	64^x=1/( square root of 4)	$64^{x} = \frac{1}{\sqrt{4}}$
59852	Solve by Addition/Elimination	3x+5y=21 -9x+4y=-6	$3 x + 5 y = 21$ $- 9 x + 4 y = - 6$
59853	Solve for x	64^x=128	$64^{x} = 128$
59854	Solve for x	6^x=1/1296	$6^{x} = \frac{1}{1296}$
59855	Solve by Addition/Elimination	3x+6y=-2 15x+30y=-10	$3 x + 6 y = - 2$ $15 x + 30 y = - 10$
59856	Solve for x	6^(2x)=216	$6^{2 x} = 216$
59857	Solve for x	6/7-2/3=x/9	$\frac{6}{7} - \frac{2}{3} = \frac{x}{9}$
59858	Solve for x	5^x=16	$5^{x} = 16$
59859	Solve for x	5^(5x-6)=50	$5^{5 x - 6} = 50$
59860	Solve for x	(4x)/5-x=x/45-2/9	$\frac{4 x}{5} - x = \frac{x}{45} - \frac{2}{9}$
59861	Solve for x	(4x+1)/4-(2x+3)/3=7/12	$\frac{4 x + 1}{4} - \frac{2 x + 3}{3} = \frac{7}{12}$
59862	Solve for x	5/6x=30	$\frac{5}{6} x = 30$
59863	Solve by Addition/Elimination	3x+y=12 , 2x+2y=4	$3 x + y = 12$ , $2 x + 2 y = 4$
59864	Solve for x	log base x of 1/256=4	$\log_{x} (\frac{1}{256}) = 4$
59865	Solve for x	log base 9 of x-7+ log base 9 of x-7=1	$\log_{9} (x - 7) + \log_{9} (x - 7) = 1$
59866	Solve for x	log base 6 of x+25- log base 6 of x-10=2	$\log_{6} (x + 25) - \log_{6} (x - 10) = 2$
59867	Solve for x	log base 5 of x^2+x+4=2	$\log_{5} (x^{2} + x + 4) = 2$
59868	Solve by Addition/Elimination	3x-3y=5 -x+y=7	$3 x - 3 y = 5$ $- x + y = 7$
59869	Solve for x	log base 4 of x+ log base 4 of x-3=1	$\log_{4} (x) + \log_{4} (x - 3) = 1$
59870	Solve for x	log base 4 of 1/16=x	$\log_{4} (\frac{1}{16}) = x$
59871	Solve for x	log base 3 of x+7=3	$\log_{3} (x + 7) = 3$
59872	Solve for x	cube root of 21x=-3	$\sqrt[3]{21 x} = - 3$
59873	Solve by Addition/Elimination	3x-4y=9 -3x+2y=9	$3 x - 4 y = 9$ $- 3 x + 2 y = 9$
59874	Solve for x	square root of x+12=x	$\sqrt{x + 12} = x$
59875	Solve for x	square root of x+2+ square root of 3x+10=2	$\sqrt{x + 2} + \sqrt{3 x + 10} = 2$
59876	Simplify	9 square root of 3	$9 \sqrt{3}$
59877	Solve for x	square root of 8x-17=1	$\sqrt{8 x - 17} = 1$
59878	Solve for x	square root of x=3	$\sqrt{x} = 3$
59879	Solve by Addition/Elimination	3x-7y=10 5x+2y=3	$3 x - 7 y = 10$ $5 x + 2 y = 3$
59880	Solve for x	log base x of 2=1/4	$\log_{x} (2) = \frac{1}{4}$
59881	Solve for x	log base x of 64=3/2	$\log_{x} (64) = \frac{3}{2}$
59882	Solve by Addition/Elimination	3x-y=-1 3x+3y=27	$3 x - y = - 1$ $3 x + 3 y = 27$
59883	Solve for x	square root of 2x+3=x	$\sqrt{2 x + 3} = x$
59884	Solve for x	e^(x+2)=50	$e^{x + 2} = 50$
59885	Solve for x	e^(x+4)=1/(e^(2x))	$e^{x + 4} = \frac{1}{e^{2 x}}$
59886	Solve for x	e^(x+6)=1/e	$e^{x + 6} = \frac{1}{e}$
59887	Solve for x	e^x=0	$e^{x} = 0$
59888	Solve for x	log base 2 of 1/32=x	$\log_{2} (\frac{1}{32}) = x$
59889	Solve for x	log base 2 of x+7+ log base 2 of x+8=1	$\log_{2} (x + 7) + \log_{2} (x + 8) = 1$
59890	Solve for x	log base 2 of x-1=4	$\log_{2} (x - 1) = 4$
59891	Solve for x	log base 3 of x- log base 3 of 4=2	$\log_{3} (x) - \log_{3} (4) = 2$
59892	Solve by Addition/Elimination	4x+2y=-4 2x-y=6	$4 x + 2 y = - 4$ $2 x - y = 6$
59893	Solve for x	log base 3 of 5x=3	$\log_{3} (5 x) = 3$
59894	Solve for x	e^(4x)=6	$e^{4 x} = 6$
59895	Solve for x	e^x=1/(e^2)	$e^{x} = \frac{1}{e^{2}}$
59896	Solve for x	e^(6x)=5	$e^{6 x} = 5$
59897	Solve for x	81^(3x-6)=729^(x+4)	$81^{3 x - 6} = 729^{x + 4}$
59898	Solve by Addition/Elimination	4x+3y=16 7x+6y=31	$4 x + 3 y = 16$ $7 x + 6 y = 31$
59899	Solve for x	81^x=27^(x+2)	$81^{x} = 27^{x + 2}$
59900	Solve for x	9^x=1/( square root of 3)	$9^{x} = \frac{1}{\sqrt{3}}$