Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10701	Solve for x	4^(3 log base 4 of 5)=x	$4^{3 \log_{4} (5)} = x$
10702	Solve for x	4^x+7*2^x=44	$4^{x} + 7 \cdot 2^{x} = 44$
10703	Solve for x	4^x-64=0	$4^{x} - 64 = 0$
10704	Solve for x	(48+74+69+58+69+x)/6=70	$\frac{48 + 74 + 69 + 58 + 69 + x}{6} = 70$
10705	Solve for x	(4x)/6=3/5	$\frac{4 x}{6} = \frac{3}{5}$
10706	Solve for x	4x^2+4x-1>0	$4 x^{2} + 4 x - 1 > 0$
10707	Solve for x	64^(5x)=16^(x+4)	$64^{5 x} = 16^{x + 4}$
10708	Solve for x	(6-x)/4<(3x-4)/2	$\frac{6 - x}{4} < \frac{3 x - 4}{2}$
10709	Solve for x	7^(x^2-96)=49^(2x)	$7^{x^{2} - 96} = 49^{2 x}$
10710	Solve for x	7^(2x+1)=34	$7^{2 x + 1} = 34$
10711	Solve for x	-8/3x=-10	$- \frac{8}{3} x = - 10$
10712	Solve for x	8^(2x-1)=32	$8^{2 x - 1} = 32$
10713	Solve for x	8^(7x-x^2)=8^12	$8^{7 x - x^{2}} = 8^{12}$
10714	Solve for x	8^x=9^(x-1)	$8^{x} = 9^{x - 1}$
10715	Solve for x	8^(x-1)=1/64	$8^{x - 1} = \frac{1}{64}$
10716	Solve for x	a/(x-b)+b/(x-a)-2=0	$\frac{a}{x - b} + \frac{b}{x - a} - 2 = 0$
10717	Solve for x	ax^3+bx+c=0	$a x^{3} + b x + c = 0$
10718	Solve for x	(cos(x))/(1-sin(x))-(sin(x))/(cos(x))=sec(x)	$\frac{\cos (x)}{1 - \sin (x)} - \frac{\sin (x)}{\cos (x)} = \sec (x)$
10719	Solve for x	e^(3x)=27	$e^{3 x} = 27$
10720	Solve for x	log of (b)^x+ log of b(x-4) = log of b*21	$\log ({(b)}^{x}) + \log (b) (x - 4) = \log (b) \cdot 21$
10721	Solve for x	log of x^2-1- log of x-1=1	$\log (x^{2} - 1) - \log (x - 1) = 1$
10722	Solve for x	log base 16 of x^2+3x=1/2	$\log_{16} (x^{2} + 3 x) = \frac{1}{2}$
10723	Solve for x	log base 2 of x^2+2x-7=3	$\log_{2} (x^{2} + 2 x - 7) = 3$
10724	Solve for x	log base 4 of x^2-5x+10=1	$\log_{4} (x^{2} - 5 x + 10) = 1$
10725	Solve for x	log base 5 of x-1+ log base 5 of x+119=4	$\log_{5} (x - 1) + \log_{5} (x + 119) = 4$
10726	Solve for x	log base 6 of x+41- log base 6 of x+1=2	$\log_{6} (x + 41) - \log_{6} (x + 1) = 2$
10727	Solve for x	log base 9 of 7+ log base 9 of 3x^2*9=2	$\log_{9} (7) + \log_{9} (3 x^{2} \cdot 9) = 2$
10728	Solve for x	log base x of y+ log base y of x=2.9 , xy=128	$\log_{x} (y) + \log_{y} (x) = 2.9$ , $x y = 128$
10729	Solve for x	(sin(x))/(sin(x)+1)>1	$\frac{\sin (x)}{\sin (x) + 1} > 1$
10730	Solve for x	square root of sin(x) = square root of cos(2x)	$\sqrt{\sin (x)} = \sqrt{\cos (2 x)}$
10731	Solve for x	cube root of 3x-1-2=0	$\sqrt[3]{3 x - 1} - 2 = 0$
10732	Solve for x	x/-2<4/5	$\frac{x}{- 2} < \frac{4}{5}$
10733	Solve for x	x/-2>2	$\frac{x}{- 2} > 2$
10734	Solve for x	x/2-6=4	$\frac{x}{2} - 6 = 4$
10735	Solve for x	x/-3<3/5	$\frac{x}{- 3} < \frac{3}{5}$
10736	Solve for x	x/5=x/6-9	$\frac{x}{5} = \frac{x}{6} - 9$
10737	Solve for x	x/6-1/6=x/2+3	$\frac{x}{6} - \frac{1}{6} = \frac{x}{2} + 3$
10738	Solve for x	-x/9=-4/3	$- \frac{x}{9} = - \frac{4}{3}$
10739	Solve for x	x^2-(x-2)^2=32	$x^{2} - {(x - 2)}^{2} = 32$
10740	Solve for x	x^2-y^2=-1	$x^{2} - y^{2} = - 1$
10741	Solve for x	-x^2+14x-48<0	$- x^{2} + 14 x - 48 < 0$
10742	Solve for x	-x^2+14x-48>0	$- x^{2} + 14 x - 48 > 0$
10743	Solve for x	x^2+4x-117=0	$x^{2} + 4 x - 117 = 0$
10744	Solve for x	x^2+8=28	$x^{2} + 8 = 28$
10745	Solve for x	x^2+x-2162=0	$x^{2} + x - 2162 = 0$
10746	Solve for x	x^2=17	$x^{2} = 17$
10747	Solve for x	(x^2)/100+(y^2)/49=1	$\frac{x^{2}}{100} + \frac{y^{2}}{49} = 1$
10748	Solve for x	-(x^4-x^2-5)/(x^2+6)<0	$- \frac{x^{4} - x^{2} - 5}{x^{2} + 6} < 0$
10749	Solve for x	\|(1-2x)/4\|=2/3	$\| \frac{1 - 2 x}{4} \| = \frac{2}{3}$
10750	Solve for x	\|(3x-5)/2\|=7	$\| \frac{3 x - 5}{2} \| = 7$
10751	Solve for x	\|(x-1)/(2x+3)\|<1	$\| \frac{x - 1}{2 x + 3} \| < 1$
10752	Solve for x	\|(x-5)/x\|(x^2-x-12)=0	$\| \frac{x - 5}{x} \| (x^{2} - x - 12) = 0$
10753	Solve for x	\|1-x\|=-5	$\| 1 - x \| = - 5$
10754	Solve for x	\|3x+5\|=15	$\| 3 x + 5 \| = 15$
10755	Solve for x	\|-3x-3\|>-9	$\| - 3 x - 3 \| > - 9$
10756	Solve for x	\|4x+9\|=16	$\| 4 x + 9 \| = 16$
10757	Solve for x	\|4x-7\|=12	$\| 4 x - 7 \| = 12$
10758	Solve for x	\|5x-7\|<2	$\| 5 x - 7 \| < 2$
10759	Solve for x	\|6x-3\|<9	$\| 6 x - 3 \| < 9$
10760	Solve for x	\|7x-1\|+2=9	$\| 7 x - 1 \| + 2 = 9$
10761	Solve for x	\|-7x-7\|>-21	$\| - 7 x - 7 \| > - 21$
10762	Solve for x	\|8x-2\|=4	$\| 8 x - 2 \| = 4$
10763	Solve for x	\|x\|=2	$\| x \| = 2$
10764	Solve for x	\|x\|>-7	$\| x \| > - 7$
10765	Solve for x	\|x\|-10=-3	$\| x \| - 10 = - 3$
10766	Solve for x	\|x+2/5\|=22/5	$\| x + \frac{2}{5} \| = \frac{22}{5}$
10767	Solve for x	\|x+3\|=\|4x\|-\|3x\|	$\| x + 3 \| = \| 4 x \| - \| 3 x \|$
10768	Solve for x	\|x-1\|=-2	$\| x - 1 \| = - 2$
10769	Solve for x	\|x-2\|+\|1-5x\|+\|2x-1\|=3x	$\| x - 2 \| + \| 1 - 5 x \| + \| 2 x - 1 \| = 3 x$
10770	Solve for x	\|x-49\|=26	$\| x - 49 \| = 26$
10771	Solve for x	\|x-7\|+5=7	$\| x - 7 \| + 5 = 7$
10772	Solve for x	\|x-7\|=15	$\| x - 7 \| = 15$
10773	Solve for x	\|x-8\|=12	$\| x - 8 \| = 12$
10774	Solve for x	1/28*((21+ square root of 21)(6-7x))=x	$\frac{1}{28} \cdot ((21 + \sqrt{21}) (6 - 7 x)) = x$
10775	Solve for x	1/3x+1/3y=-1	$\frac{1}{3} x + \frac{1}{3} y = - 1$
10776	Solve for x	-1/3x+5<3	$- \frac{1}{3} x + 5 < 3$
10777	Solve for x	1/4(2x-1)>1/6(3x-2)	$\frac{1}{4} \cdot (2 x - 1) > \frac{1}{6} \cdot (3 x - 2)$
10778	Solve for x	1/4(3x-2)-8=3/8(x-5)+2	$\frac{1}{4} \cdot (3 x - 2) - 8 = \frac{3}{8} \cdot (x - 5) + 2$
10779	Solve for x	1/(4-x)=0	$\frac{1}{4 - x} = 0$
10780	Solve for x	1/5x-1/7y=1	$\frac{1}{5} x - \frac{1}{7} y = 1$
10781	Solve for x	1/5x=7/20	$\frac{1}{5} x = \frac{7}{20}$
10782	Solve for x	1/6*(9x-5)=(x+5)/12	$\frac{1}{6} \cdot (9 x - 5) = \frac{x + 5}{12}$
10783	Solve for x	1/9(x-27)-1/4(x-4)=x+6	$\frac{1}{9} \cdot (x - 27) - \frac{1}{4} \cdot (x - 4) = x + 6$
10784	Solve for x	11/10*(x+30)<50	$\frac{11}{10} \cdot (x + 30) < 50$
10785	Solve for x	13^(x+9)=16^(8x)	$13^{x + 9} = 16^{8 x}$
10786	Solve for x	16^(x+4)=64^(3x-7)	$16^{x + 4} = 64^{3 x - 7}$
10787	Solve for x	16^(x-2)=8^(-x+2)	$16^{x - 2} = 8^{- x + 2}$
10788	Solve for t	2t+7=13	$2 t + 7 = 13$
10789	Solve for t	3t-18t^2=81t	$3 t - 18 t^{2} = 81 t$
10790	Solve for t	40(t)=80/(1+120^(-0.26t))	$40 (t) = \frac{80}{1 + 120^{- 0.26 t}}$
10791	Solve for t	40(t)=80/(1+120e^(-0.26t))	$40 (t) = \frac{80}{1 + 120 e^{- 0.26 t}}$
10792	Solve for t	81.30=33+6.90t	$81.3 = 33 + 6.9 t$
10793	Solve for t	9t+4=10t-2	$9 t + 4 = 10 t - 2$
10794	Solve for t	D=J+Jrt	$D = J + J r t$
10795	Solve for t	h=-16t^2-21t+100	$h = - 16 t^{2} - 21 t + 100$
10796	Solve for t	h=2+25t-5t^2	$h = 2 + 25 t - 5 t^{2}$
10797	Solve for t	natural log of 81000/59871=0.093t	$\ln (\frac{81000}{59871}) = 0.093 t$
10798	Solve for t	r=23.4t+210	$r = 23.4 t + 210$
10799	Solve for t	t<-8	$t < - 8$
10800	Solve for t	t=-(5730 natural log of 0.27)/( natural log of 2)	$t = - \frac{5730 \ln (0.27)}{\ln (2)}$