Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13901	Solve for x	log base 20 of -2x+7 = log base 20 of 2x-1	$\log_{20} (- 2 x + 7) = \log_{20} (2 x - 1)$
13902	Solve for x	log base 3 of 3x = log base 3 of x+ log base 3 of 4-x	$\log_{3} (3 x) = \log_{3} (x) + \log_{3} (4 - x)$
13903	Solve for x	log base 2 of 3x=4	$\log_{2} (3 x) = 4$
13904	Solve for x	log base 2 of 3^x = log base 4 of 10	$\log_{2} (3^{x}) = \log_{4} (10)$
13905	Solve for x	log base 12 of x+ log base 12 of x-1=1	$\log_{12} (x) + \log_{12} (x - 1) = 1$
13906	Solve for x	log base 2 of log base 3 of x=2	$\log_{2} (\log_{3} (x)) = 2$
13907	Solve for x	log base 11 of x^2=4	$\log_{11} (x^{2}) = 4$
13908	Solve for x	e^(9x)=6	$e^{9 x} = 6$
13909	Solve for x	e^(-5x)=3	$e^{- 5 x} = 3$
13910	Solve for x	e^( natural log of x-4)=7	$e^{\ln (x - 4)} = 7$
13911	Solve for x	e^( natural log of x-4)=8	$e^{\ln (x - 4)} = 8$
13912	Solve for x	e^(x+9)=22	$e^{x + 9} = 22$
13913	Solve for x	sin(x)^2-3sin(x)-4=0	$\sin^{2} (x) - 3 \sin (x) - 4 = 0$
13914	Solve for x	sin(x)^2-4cos(x)-4=0	$\sin^{2} (x) - 4 \cos (x) - 4 = 0$
13915	Solve for x	sin(x)^2-sin(x)-12=0	$\sin^{2} (x) - \sin (x) - 12 = 0$
13916	Solve for x	sin(x)^2-8cos(x)-8=0	$\sin^{2} (x) - 8 \cos (x) - 8 = 0$
13917	Solve for x	sin(x)^4=sin(x)^2	$\sin^{4} (x) = \sin^{2} (x)$
13918	Solve for x	sin(x)^2+3cos(x)^2=0	$\sin^{2} (x) + 3 \cos^{2} (x) = 0$
13919	Solve for x	sin(x)^2+3cos(x)^2=1	$\sin^{2} (x) + 3 \cos^{2} (x) = 1$
13920	Solve for x	sin(x)^2+7sin(x)+6=0	$\sin^{2} (x) + 7 \sin (x) + 6 = 0$
13921	Solve for x	sin(x)^2+8sin(x)-4=0	$\sin^{2} (x) + 8 \sin (x) - 4 = 0$
13922	Solve for x	sin(x)^2=2sin(x)+3	$\sin^{2} (x) = 2 \sin (x) + 3$
13923	Solve for x	sin(x)^2-2cos(x)^2=0	$\sin^{2} (x) - 2 \cos^{2} (x) = 0$
13924	Solve for x	sin(x)^2=2-2cos(x)	$\sin^{2} (x) = 2 - 2 \cos (x)$
13925	Solve for x	sin(x)^2cos(x)^2=(2- square root of 2)/16	$\sin^{2} (x) \cos^{2} (x) = \frac{2 - \sqrt{2}}{16}$
13926	Solve for x	sin(x)^2-1/3=0	$\sin^{2} (x) - \frac{1}{3} = 0$
13927	Solve for x	sin(x)^2-cos(x)^2=( square root of 3)/2	$\sin^{2} (x) - \cos^{2} (x) = \frac{\sqrt{3}}{2}$
13928	Solve for x	sin(x)^2cos(x)^2=1/4	$\sin^{2} (x) \cos^{2} (x) = \frac{1}{4}$
13929	Solve for x	sin(x)^2+2sin(x)-3=0	$\sin^{2} (x) + 2 \sin (x) - 3 = 0$
13930	Solve for x	arcsin(x)=arccos(8/17)	$\arcsin (x) = \arccos (\frac{8}{17})$
13931	Solve for x	arcsin(x)=pi/3	$\arcsin (x) = \frac{π}{3}$
13932	Solve for x	arcsin(x)=pi/4	$\arcsin (x) = \frac{π}{4}$
13933	Solve for x	arcsin(5/13)+arccos(x)=pi/4	$\arcsin (\frac{5}{13}) + \arccos (x) = \frac{π}{4}$
13934	Solve for x	arcsin(x)-arctan(( square root of 3)/3)=-pi/6	$\arcsin (x) - \arctan (\frac{\sqrt{3}}{3}) = - \frac{π}{6}$
13935	Solve for x	(sin(110))/5=(sin(55))/x	$\frac{\sin (110)}{5} = \frac{\sin (55)}{x}$
13936	Solve for x	(sin(28))/x=(sin(110))/42	$\frac{\sin (28)}{x} = \frac{\sin (110)}{42}$
13937	Solve for x	(sin(112))/32=(sin(x))/17	$\frac{\sin (112)}{32} = \frac{\sin (x)}{17}$
13938	Solve for x	sec(x)^2-2tan(x)=0	$\sec^{2} (x) - 2 \tan (x) = 0$
13939	Solve for x	sec(x)^2-2tan(x)^2=-2	$\sec^{2} (x) - 2 \tan^{2} (x) = - 2$
13940	Solve for x	sec(x+2)^2sec(x)=0	$\sec^{2} (x + 2) \sec (x) = 0$
13941	Solve for x	sec(x-1)^2=0	$\sec^{2} (x - 1) = 0$
13942	Solve for θ in Radians	tan(theta)=1	$\sec^{6} (x) - \tan^{6} (y) = 1 + 3 \sec^{2} (x) \tan^{2} (x)$
13943	Solve for x	(sin(4x))/(cos(4x-1))=0	$\frac{\sin (4 x)}{\cos (4 x - 1)} = 0$
13944	Solve for x	(sin(31.6))/21=(sin(x))/29	$\frac{\sin (31.6)}{21} = \frac{\sin (x)}{29}$
13945	Solve for x	(sin(30))/x=(sin(60))/y	$\frac{\sin (30)}{x} = \frac{\sin (60)}{y}$
13946	Solve for x	(sin(43.1))/184.4=(sin(71.4))/x	$\frac{\sin (43.1)}{184.4} = \frac{\sin (71.4)}{x}$
13947	Solve for x	sec(x)^2+4tan(x)=2	$\sec^{2} (x) + 4 \tan (x) = 2$
13948	Solve for x	-pi/6=arctan(x)	$- \frac{π}{6} = \arctan (x)$
13949	Solve for x	sec(x)^2+ square root of 3sec(x)- square root of 2sec(x)- square root of 6=0	$\sec^{2} (x) + \sqrt{3} \sec (x) - \sqrt{2} \sec (x) - \sqrt{6} = 0$
13950	Solve for x	sec(x)^2+2tan(x)=6	$\sec^{2} (x) + 2 \tan (x) = 6$
13951	Solve for x	tan(x)^2=2tan(x)+1	$\tan^{2} (x) = 2 \tan (x) + 1$
13952	Solve for x	sin(x)^2+cos(x)+1=0	$\sin^{2} (x) + \cos (x) + 1 = 0$
13953	Solve for x	tan(x)^2=4-2tan(x)	$\tan^{2} (x) = 4 - 2 \tan (x)$
13954	Solve for x	tan(x)^2-2sec(x)+1=0	$\tan^{2} (x) - 2 \sec (x) + 1 = 0$
13955	Solve for x	tan(6x)^2=3	$\tan^{2} (6 x) = 3$
13956	Solve for x	tan(9x)^2=3	$\tan^{2} (9 x) = 3$
13957	Solve for x	tan(x)^2sin(x)^2=tan(x)^2-sin(x)^2	$\tan^{2} (x) \sin^{2} (x) = \tan^{2} (x) - \sin^{2} (x)$
13958	Solve for x	sin(x)^3=sin(x)	$\sin^{3} (x) = \sin (x)$
13959	Solve for x	tan(3x)^2-3=0	$\tan^{2} (3 x) - 3 = 0$
13960	Solve for x	tan(5x)^2=3	$\tan^{2} (5 x) = 3$
13961	Solve for x	tan(x)^2=3	$\tan^{2} (x) = 3$
13962	Solve for x	sin(x)^4+2sin(x)^2-3=0	$\sin^{4} (x) + 2 \sin^{2} (x) - 3 = 0$
13963	Solve for x	tan(x)^2-tan(x)-2=0	$\tan^{2} (x) - \tan (x) - 2 = 0$
13964	Solve for x	tan(x)^2cot(x)=3	$\tan^{2} (x) \cot (x) = 3$
13965	Solve for x	tan(x)^2-3sec(x)=-3	$\tan^{2} (x) - 3 \sec (x) = - 3$
13966	Solve for x	tan(x)^2-3tan(x)+1=0	$\tan^{2} (x) - 3 \tan (x) + 1 = 0$
13967	Solve for x	tan(x)^2-4=0	$\tan^{2} (x) - 4 = 0$
13968	Solve for x	square root of x^2+x-1+11x=7x+3	$\sqrt{x^{2} + x - 1} + 11 x = 7 x + 3$
13969	Solve for x	square root of 2cos(2x)=-1	$\sqrt{2} \cos (2 x) = - 1$
13970	Solve for x	square root of 2csc(x)+2=0	$\sqrt{2} \csc (x) + 2 = 0$
13971	Solve for x	square root of 2sin(x)+sin(2x)=0	$\sqrt{2} \sin (x) + \sin (2 x) = 0$
13972	Solve for x	square root of 2sin(x)cos(x)-sin(x)- square root of 2cos(x)+1=0	$\sqrt{2} \sin (x) \cos (x) - \sin (x) - \sqrt{2} \cos (x) + 1 = 0$
13973	Solve for x	square root of 2sin(x)sec(x)=2sin(x)	$\sqrt{2} \sin (x) \sec (x) = 2 \sin (x)$
13974	Solve for x	square root of 2sin(x-1)=0	$\sqrt{2} \sin (x - 1) = 0$
13975	Solve for x	square root of 2tan(x)=2sin(x)	$\sqrt{2} \tan (x) = 2 \sin (x)$
13976	Solve for x	square root of 2*sin(x)-1=0	$\sqrt{2} \cdot \sin (x) - 1 = 0$
13977	Solve for x	square root of 2sin(x)^2+sin(x)=0	$\sqrt{2} \sin^{2} (x) + \sin (x) = 0$
13978	Solve for x	square root of 2sin(x)^2-sin(x)=0	$\sqrt{2} \sin^{2} (x) - \sin (x) = 0$
13979	Solve for x	square root of -3x+28=x	$\sqrt{- 3 x + 28} = x$
13980	Solve for x	square root of 4sin(x)+7=3	$\sqrt{4 \sin (x) + 7} = 3$
13981	Solve for x	square root of 5x-1+3=x	$\sqrt{5 x - 1} + 3 = x$
13982	Solve for x	square root of 5x-1=3	$\sqrt{5 x - 1} = 3$
13983	Solve for x	square root of 5x-10=x-2	$\sqrt{5 x - 10} = x - 2$
13984	Solve for x	square root of 4x+16=x+1	$\sqrt{4 x + 16} = x + 1$
13985	Solve for x	square root of 3x+7=x+3	$\sqrt{3 x + 7} = x + 3$
13986	Solve for x	square root of 3x+7=x-71	$\sqrt{3 x + 7} = x - 71$
13987	Solve for x	square root of 3sin(x)sec(x)=2sin(x)	$\sqrt{3} \sin (x) \sec (x) = 2 \sin (x)$
13988	Solve for x	square root of 3*tan(3x)=0	$\sqrt{3} \cdot \tan (3 x) = 0$
13989	Solve for x	square root of 3+2sin(x)=0	$\sqrt{3} + 2 \sin (x) = 0$
13990	Solve for x	square root of 2x-9-1=0	$\sqrt{2 x - 9} - 1 = 0$
13991	Solve for x	square root of 3cos(x)=sin(x)+1	$\sqrt{3} \cos (x) = \sin (x) + 1$
13992	Solve for x	square root of 2sin(x)-1=0	$\sqrt{2} \sin (x) - 1 = 0$
13993	Solve for x	square root of 3cot(3x)-1=0	$\sqrt{3} \cot (3 x) - 1 = 0$
13994	Solve for x	square root of 3cot(x)=3	$\sqrt{3} \cot (x) = 3$
13995	Solve for x	square root of 2tan(x)cos(x)-tan(x)=0	$\sqrt{2} \tan (x) \cos (x) - \tan (x) = 0$
13996	Solve for x	square root of 2x+5=7	$\sqrt{2 x + 5} = 7$
13997	Solve for x	square root of 2x-2=1+ square root of 4-x	$\sqrt{2 x - 2} = 1 + \sqrt{4 - x}$
13998	Solve for x	square root of 2x-3-2=5	$\sqrt{2 x - 3} - 2 = 5$
13999	Solve for x	square root of 2x-4=x-2	$\sqrt{2 x - 4} = x - 2$
14000	Solve for x	(4x)/(x-3)=2+12/(x-3)	$\frac{4 x}{x - 3} = 2 + \frac{12}{x - 3}$