Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9501	Solve for b	log base b of 64=3	$\log_{b} (64) = 3$
9502	Solve for b	(2pi)/b=12	$\frac{2 π}{b} = 12$
9503	Solve for d	tan(42.1864)=79/d	$\tan (42.1864) = \frac{79}{d}$
9504	Solve for c	3^2+3^2=c^2	$3^{2} + 3^{2} = c^{2}$
9505	Solve for l	t=2p square root of l/g	$t = 2 p \sqrt{\frac{l}{g}}$
9506	Solve for r	r=10cos(x)	$r = 10 \cos (x)$
9507	Solve for Q	Q=200e^(0.195^12)	$Q = 200 e^{{0.195}^{12}}$
9508	Solve for x	cos(x)^2-sin(x)^2=0	$\cos^{2} (x) - \sin^{2} (x) = 0$
9509	Solve for x	cos(x)^2-sin(x)^2=1	$\cos^{2} (x) - \sin^{2} (x) = 1$
9510	Solve for x	cos(x)^2-sin(x)^2=sin(x)	$\cos^{2} (x) - \sin^{2} (x) = \sin (x)$
9511	Solve for x	arccos(x-1/2)=pi/3	$\arccos (x - \frac{1}{2}) = \frac{π}{3}$
9512	Solve for x	cos(x)^2=0	$\cos^{2} (x) = 0$
9513	Solve for x	cos(x)^2=4/25	$\cos^{2} (x) = \frac{4}{25}$
9514	Solve for x	arccos(cos(x))=pi/3	$\arccos (\cos (x)) = \frac{π}{3}$
9515	Solve for x	arccos(x)+arcsin(1/2)=pi/2	$\arccos (x) + \arcsin (\frac{1}{2}) = \frac{π}{2}$
9516	Solve for x	arccos(x)=0	$\arccos (x) = 0$
9517	Solve for x	cot(x)^2=1/3	$\cot^{2} (x) = \frac{1}{3}$
9518	Solve for x	cos(x)^2-9cos(x)-1=0	$\cos^{2} (x) - 9 \cos (x) - 1 = 0$
9519	Solve for x	e^(2x-1)=(e^5)^(-x)	$e^{2 x - 1} = {(e^{5})}^{- x}$
9520	Solve for x	e^(4x)=12	$e^{4 x} = 12$
9521	Solve for x	7^(x-2)=5^x	$7^{x - 2} = 5^{x}$
9522	Solve for x	8^x=32768	$8^{x} = 32768$
9523	Solve for x	6^x=45	$6^{x} = 45$
9524	Solve for x	25^x=1/125	$25^{x} = \frac{1}{125}$
9525	Solve for x	3/(x+3)+2/(x-4)=4/3	$\frac{3}{x + 3} + \frac{2}{x - 4} = \frac{4}{3}$
9526	Solve for x	5/x+8/(5x)-1/5=2	$\frac{5}{x} + \frac{8}{5 x} - \frac{1}{5} = 2$
9527	Solve for x	square root of 3x+16=x+2	$\sqrt{3 x + 16} = x + 2$
9528	Solve for x	square root of 5x+2-3=0	$\sqrt{5 x + 2} - 3 = 0$
9529	Solve for x	- square root of 2sec(x)=2	$- \sqrt{2} \sec (x) = 2$
9530	Solve for x	square root of 2cos(x-1)=0	$\sqrt{2} \cos (x - 1) = 0$
9531	Solve for x	square root of 2cos(x)+1=0	$\sqrt{2} \cos (x) + 1 = 0$
9532	Solve for x	tan(x-1/3)^2=0	$\tan^{2} (x - \frac{1}{3}) = 0$
9533	Solve for x	sin(x-1)^2=0	$\sin^{2} (x - 1) = 0$
9534	Solve for x	tan(2x)^2-3=0	$\tan^{2} (2 x) - 3 = 0$
9535	Solve for x	tan(x)^2+3=0	$\tan^{2} (x) + 3 = 0$
9536	Find the Coterminal Angle	(27pi)/10	$\tan^{2} (x) = \frac{3}{2} \cdot \sec (x)$
9537	Solve for x	sec(x)^2-sec(x)-2=0	$\sec^{2} (x) - \sec (x) - 2 = 0$
9538	Solve for x	sin(x)^2-1/2=0	$\sin^{2} (x) - \frac{1}{2} = 0$
9539	Solve for x	sec(x)^2=4/3	$\sec^{2} (x) = \frac{4}{3}$
9540	Solve for x	sin(x)^2-cos(x)^2=1	$\sin^{2} (x) - \cos^{2} (x) = 1$
9541	Solve for x	sin(x)^2=cos(x)^2+1	$\sin^{2} (x) = \cos^{2} (x) + 1$
9542	Solve for x	sin(x)^2=0	$\sin^{2} (x) = 0$
9543	Solve for x	sin(x)^2-2sin(x)=0	$\sin^{2} (x) - 2 \sin (x) = 0$
9544	Solve for x	e^( natural log of x-1)=6	$e^{\ln (x - 1)} = 6$
9545	Solve for x	log of 1000=x	$\log (1000) = x$
9546	Solve for x	log base 2 of x=-4	$\log_{2} (x) = - 4$
9547	Solve for x	log base 2 of 9x- log base 2 of 3=3	$\log_{2} (9 x) - \log_{2} (3) = 3$
9548	Solve for x	log base 4 of x=2.5	$\log_{4} (x) = 2.5$
9549	Solve for x	log base 7 of x-5+ log base 7 of x+1=1	$\log_{7} (x - 5) + \log_{7} (x + 1) = 1$
9550	Solve for x	log base 6 of x+4- log base 6 of x-4 = log base 6 of 5	$\log_{6} (x + 4) - \log_{6} (x - 4) = \log_{6} (5)$
9551	Solve for x	2cos(x)^2+ square root of 2cos(x)=0	$2 \cos^{2} (x) + \sqrt{2} \cos (x) = 0$
9552	Solve for x	2(3+cos(x))=7	$2 (3 + \cos (x)) = 7$
9553	Solve for x	2cos(x)^2=cos(x)	$2 \cos^{2} (x) = \cos (x)$
9554	Solve for x	2cos(x)^2-1-cos(x)=0	$2 \cos^{2} (x) - 1 - \cos (x) = 0$
9555	Solve for x	-2cos(x)^2=cos(x)-1	$- 2 \cos^{2} (x) = \cos (x) - 1$
9556	Solve for x	2 log base 5 of x- log base 5 of 5 = log base 5 of 125	$2 \log_{5} (x) - \log_{5} (5) = \log_{5} (125)$
9557	Solve for x	16cos(x)^2-12=0	$16 \cos^{2} (x) - 12 = 0$
9558	Solve for x	18arctan(x)=3pi	$18 \arctan (x) = 3 π$
9559	Solve for x	2(cos(x)+1)=2	$2 (\cos (x) + 1) = 2$
9560	Solve for x	2sin(x)^2-3sin(x)-2=0	$2 \sin^{2} (x) - 3 \sin (x) - 2 = 0$
9561	Solve for x	2sin(x)^2-5sin(x)+2=0	$2 \sin^{2} (x) - 5 \sin (x) + 2 = 0$
9562	Solve for x	2x^2=8x	$2 x^{2} = 8 x$
9563	Solve for x	2sin(x)^2=5sin(x)+3	$2 \sin^{2} (x) = 5 \sin (x) + 3$
9564	Solve for x	2tan(x)sin(x)+2sin(x)=tan(x)+1	$2 \tan (x) \sin (x) + 2 \sin (x) = \tan (x) + 1$
9565	Solve for x	-3arcsin(2x)=pi	$- 3 \arcsin (2 x) = π$
9566	Solve for x	3sin(x)^2+6sin(x)+3=0	$3 \sin^{2} (x) + 6 \sin (x) + 3 = 0$
9567	Solve for x	3sin(x)^2-7sin(x)+2=0	$3 \sin^{2} (x) - 7 \sin (x) + 2 = 0$
9568	Solve for x	3sin(x)^2-sin(x)-1=0	$3 \sin^{2} (x) - \sin (x) - 1 = 0$
9569	Solve for x	3cot(x)^2-9=0	$3 \cot^{2} (x) - 9 = 0$
9570	Solve for x	2sin(x)cos(x)-sin(x)=0	$2 \sin (x) \cos (x) - \sin (x) = 0$
9571	Solve for x	2sin(x)cos(x)=1	$2 \sin (x) \cos (x) = 1$
9572	Solve for x	2sin(x)=- square root of 3	$2 \sin (x) = - \sqrt{3}$
9573	Solve for x	2sin(x)-1=csc(x)	$2 \sin (x) - 1 = \csc (x)$
9574	Solve for x	2sin(x)+tan(x)=0	$2 \sin (x) + \tan (x) = 0$
9575	Solve for x	2sin(x)+3=4	$2 \sin (x) + 3 = 4$
9576	Solve for x	2sin(2x)sin(x)-3cos(x)=0	$2 \sin (2 x) \sin (x) - 3 \cos (x) = 0$
9577	Solve for x	2sin(2x)+ square root of 2=0	$2 \sin (2 x) + \sqrt{2} = 0$
9578	Solve for x	2sin(2x)=cos(x)	$2 \sin (2 x) = \cos (x)$
9579	Solve for x	2sin(x/2)+1=0	$2 \sin (\frac{x}{2}) + 1 = 0$
9580	Solve for x	2 log of x = log of 8	$2 \log (x) = \log (8)$
9581	Solve for x	2cos(x)-1=sec(x)	$2 \cos (x) - 1 = \sec (x)$
9582	Solve for x	2cos(x)+tan(x)=sec(x)	$2 \cos (x) + \tan (x) = \sec (x)$
9583	Solve for x	2cos(x)=- square root of 3	$2 \cos (x) = - \sqrt{3}$
9584	Solve for x	2cot(x)=3sec(x)	$2 \cot (x) = 3 \sec (x)$
9585	Solve for x	2cos(3x)+1=0	$2 \cos (3 x) + 1 = 0$
9586	Solve for x	2cos(2x)-2cos(x)=0	$2 \cos (2 x) - 2 \cos (x) = 0$
9587	Solve for x	2cos(2x)- square root of 2=0	$2 \cos (2 x) - \sqrt{2} = 0$
9588	Solve for x	2cos(2x)- square root of 3=0	$2 \cos (2 x) - \sqrt{3} = 0$
9589	Solve for x	x/( square root of 5)=1/( square root of 2)	$\frac{x}{\sqrt{5}} = \frac{1}{\sqrt{2}}$
9590	Solve for x	square root of 6x+3=2 square root of x	$\sqrt{6 x + 3} = 2 \sqrt{x}$
9591	Solve for x	x^2-2sin(2x)=5x	$x^{2} - 2 \sin (2 x) = 5 x$
9592	Solve for x	tan(x)^2sin(x)=3sin(x)	$\tan^{2} (x) \sin (x) = 3 \sin (x)$
9593	Solve for x	x^2=4py	$x^{2} = 4 p y$
9594	Solve for x	1-2sin(x)^2=0	$1 - 2 \sin^{2} (x) = 0$
9595	Solve for x	13arccos(x)-2pi=arccos(x)	$13 \arccos (x) - 2 π = \arccos (x)$
9596	Solve for x	15sec(x)^2-20=0	$15 \sec^{2} (x) - 20 = 0$
9597	Solve for x	150x+225y=41025	$150 x + 225 y = 41025$
9598	Solve for x	10cos(x)^2+5cos(x)-5=0	$10 \cos^{2} (x) + 5 \cos (x) - 5 = 0$
9599	Solve for x	10tan(x)=-10	$10 \tan (x) = - 10$
9600	Solve for x	x^2-9x-36=0	$x^{2} - 9 x - 36 = 0$