Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6301	Solve for x	natural log of x-7+ natural log of x+8=1	$\ln (x - 7) + \ln (x + 8) = 1$
6302	Solve for x	natural log of x=-1/2	$\ln (x) = - \frac{1}{2}$
6303	Solve for x	natural log of natural log of 3x=0	$\ln (\ln (3 x)) = 0$
6304	Solve for x	natural log of 3x-10=2	$\ln (3 x - 10) = 2$
6305	Solve for x	-9sin(3x)=0	$- 9 \sin (3 x) = 0$
6306	Solve for x	9x^2-6x=0	$9 x^{2} - 6 x = 0$
6307	Solve for x	(5^(x^2))/125=25^x	$\frac{5^{x^{2}}}{125} = 25^{x}$
6308	Solve for x	natural log of x^2=4	$\ln (x^{2}) = 4$
6309	Solve for x	cos(x)=1	$\cos (x) = 1$
6310	Solve for x	-8cos(8x)=0	$- 8 \cos (8 x) = 0$
6311	Solve for x	9cos(x)-9sin(x)=0	$9 \cos (x) - 9 \sin (x) = 0$
6312	Solve for x	6x^2-6x-12=0	$6 x^{2} - 6 x - 12 = 0$
6313	Solve for x	6x^2-54x+84=0	$6 x^{2} - 54 x + 84 = 0$
6314	Solve for x	-6x+24/x=0	$- 6 x + \frac{24}{x} = 0$
6315	Solve for x	6x^2+6x-72=0	$6 x^{2} + 6 x - 72 = 0$
6316	Solve for x	6x^2+84x+270=0	$6 x^{2} + 84 x + 270 = 0$
6317	Solve for x	5 natural log of x=1	$5 \ln (x) = 1$
6318	Solve for x	-5sin(5x)=0	$- 5 \sin (5 x) = 0$
6319	Solve for x	6x^2-384x+3456=0	$6 x^{2} - 384 x + 3456 = 0$
6320	Solve for x	6x^2-432x+4374=0	$6 x^{2} - 432 x + 4374 = 0$
6321	Solve for x	6x^2-4x-2=0	$6 x^{2} - 4 x - 2 = 0$
6322	Solve for x	y=- square root of 5-x	$y = - \sqrt{5 - x}$
6323	Solve for x	y=x^2-3x	$y = x^{2} - 3 x$
6324	Solve for x	x=16e^(-0.000121*6780)	$x = 16 e^{- 0.000121 \cdot 6780}$
6325	Solve for x	x=x^2	$x = x^{2}$
6326	Solve for x	x=60 square root of 3t	$x = 60 \sqrt{3} t$
6327	Solve for x	x square root of 4-x^2-(x^2)/( square root of 4-x^2)=0	$x \sqrt{4 - x^{2}} - \frac{x^{2}}{\sqrt{4 - x^{2}}} = 0$
6328	Solve for x	log of 4+x- log of x-5 = log of 4	$\log (4 + x) - \log (x - 5) = \log (4)$
6329	Solve for x	sin(x)-1=0	$\sin (x) - 1 = 0$
6330	Solve for x	natural log of e^(x^2)=25	$\ln (e^{x^{2}}) = 25$
6331	Solve for x	4cos(x)^2-9cos(x)+2=0	$4 \cos^{2} (x) - 9 \cos (x) + 2 = 0$
6332	Solve for x	sin(x^2)=0	$\sin (x^{2}) = 0$
6333	Simplify	2^8	$2^{8}$
6334	Simplify	3/4x^(-1/4)	$\frac{3}{4} x^{- \frac{1}{4}}$
6335	Simplify	4(x+h)^3	$4 {(x + h)}^{3}$
6336	Simplify	1/x-1	$\frac{1}{x} - 1$
6337	Simplify	pi/3-2sin(pi/3)	$\frac{π}{3} - 2 \sin (\frac{π}{3})$
6338	Simplify	e^(2x)(1-5e^(3x))	$e^{2 x} (1 - 5 e^{3 x})$
6339	Simplify	(6+h)^3	${(6 + h)}^{3}$
6340	Simplify	a/b-c/d	$\frac{a}{b} - \frac{c}{d}$
6341	Simplify	(3-2x)^2	${(3 - 2 x)}^{2}$
6342	Simplify	(3x^(1/2))^2	${(3 x^{\frac{1}{2}})}^{2}$
6343	Simplify	(-1+h)^3	${(- 1 + h)}^{3}$
6344	Simplify	(2t^2-1)^2	${(2 t^{2} - 1)}^{2}$
6345	Simplify	(2-y^(1/3))^2	${(2 - y^{\frac{1}{3}})}^{2}$
6346	Simplify	-(c-8)^2	$- {(c - 8)}^{2}$
6347	Simplify	(a+b)^6	${(a + b)}^{6}$
6348	Simplify	(x(x^2+2)^(1/2))^2	${(x {(x^{2} + 2)}^{\frac{1}{2}})}^{2}$
6349	Simplify	(h-1)^3	${(h - 1)}^{3}$
6350	Simplify	(4x-x^2)^2	${(4 x - x^{2})}^{2}$
6351	Simplify	(6x-3)^2-9	${(6 x - 3)}^{2} - 9$
6352	Simplify	(9x^(1/2))^2	${(9 x^{\frac{1}{2}})}^{2}$
6353	Simplify	1/(x^(-1/2))	$\frac{1}{x^{- \frac{1}{2}}}$
6354	Simplify	1/(1-sin(t))+1/(1+sin(t))	$\frac{1}{1 - \sin (t)} + \frac{1}{1 + \sin (t)}$
6355	Simplify	(x^3)/3	$\frac{x^{3}}{3}$
6356	Simplify	(e^x)/(e^(2x))	$\frac{e^{x}}{e^{2 x}}$
6357	Simplify	(e^x)/(e^(-x))	$\frac{e^{x}}{e^{- x}}$
6358	Simplify	(4^-3)/(2^-8)	$\frac{4^{- 3}}{2^{- 8}}$
6359	Simplify	(x^2-1/(4x^2))^2	${(x^{2} - \frac{1}{4 x^{2}})}^{2}$
6360	Simplify	(x^(-2/3))^2	${(x^{- \frac{2}{3}})}^{2}$
6361	Simplify	(x^2+4)^(1/2)	${(x^{2} + 4)}^{\frac{1}{2}}$
6362	Simplify	(x^2+2)^3	${(x^{2} + 2)}^{3}$
6363	Simplify	(1/x-1/a)/(x-a)	$\frac{\frac{1}{x} - \frac{1}{a}}{x - a}$
6364	Simplify	((y^2)/2)^2	${(\frac{y^{2}}{2})}^{2}$
6365	Simplify	(e^t)^2	${(e^{t})}^{2}$
6366	Simplify	(1/2*(x-1)^(-1/2))^2	${(\frac{1}{2} \cdot {(x - 1)}^{- \frac{1}{2}})}^{2}$
6367	Simplify	(e^(2x))^2	${(e^{2 x})}^{2}$
6368	Simplify	(x/(x-3))+(x-21)/(x^2-9)	$(\frac{x}{x - 3}) + \frac{x - 21}{x^{2} - 9}$
6369	Graph	f(x)=x/(x^2+64)	$f (x) = \frac{x}{x^{2} + 64}$
6370	Solve for Z	cot(x)=1.567	$\cot (x) = 1.567$
6371	Solve for y	x^2y-x^2+4y=0	$x^{2} y - x^{2} + 4 y = 0$
6372	Solve for y	x^2y+y^4-3x=8	$x^{2} y + y^{4} - 3 x = 8$
6373	Solve for x	3x^2-2x-2=0	$3 x^{2} - 2 x - 2 = 0$
6374	Solve for x	3=2+5e^(-4x)	$3 = 2 + 5 e^{- 4 x}$
6375	Solve for x	x=11/3*((1/3)x)+7/3	$x = \frac{11}{3} \cdot ((\frac{1}{3}) x) + \frac{7}{3}$
6376	Simplify	6x^2+6x-12	$6 x^{2} + 6 x - 12$
6377	Simplify	80-3(4+h)^2	$80 - 3 {(4 + h)}^{2}$
6378	Simplify	8cos(x)	$8 \cos (x)$
6379	Simplify	50x-0.5x^2-(5x+20)	$50 x - 0.5 x^{2} - (5 x + 20)$
6380	Simplify	2x(2x)	$2 x (2 x)$
6381	Simplify	3(3x+2)-3(3x-2)	$3 (3 x + 2) - 3 (3 x - 2)$
6382	Simplify	2pi+sin(2pi)	$2 π + \sin (2 π)$
6383	Simplify	2cos(x)sin(x)	$2 \cos (x) \sin (x)$
6384	Simplify	2x^(-1/2)	$2 x^{- \frac{1}{2}}$
6385	Simplify	3(a-2bi)-(2b-7ai)	$3 (a - 2 b i) - (2 b - 7 a i)$
6386	Simplify	square root of x+h- square root of x	$\sqrt{x + h} - \sqrt{x}$
6387	Simplify	(sin(x))/(tan(x))	$\frac{\sin (x)}{\tan (x)}$
6388	Simplify	(sin(x+y))/(cos(x)cos(y))	$\frac{\sin (x + y)}{\cos (x) \cos (y)}$
6389	Simplify	sin(3x)^2	$\sin^{2} (3 x)$
6390	Simplify	arcsin(-1/2)	$\arcsin (- \frac{1}{2})$
6391	Simplify	(sin(3x))/(1+sin(3x))	$\frac{\sin (3 x)}{1 + \sin (3 x)}$
6392	Simplify	xe^x	$x e^{x}$
6393	Simplify	1-1/(x^2)	$1 - \frac{1}{x^{2}}$
6394	Simplify	1-cos(0)	$1 - \cos (0)$
6395	Solve for x	e^(2-3x)>4	$e^{2 - 3 x} > 4$
6396	Solve for x	\|4x-5\|=10	$\| 4 x - 5 \| = 10$
6397	Solve for t	N=48(1-e^(-0.07t))	$N = 48 (1 - e^{- 0.07 t})$
6398	Solve for u	u/2-2/3<u/3+2	$\frac{u}{2} - \frac{2}{3} < \frac{u}{3} + 2$
6399	Solve for x	(2x-4)(x+2)=0	$(2 x - 4) (x + 2) = 0$
6400	Solve for x	(x+3)(x-3)>0	$(x + 3) (x - 3) > 0$