Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21301	Convert to Interval Notation	0<a<pi/2	$0 < a < \frac{π}{2}$
21302	Convert to Interval Notation	0<x<pi/2	$0 < x < \frac{π}{2}$
21303	Convert to Interval Notation	-pi/2<5x+pi<pi/2	$- \frac{π}{2} < 5 x + π < \frac{π}{2}$
21304	Convert to Interval Notation	-pi/2<7x+pi<pi/2	$- \frac{π}{2} < 7 x + π < \frac{π}{2}$
21305	Convert to Interval Notation	pi/2<x<pi	$\frac{π}{2} < x < π$
21306	Convert to Interval Notation	x^2-7x-18<0	$x^{2} - 7 x - 18 < 0$
21307	Convert to Interval Notation	(3pi)/2<x<2pi	$\frac{3 π}{2} < x < 2 π$
21308	Convert to Interval Notation	x^2+5x+6<0	$x^{2} + 5 x + 6 < 0$
21309	Simplify	6 square root of 128- square root of 32+8 square root of 162	$6 \sqrt{128} - \sqrt{32} + 8 \sqrt{162}$
21310	Simplify	5 cube root of 81+ cube root of 24	$5 \sqrt[3]{81} + \sqrt[3]{24}$
21311	Convert to Interval Notation	(1/3)^x-9<18	${(\frac{1}{3})}^{x} - 9 < 18$
21312	Combine	tan(x)sin(x)+cos(x)	$\tan (x) \sin (x) + \cos (x)$
21313	Combine	sin(3x)-sin(5x)	$\sin (3 x) - \sin (5 x)$
21314	Combine	sin(5)cos(25)+cos(5)sin(25)	$\sin (5) \cos (25) + \cos (5) \sin (25)$
21315	Simplify	square root of 12* square root of 30	$\sqrt{12} \cdot \sqrt{30}$
21316	Simplify	square root of 50-3 square root of 8+ square root of 32	$\sqrt{50} - 3 \sqrt{8} + \sqrt{32}$
21317	Simplify	2 square root of 2(-3 square root of 2)-2 square root of 21/2	$2 \sqrt{2} (- 3 \sqrt{2}) - 2 \sqrt{2} \frac{1}{2}$
21318	Simplify	1- square root of 3/36	$1 - \sqrt{\frac{3}{36}}$
21319	Simplify	1/4*( square root of 2+ square root of 6)	$\frac{1}{4} \cdot (\sqrt{2} + \sqrt{6})$
21320	Simplify	1-(( square root of 2)/2)	$1 - (\frac{\sqrt{2}}{2})$
21321	Simplify	5 square root of 12-9 square root of 48	$5 \sqrt{12} - 9 \sqrt{48}$
21322	Combine	sin(75)+sin(15)	$\sin (75) + \sin (15)$
21323	Combine	tan(30)*1000	$\tan (30) \cdot 1000$
21324	Solve for ?	theta=(7pi)/12	$θ = \frac{7 π}{12}$
21325	Find the Asymptotes	cot(x)	$\cot (x)$
21326	Convert to Interval Notation	x^2-y^2<9	$x^{2} - y^{2} < 9$
21327	Convert to Interval Notation	x^2-x+5<11	$x^{2} - x + 5 < 11$
21328	Convert to Interval Notation	\|-8x-16\|>8	$\| - 8 x - 16 \| > 8$
21329	Convert to Interval Notation	6/(3w-4)>w+1	$\frac{6}{3 w - 4} > w + 1$
21330	Convert to Interval Notation	pi/2<a<pi	$\frac{π}{2} < a < π$
21331	Convert to Interval Notation	(-5x+10)/(x-4)>0	$\frac{- 5 x + 10}{x - 4} > 0$
21332	Convert to Interval Notation	x/4+(3x)/8>10	$\frac{x}{4} + \frac{3 x}{8} > 10$
21333	Convert to Interval Notation	\|x-3\|>5	$\| x - 3 \| > 5$
21334	Convert to Interval Notation	tan(2theta)-cot(2theta)=0>theta>180	$\tan (2 θ) - \cot (2 θ) = 0 > θ > 180$
21335	Convert to Interval Notation	tan(x)=12/5*cos(x)<0	$\tan (x) = \frac{12}{5} \cdot \cos (x) < 0$
21336	Convert to Interval Notation	sin(x/3)<( square root of 3)/2	$\sin (\frac{x}{3}) < \frac{\sqrt{3}}{2}$
21337	Convert to Interval Notation	(x-4)(x-5)>0	$(x - 4) (x - 5) > 0$
21338	Convert to Interval Notation	\|-4x+5\|<13	$\| - 4 x + 5 \| < 13$
21339	Convert to Interval Notation	\|7x-15\|>18	$\| 7 x - 15 \| > 18$
21340	Convert to Interval Notation	\|x+5\|<4	$\| x + 5 \| < 4$
21341	Convert to Interval Notation	\|-2x+5\|>3	$\| - 2 x + 5 \| > 3$
21342	Convert to Interval Notation	(2sin(x)+1)/((cos(x))( square root of 3-2cos(x)))=0	$\frac{2 \sin (x) + 1}{(\cos (x)) (\sqrt{3} - 2 \cos (x))} = 0$
21343	Convert to Interval Notation	\|n/4\|>3	$\| \frac{n}{4} \| > 3$
21344	Convert to Interval Notation	pi<x<(3pi)/2	$π < x < \frac{3 π}{2}$
21345	Convert to Interval Notation	sin(x)=-1/2	$\sin (x) = - \frac{1}{2}$
21346	Convert to Interval Notation	sin(a)>o	$\sin (a) > o$
21347	Convert to Interval Notation	tan(3x-pi/2)>1	$\tan (3 x - \frac{π}{2}) > 1$
21348	Convert to Interval Notation	x(x+1)<12	$x (x + 1) < 12$
21349	Convert to Interval Notation	sin(x)>cos(x)	$\sin (x) > \cos (x)$
21350	Convert to Interval Notation	x-8>0	$x - 8 > 0$
21351	Convert to Interval Notation	3<2y^2+5y	$3 < 2 y^{2} + 5 y$
21352	Convert to Interval Notation	8x+5<5x+3	$8 x + 5 < 5 x + 3$
21353	Convert to Interval Notation	9x^2-42x>-49	$9 x^{2} - 42 x > - 49$
21354	Convert to Interval Notation	cos(x)=2/5*sin(x)<0	$\cos (x) = \frac{2}{5} \cdot \sin (x) < 0$
21355	Convert to Interval Notation	cos(x)>( square root of 2)/2	$\cos (x) > \frac{\sqrt{2}}{2}$
21356	Convert to Interval Notation	cot(x)=0	$\cot (x) = 0$
21357	Convert to Interval Notation	-3\|6-x\|<-15	$- 3 \| 6 - x \| < - 15$
21358	Convert to Interval Notation	0=sin(x)=-1/2=2pi	$0 = \sin (x) = - \frac{1}{2} = 2 π$
21359	Simplify	cot(theta)sin(theta)	$\cot (θ) \sin (θ)$
21360	Write in Exponential Form	log base 18 of x-2+ log base 18 of x+1=1	$\log_{18} (x - 2) + \log_{18} (x + 1) = 1$
21361	Solve for x	log of N=3^600	$\log (N) = 3^{600}$
21362	Write in Exponential Form	log base 2 of x-3=5	$\log_{2} (x - 3) = 5$
21363	Write in Exponential Form	log base 6 of natural log of e^x=45	$\log_{6} (\ln (e^{x})) = 45$
21364	Solve for x	log of 4y-5 = log of 2y-1	$\log (4 y - 5) = \log (2 y - 1)$
21365	Write in Exponential Form	1/2 = log base 49 of 7	$\frac{1}{2} = \log_{49} (7)$
21366	Expand the Logarithmic Expression	log of log of 10^100	$\log (\log (10^{100}))$
21367	Expand the Logarithmic Expression	tan(52 natural log of 45)	$\tan (52 \ln (45))$
21368	Expand the Logarithmic Expression	log of 6.11	$\log (6.11)$
21369	Write in Exponential Form	2\| natural log of x\|-6=0	$2 \| \ln (x) \| - 6 = 0$
21370	Graph	cos(arcsin(x))	$\cos (\arcsin (x))$
21371	Write in Exponential Form	4 = log base 7 of 2401	$4 = \log_{7} (2401)$
21372	Write in Exponential Form	68=8+38 natural log of x	$68 = 8 + 38 \ln (x)$
21373	Write in Exponential Form	2 log of x^2-2x+5=2	$2 \log (x^{2} - 2 x + 5) = 2$
21374	Write in Exponential Form	log base 8 of x=2	$\log_{8} (x) = 2$
21375	Expand the Logarithmic Expression	natural log of e^5x	$\ln (e^{5} x)$
21376	Expand the Logarithmic Expression	9 log base d of x	$9 \log_{d} (x)$
21377	Expand the Logarithmic Expression	natural log of 1/(e^7)	$\ln (\frac{1}{e^{7}})$
21378	Expand the Logarithmic Expression	natural log of 80	$\ln (80)$
21379	Expand the Logarithmic Expression	natural log of 96	$\ln (96)$
21380	Expand the Logarithmic Expression	natural log of 35	$\ln (35)$
21381	Expand the Logarithmic Expression	natural log of 38	$\ln (38)$
21382	Expand the Logarithmic Expression	natural log of 3.1	$\ln (3.1)$
21383	Expand the Logarithmic Expression	natural log of sixth root of e	$\ln (\sqrt[6]{e})$
21384	Expand the Logarithmic Expression	natural log of -1	$\ln (- 1)$
21385	Expand the Logarithmic Expression	natural log of 0.82043	$\ln (0.82043)$
21386	Expand the Logarithmic Expression	log of (a^3)/b	$\log (\frac{a^{3}}{b})$
21387	Expand the Logarithmic Expression	natural log of ay	$\ln (a y)$
21388	Expand the Logarithmic Expression	log of 3x	$\log (3) x$
21389	Expand the Logarithmic Expression	log of 2.8	$\log (2.8)$
21390	Expand the Logarithmic Expression	log of 243	$\log (243)$
21391	Expand the Logarithmic Expression	log of 250	$\log (250)$
21392	Expand the Logarithmic Expression	log of 381	$\log (381)$
21393	Expand the Logarithmic Expression	log of 32.5	$\log (32.5)$
21394	Expand the Logarithmic Expression	log of 312	$\log (312)$
21395	Expand the Logarithmic Expression	log of 3 square root of 27y	$\log (3 \sqrt{27 y})$
21396	Expand the Logarithmic Expression	log of 60	$\log (60)$
21397	Expand the Logarithmic Expression	log of 14	$\log (14)$
21398	Expand the Logarithmic Expression	log of 4xy	$\log (4 x y)$
21399	Expand the Logarithmic Expression	log of ab^2	$\log (a) b^{2}$
21400	Expand the Logarithmic Expression	log of y/(x^5)	$\log (\frac{y}{x^{5}})$