Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234401	Solve for x	log base 4 of 9x = log base 4 of x^2-36	$\log_{4} (9 x) = \log_{4} (x^{2} - 36)$
234402	Graph	k-3<-7 or k+5>=8	$k - 3 < - 7$ or $k + 5 \geq 8$
234403	Simplify	x/(2x-1)+(x+2)/x	$\frac{x}{2 x - 1} + \frac{x + 2}{x}$
234404	Find the Product	(6y^2+5y^4)^2	${(6 y^{2} + 5 y^{4})}^{2}$
234405	Graph	-2x-4>-20 or -2x-4<-28	$- 2 x - 4 > - 20$ or $- 2 x - 4 < - 28$
234406	Simplify	cube root of x2/3	$\sqrt[3]{x \frac{2}{3}}$
234407	Simplify the Radical Expression	(-64)(1/3)	$(- 64) (\frac{1}{3})$
234408	Simplify	square root of 72 square root of 32 square root of 8	$\sqrt{72} \sqrt{32} \sqrt{8}$
234409	Solve the Rational Equation for x	(x-6)^(5/2)=243	${(x - 6)}^{\frac{5}{2}} = 243$
234410	Find the Complex Conjugate	-5/6+1/6i	$- \frac{5}{6} + \frac{1}{6} i$
234411	Simplify	((x^2)/(x-3))/(x/((x-3)^2))	$\frac{(\frac{x^{2}}{(x - 3)})}{(\frac{x}{{(x - 3)}^{2}})}$
234412	Simplify the Radical Expression	- square root of 25+ square root of -24+ square root of 1+ square root of -54	$- \sqrt{25} + \sqrt{- 24} + \sqrt{1} + \sqrt{- 54}$
234413	Simplify	(x/(x+3))/3	$\frac{\frac{x}{x + 3}}{3}$
234414	Simplify	((3m^-5n^2)/(4m^-2n^0))*((mn^4)/(9n))^2	$(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}}) \cdot {(\frac{m n^{4}}{9 n})}^{2}$
234415	Evaluate	natural log of e^( natural log of e)	$\ln (e^{\ln (e)})$
234416	Solve the System of Equations	Solve the system of equations y=2x+3 and 2y-2x=8 using the Substitution Method.	Solve the system of equations $y = 2 x + 3$ and $2 y - 2 x = 8$ using the Substitution Method.
234417	Find the Excluded Values	(2y^2+2)/(y^3-5y^2+y-5)	$\frac{2 y^{2} + 2}{y^{3} - 5 y^{2} + y - 5}$
234418	Evaluate	55% of 80	$55 %$ of $80$
234419	Solve for m	(2m+1)^(1/4)-2=1	${(2 m + 1)}^{\frac{1}{4}} - 2 = 1$
234420	Solve for x	1/2(x+5/2)=15/4	$\frac{1}{2} (x + \frac{5}{2}) = \frac{15}{4}$
234421	Multiply	2/51/37/8	$\frac{2}{5} \cdot \frac{1}{3} \cdot \frac{7}{8}$
234422	Simplify the Radical Expression	square root of 5(6+ square root of 2)	$\sqrt{5} (6 + \sqrt{2})$
234423	Convert to Interval Notation	x<-2 and x<2	$x < - 2$ and $x < 2$
234424	Simplify the Radical Expression	5/( square root of 8)	$\frac{5}{\sqrt{8}}$
234425	Simplify the Radical Expression	(-8 square root of 6)(2 square root of -42)	$(- 8 \sqrt{6}) (2 \sqrt{- 42})$
234426	Find the Roots (Zeros)	y=(x-1)^2(2x-3)^3	$y = {(x - 1)}^{2} {(2 x - 3)}^{3}$
234427	Solve by Factoring	x^6-9x^4-x^2+9=0	$x^{6} - 9 x^{4} - x^{2} + 9 = 0$
234428	Graph	R={y\|y>=0}	$R = {y \| y \geq 0}$
234429	Evaluate	2x-3y<6	$2 x - 3 y < 6$
234430	Simplify	((2a^3b^2c)^-3)/((3a^2b^3c)^2)	$\frac{{(2 a^{3} b^{2} c)}^{- 3}}{{(3 a^{2} b^{3} c)}^{2}}$
234431	Find the Domain of the Composition f(g(h(x)))	f(x)=x^3-x^2+10 g(x)=3x^2+2x-10 h(x)=2x^3+2x^2-3x	$f (x) = x^{3} - x^{2} + 10$ $g (x) = 3 x^{2} + 2 x - 10$ $h (x) = 2 x^{3} + 2 x^{2} - 3 x$
234432	Solve for x	(x^2+x-12)/(x-5)=(2x+3)/(x+4)	$\frac{x^{2} + x - 12}{x - 5} = \frac{2 x + 3}{x + 4}$
234433	Find the Domain and Range	f(x)=2(2/3)^(x-3)-4	$f (x) = 2 {(\frac{2}{3})}^{x - 3} - 4$
234434	Evaluate	log base 8 of cube root of 1/64	$\log_{8} (\sqrt[3]{\frac{1}{64}})$
234435	Solve for x	2=3x^2-x-2	$2 = 3 x^{2} - x - 2$
234436	Evaluate	2*3^(2-1)	$2 \cdot 3^{2 - 1}$
234437	Simplify	(10x^4-4x^3-7x^2+5x+9)-(2x^4-5x^3-4x^2+9x+3)	$(10 x^{4} - 4 x^{3} - 7 x^{2} + 5 x + 9) - (2 x^{4} - 5 x^{3} - 4 x^{2} + 9 x + 3)$
234438	Evaluate	(18-(-4))/2+(-6)(3)	$\frac{18 - (- 4)}{2} + (- 6) (3)$
234439	Graph	x>-y	$x > - y$
234440	Solve for x	(10x)/(2-5)=3	$\frac{10 x}{2 - 5} = 3$
234441	Simplify	((3xy^2)/(x^3y))^-2	${(\frac{3 x y^{2}}{x^{3} y})}^{- 2}$
234442	Find the Domain and Range	y=sec(x-pi/2)	$y = \sec (x - \frac{π}{2})$
234443	Find the Inverse	y=4 square root of x+3	$y = 4 \sqrt{x + 3}$
234444	Simplify the Radical Expression	4 square root of 2*5 square root of 8	$4 \sqrt{2} \cdot 5 \sqrt{8}$
234445	Factor	b^2-c^2-10(b-c)	$b^{2} - c^{2} - 10 (b - c)$
234446	Solve for C	F=5/9C+32 for C	$F = \frac{5}{9} C + 32$ for $C$
234447	Simplify the Radical Expression	((w^7)/(w^4))^(5/12)	${(\frac{w^{7}}{w^{4}})}^{\frac{5}{12}}$
234448	Evaluate Using the Given Value	(dt)/(dx) if t=x/(8x-4)	$\frac{d t}{d x}$ if $t = \frac{x}{8 x - 4}$
234449	Multiply	( square root of 2+ square root of 3)*( square root of 3- square root of 2)	$(\sqrt{2} + \sqrt{3}) \cdot (\sqrt{3} - \sqrt{2})$
234450	Simplify	(6-3)^3-(4-1)^3	${(6 - 3)}^{3} - {(4 - 1)}^{3}$
234451	Solve for x	2(x-1)^2-2x^2=4	$2 {(x - 1)}^{2} - 2 x^{2} = 4$
234452	Graph	y<=x 5 y<=2x+3	$y \leq x$ $5$ $y \leq 2 x + 3$
234453	Simplify	square root of 3- square root of 3+ square root of 3	$\sqrt{3} - \sqrt{3} + \sqrt{3}$
234454	Solve the Inequality for b	3(b+2)-7>=2b-5+b	$3 (b + 2) - 7 \geq 2 b - 5 + b$
234455	Solve the Inequality for x	3(x-2)>=3x-10	$3 (x - 2) \geq 3 x - 10$
234456	Divide Using Long Polynomial Division	(2x^3-5x^2+x)/x	$\frac{2 x^{3} - 5 x^{2} + x}{x}$
234457	Multiply	7/186/175/16	$\frac{7}{18} \cdot \frac{6}{17} \cdot \frac{5}{16}$
234458	Solve for n	165=6n^3+9	$165 = 6 n^{3} + 9$
234459	Write in Slope-Intercept Form	(5,0) and (-3,6)	$(5, 0)$ and $(- 3, 6)$
234460	Solve the Inequality for a	6a+4b>=10	$6 a + 4 b \geq 10$
234461	Evaluate	natural log of 5x+7=8	$\ln (5 x + 7) = 8$
234462	Simplify	5x^2+8x+6+x^2+3x+1	$5 x^{2} + 8 x + 6 + x^{2} + 3 x + 1$
234463	Solve for x	12-3(3+x)=12-8x	$12 - 3 (3 + x) = 12 - 8 x$
234464	Evaluate the Function	f(x)=2x+2 for x=4	$f (x) = 2 x + 2$ for $x = 4$
234465	Find the Focus	x^2=12(y+5/2)^2	$x^{2} = 12 {(y + \frac{5}{2})}^{2}$
234466	Simplify the Radical Expression	2z square root of 100x^7z^4	$2 z \sqrt{100 x^{7} z^{4}}$
234467	Solve for x	y = square root of (x-48)/6	$y = \sqrt{\frac{x - 48}{6}}$
234468	Simplify	14/3-4/6	$\frac{14}{3} - \frac{4}{6}$
234469	Simplify	1/6xy(6xy)^3	$\frac{1}{6} x y {(6 x y)}^{3}$
234470	Solve the Inequality for θ	30 degrees <theta<90 degrees	$30 ° < θ < 90 °$
234471	Divide Using Long Polynomial Division	(2x^3-5x^2+14)÷(x^2-x-2)	$(2 x^{3} - 5 x^{2} + 14) \div (x^{2} - x - 2)$
234472	Evaluate	log base 8 of square root of 2-2 log of 10+8	$\log_{8} (\sqrt{2}) - 2 \log (10) + 8$
234473	Solve the System of Equations	y=-1 y=3/4x-4	$y = - 1$ $y = \frac{3}{4} x - 4$
234474	Solve the Inequality for x	((x-5)^2(x+3))/(x-6)>=0	$\frac{{(x - 5)}^{2} (x + 3)}{x - 6} \geq 0$
234475	Simplify	simplify (3s^8)^-5	simplify ${(3 s^{8})}^{- 5}$
234476	Solve for p	32>=-16p	$32 \geq - 16 p$
234477	Simplify	(a^2-ab)+(a^2+2ab)+(a-2a^2)	$(a^{2} - a b) + (a^{2} + 2 a b) + (a - 2 a^{2})$
234478	Solve for y	(y+1)/(y-5)+10/(y+5)=(y+1)/(y-5)*10/(y+5)	$\frac{y + 1}{y - 5} + \frac{10}{y + 5} = \frac{y + 1}{y - 5} \cdot \frac{10}{y + 5}$
234479	Simplify	(x^(7/4)y^(3/7))/(y^(-2/7)x^(1/2))	$\frac{x^{\frac{7}{4}} \cdot y^{\frac{3}{7}}}{y^{- \frac{2}{7}} \cdot x^{\frac{1}{2}}}$
234480	Simplify	(9/6t-4)*2	$(\frac{9}{6} t - 4) \cdot 2$
234481	Solve for x	(2x+1)/3-(x-1)/2=5/6	$\frac{2 x + 1}{3} - \frac{x - 1}{2} = \frac{5}{6}$
234482	Find the Domain and Range	y=(12x-5)/(3x-1)	$y = \frac{12 x - 5}{3 x - 1}$
234483	Solve for M	M=(((x+y)^2-(x-y)^2)/(xy))^(1/2)	$M = {(\frac{{(x + y)}^{2} - {(x - y)}^{2}}{x y})}^{\frac{1}{2}}$
234484	Find the Exact Value	(2(3+5)+6)4	$(2 \times (3 + 5) + 6) \times 4$
234485	Graph	y=3x-2 y-2=x	$y = 3 x - 2$ $y - 2 = x$
234486	Solve the System of Inequalities	y>-3 y>=5x	$y > - 3$ $y \geq 5 x$
234487	Solve for x	2 square root of x=3	$2 \sqrt{x} = 3$
234488	Solve for x	(x-10)/(x^2+8x+12)=3/(x+2)+4/(x+6)	$\frac{x - 10}{x^{2} + 8 x + 12} = \frac{3}{x + 2} + \frac{4}{x + 6}$
234489	Graph	y>x^2+3x-4 y<-x^2-x+2	$y > x^{2} + 3 x - 4$ $y < - x^{2} - x + 2$
234490	Solve the Rational Equation for x	square root of 2x=4	$\sqrt{2 x} = 4$
234491	Simplify	(x^-2)/( square root of x^-2)	$\frac{x^{- 2}}{\sqrt{x^{- 2}}}$
234492	Simplify	((a-b)/(7a+7b))÷((a^2-b^2)/(a^2+4a+4))	$\frac{a - b}{7 a + 7 b} \div \frac{a^{2} - b^{2}}{a^{2} + 4 a + 4}$
234493	Find the Determinant	A=[[1,2,-2],[2,1,-4],[3,0,-6]]	$A = [\begin{array}{c} 1 & 2 & - 2 \\ 2 & 1 & - 4 \\ 3 & 0 & - 6 \end{array}]$
234494	Find the Inverse	y=(2-x)/3	$y = \frac{2 - x}{3}$
234495	Divide	(x^3+1)÷(x^2-x+1)	$(x^{3} + 1) \div (x^{2} - x + 1)$
234496	Simplify the Radical Expression	( square root of w^11)/( cube root of w^8)	$\frac{\sqrt{w^{11}}}{\sqrt[3]{w^{8}}}$
234497	Solve for x	2/((4x-3)^(1/2))=1	$\frac{2}{{(4 x - 3)}^{\frac{1}{2}}} = 1$
234498	Solve for x	log base 2 of 4^(3x-1)=25^( log base 5 of 2)	$\log_{2} (4^{3 x - 1}) = 25^{\log_{5} (2)}$
234499	Simplify	fourth root of (243x^3)/(3x^7)	$\sqrt[4]{\frac{243 x^{3}}{3 x^{7}}}$
234500	Graph	y=0 , 5x+1	$y = 0$ , $5 x + 1$