Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
119601	Convert to Logarithmic Form	2e^x=14	$2 e^{x} = 14$
119602	Convert to Logarithmic Form	e^(7x)=3	$e^{7 x} = 3$
119603	Convert to Logarithmic Form	e^(x+3)=60	$e^{x + 3} = 60$
119604	Convert to Logarithmic Form	32=x^5	$32 = x^{5}$
119605	Convert to Logarithmic Form	fifth root of -3125=-5	$\sqrt[5]{- 3125} = - 5$
119606	Convert to Logarithmic Form	e^4=m	$e^{4} = m$
119607	Convert to Logarithmic Form	27^(4/3)=81	$27^{\frac{4}{3}} = 81$
119608	Convert to Logarithmic Form	e^1.099=3	$e^{1.099} = 3$
119609	Convert to Logarithmic Form	e^15=x	$e^{15} = x$
119610	Convert to Logarithmic Form	1/3e^(3t)=1/2	$\frac{1}{3} e^{3 t} = \frac{1}{2}$
119611	Convert to Logarithmic Form	A=9^b	$A = 9^{b}$
119612	Convert to Logarithmic Form	9^(4x)=3.9	$9^{4 x} = 3.9$
119613	Find the Vertex Form	y=2x^2+12x+1	$y = 2 x^{2} + 12 x + 1$
119614	Find the Vertex Form	y=x^2+10x+15	$y = x^{2} + 10 x + 15$
119615	Find the Vertex Form	y=8x^2-16x+27	$y = 8 x^{2} - 16 x + 27$
119616	Find the Vertex Form	y=-6x^2-24x-25	$y = - 6 x^{2} - 24 x - 25$
119617	Convert to Logarithmic Form	8^-3=1/512	$8^{- 3} = \frac{1}{512}$
119618	Find the Maximum/Minimum Value	y=-3(x+1)^2+4	$y = - 3 {(x + 1)}^{2} + 4$
119619	Find the Maximum/Minimum Value	y=3x^2+12x-4	$y = 3 x^{2} + 12 x - 4$
119620	Find the Degree	7x-4x^5+3x^4-6x^2	$7 x - 4 x^{5} + 3 x^{4} - 6 x^{2}$
119621	Find the Degree	7n^3	$7 n^{3}$
119622	Divide Using Long Polynomial Division	(4p^4-17p^2+14p-3)/(2p-3)	$\frac{4 p^{4} - 17 p^{2} + 14 p - 3}{2 p - 3}$
119623	Divide Using Long Polynomial Division	(x^2+x+12)÷(x-5)	$(x^{2} + x + 12) \div (x - 5)$
119624	Divide Using Long Polynomial Division	(5x+11)÷(x+3)	$(5 x + 11) \div (x + 3)$
119625	Divide Using Long Polynomial Division	(12x^4+9x^3+7x^2)/(3x^2+1)	$\frac{12 x^{4} + 9 x^{3} + 7 x^{2}}{3 x^{2} + 1}$
119626	Divide Using Long Polynomial Division	(3x+2x^3-9-8x^2)/(x^2+1)	$\frac{(3 x + 2 x^{3} - 9 - 8 x^{2})}{x^{2} + 1}$
119627	Write as a Function of x	5x^2+4x+5y=-6y	$5 x^{2} + 4 x + 5 y = - 6 y$
119628	Write as a Function of w	P=21+2w	$P = 21 + 2 w$
119629	Write as a Function of n	y_n=-5n-5	$y_{n} = - 5 n - 5$
119630	Write as a Function of y	5x^2+4x+5y=-6y	$5 x^{2} + 4 x + 5 y = - 6 y$
119631	Evaluate Using Scientific Notation	(310^9)(2*10^17)	$(3 \cdot 10^{9}) \cdot (2 \cdot 10^{17})$
119632	Determine the Nature of the Roots Using the Discriminant	5x^2=8x+7	$5 x^{2} = 8 x + 7$
119633	Expand Using the Binomial Theorem	(a+b)^11	${(a + b)}^{11}$
119634	Expand Using the Binomial Theorem	(x-9)^5	${(x - 9)}^{5}$
119635	Find the Slope and y-intercept	f(x)=3/4x-3	$f (x) = \frac{3}{4} x - 3$
119636	Find the Slope and y-intercept	f(x)=3/8x	$f (x) = \frac{3}{8} x$
119637	Expand Using the Binomial Theorem	(2a+3b)^5	${(2 a + 3 b)}^{5}$
119638	Find the Vertex	-2x^2+20x-46	$- 2 x^{2} + 20 x - 46$
119639	Find the Vertex	-3(x-4)(x+2)	$- 3 (x - 4) (x + 2)$
119640	Solve by Graphing	x^3-4x^2-17x=-60	$x^{3} - 4 x^{2} - 17 x = - 60$
119641	Write the Fraction in Simplest Form	fourth root of 10/27	$\sqrt[4]{\frac{10}{27}}$
119642	Write the Fraction in Simplest Form	cube root of 7/4	$\sqrt[3]{\frac{7}{4}}$
119643	Convert to a Mixed Number	7.04	$7.04$
119644	Identify the Zeros and Their Multiplicities	x^3-20x^2+100x	$x^{3} - 20 x^{2} + 100 x$
119645	Identify the Zeros and Their Multiplicities	x^4-27x^2+50	$x^{4} - 27 x^{2} + 50$
119646	Identify the Zeros and Their Multiplicities	x^3-32x^2+256x	$x^{3} - 32 x^{2} + 256 x$
119647	Find the Vertex	y=4x^2+8x+11	$y = 4 x^{2} + 8 x + 11$
119648	Find the Vertex	y=4x^2-16x+10	$y = 4 x^{2} - 16 x + 10$
119649	Find the Vertex	y=x(x-7)	$y = x (x - 7)$
119650	Find the Vertex	y=x(x-9)	$y = x (x - 9)$
119651	Find the Vertex	y=2x^2+6x+4	$y = 2 x^{2} + 6 x + 4$
119652	Find the Vertex	y=2(x-1)^2-3	$y = 2 {(x - 1)}^{2} - 3$
119653	Find the Vertex	y=2(x+5)^2+3	$y = 2 {(x + 5)}^{2} + 3$
119654	Find the Vertex	y=-\|x-3\|-2	$y = - \| x - 3 \| - 2$
119655	Find the Vertex	x^2+6x-8y+1=0	$x^{2} + 6 x - 8 y + 1 = 0$
119656	Find the Vertex	y+2x^2-4x-6=0	$y + 2 x^{2} - 4 x - 6 = 0$
119657	Find the Vertex	y=5x^2+20x+9	$y = 5 x^{2} + 20 x + 9$
119658	Find the Vertex	y=-2x^2-6	$y = - 2 x^{2} - 6$
119659	Find the Vertex	y=12x-2x^2	$y = 12 x - 2 x^{2}$
119660	Find the Degree, Leading Term, and Leading Coefficient	4+g^2-2g	$4 + g^{2} - 2 g$
119661	Solve by Addition/Elimination	7x+2y=24 8x+2y=30	$7 x + 2 y = 24$ $8 x + 2 y = 30$
119662	Find the Mean	0.6 , 0.7 , 0.9 , 0.8 , 0.8 , 1.3 , 0.6 , 1.1 , 1.5	$0.6$ , $0.7$ , $0.9$ , $0.8$ , $0.8$ , $1.3$ , $0.6$ , $1.1$ , $1.5$
119663	Find the Slope and y-intercept	y=-8x-4	$y = - 8 x - 4$
119664	Find the Slope and y-intercept	y=5/2-5x	$y = \frac{5}{2} - 5 x$
119665	Find the Slope and y-intercept	y=5/6x-5	$y = \frac{5}{6} x - 5$
119666	Find the Slope and y-intercept	y=-5/4x+4	$y = - \frac{5}{4} x + 4$
119667	Find the Slope and y-intercept	9x-y=5	$9 x - y = 5$
119668	Find the Slope and y-intercept	7x-2y=2	$7 x - 2 y = 2$
119669	Find the Slope and y-intercept	6y-5x=0	$6 y - 5 x = 0$
119670	Find the Slope and y-intercept	7x+6y=12	$7 x + 6 y = 12$
119671	Find the Slope and y-intercept	-4x-2y=-3	$- 4 x - 2 y = - 3$
119672	Find the Slope and y-intercept	-5x+5y=5	$- 5 x + 5 y = 5$
119673	Find the Slope and y-intercept	5x+3y=2	$5 x + 3 y = 2$
119674	Find the Slope and y-intercept	2y=-5x	$2 y = - 5 x$
119675	Find the Slope and y-intercept	-2x-8y=16	$- 2 x - 8 y = 16$
119676	Find the Slope and y-intercept	-2x+12y=36	$- 2 x + 12 y = 36$
119677	Find the Slope and y-intercept	12x-4y-8=0	$12 x - 4 y - 8 = 0$
119678	Find the Slope and y-intercept	2x+6y=5	$2 x + 6 y = 5$
119679	Find the Equation Given the Roots	6 , -6 , 6i , -6i	$6$ , $- 6$ , $6 i$ , $- 6 i$
119680	Find the Slope and y-intercept	y=-7/8x	$y = - \frac{7}{8} x$
119681	Find the Slope and y-intercept	5x+6y=18	$5 x + 6 y = 18$
119682	Find the Slope and y-intercept	14x+7y=35	$14 x + 7 y = 35$
119683	Find the End Behavior	P(x)=x(x^2-9)	$P (x) = x (x^{2} - 9)$
119684	Find the LCM	20 , 50	$20$ , $50$
119685	Find the LCM	3x^2 , 6x-18	$3 x^{2}$ , $6 x - 18$
119686	Find the End Behavior	p(x)=x(x^2-9)	$p (x) = x (x^{2} - 9)$
119687	Find dx/dy	xsin(y)+ysin(x)=6	$x \sin (y) + y \sin (x) = 6$
119688	Find dx/dy	2x^2-y^2=3	$2 x^{2} - y^{2} = 3$
119689	Find the Inverse	7x-8	$7 x - 8$
119690	Find the Inverse	1/2x^2-5	$\frac{1}{2} x^{2} - 5$
119691	Find the Inverse	(3x-4)/5	$\frac{3 x - 4}{5}$
119692	Find the Distance Between Two Points	(1,-2) , (-9,3)	$(1, - 2) (- 9, 3)$
119693	Find the Distance Between Two Points	(3 square root of 2, square root of 5) , (- square root of 2,4 square root of 5)	$(3 \sqrt{2}, \sqrt{5}) (- \sqrt{2}, 4 \sqrt{5})$
119694	Find the Distance Between Two Points	(-6,8) , (-3,9)	$(- 6, 8) (- 3, 9)$
119695	Rationalize the Denominator	( square root of 10)/( square root of 13+ square root of 10)	$\frac{\sqrt{10}}{\sqrt{13} + \sqrt{10}}$
119696	Rationalize the Denominator	1/(5- square root of 2)	$\frac{1}{5 - \sqrt{2}}$
119697	Rationalize the Denominator	(7a)/( fifth root of 4a^8b^12)	$\frac{7 a}{\sqrt[5]{4 a^{8} b^{12}}}$
119698	Rationalize the Denominator	2/( fourth root of a^3)	$\frac{2}{\sqrt[4]{a^{3}}}$
119699	Rationalize the Denominator	(3 square root of 3)/(4 square root of 6)	$\frac{3 \sqrt{3}}{4 \sqrt{6}}$
119700	Rationalize the Denominator	(3+ square root of 18)/(1+ square root of 8)	$\frac{3 + \sqrt{18}}{1 + \sqrt{8}}$