Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10601	Find the Inverse	f(x) = cube root of x-5	$f (x) = \sqrt[3]{x - 5}$
10602	Find the Inverse	f(x) = square root of x-4	$f (x) = \sqrt{x - 4}$
10603	Evaluate	log base 8 of 25	$\log_{8} (25)$
10604	Write as a Single Logarithm	3 natural log of 6+4 natural log of x	$3 \ln (6) + 4 \ln (x)$
10605	Find the Slope	y=5/4x-7/4	$y = \frac{5}{4} x - \frac{7}{4}$
10606	Find the Axis of Symmetry	y=x^2-5x+12	$y = x^{2} - 5 x + 12$
10607	Write in Standard Form	(x^2)/2=7x	$\frac{x^{2}}{2} = 7 x$
10608	Solve by Substitution	x+y=4 , x-y=2	$x + y = 4$ , $x - y = 2$
10609	Write in Standard Form	y=1/8x+7	$y = \frac{1}{8} x + 7$
10610	Write in Standard Form	y=3/5x+4	$y = \frac{3}{5} x + 4$
10611	Expand the Logarithmic Expression	natural log of 12 root of x	$\ln (\sqrt[12]{x})$
10612	Find the Vertex Form	y=x^2-12x+7	$y = x^{2} - 12 x + 7$
10613	Expand the Logarithmic Expression	natural log of 13 root of x	$\ln (\sqrt[13]{x})$
10614	Convert to Logarithmic Form	10^1=10	$10^{1} = 10$
10615	Convert to Logarithmic Form	1/27=3^-3	$\frac{1}{27} = 3^{- 3}$
10616	Find the Vertex	f(x)=-3\|x-1\|+12	$f (x) = - 3 \| x - 1 \| + 12$
10617	Convert to Logarithmic Form	1/8=2^-3	$\frac{1}{8} = 2^{- 3}$
10618	Find the Maximum/Minimum Value	P(c)=-12c^2+120c	$P (c) = - 12 c^{2} + 120 c$
10619	Convert to Logarithmic Form	8^-2=1/64	$8^{- 2} = \frac{1}{64}$
10620	Complete the Square	x^2-28x	$x^{2} - 28 x$
10621	Convert to Logarithmic Form	9^(1/2)=3	$9^{\frac{1}{2}} = 3$
10622	Subtract	(4x+1)/(x-5)-(3x-4)/(x-5)	$\frac{4 x + 1}{x - 5} - \frac{3 x - 4}{x - 5}$
10623	Evaluate	natural log of (e)^5	$\ln ({(e)}^{5})$
10624	Evaluate	log base 6 of 13	$\log_{6} (13)$
10625	Evaluate	log base 4 of square root of 2	$\log_{4} (\sqrt{2})$
10626	Evaluate	log base 125 of 25	$\log_{125} (25)$
10627	Write as a Function of y	((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2	$\frac{(5 - 3 i) (x + i y)}{(4 - 5 i)} = {(2 + i)}^{2} - {(3 - 4 i)}^{2}$
10628	Evaluate	log of 11	$\log (11)$
10629	Write as a Function of x	((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2	$\frac{(5 - 3 i) (x + i y)}{(4 - 5 i)} = {(2 + i)}^{2} - {(3 - 4 i)}^{2}$
10630	Write as a Function of r	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
10631	Write as a Function of V	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
10632	Multiply	(7x^2+9x+7)(9x-4)	$(7 x^{2} + 9 x + 7) (9 x - 4)$
10633	Find the Quadrant	(-2,3)	$(- 2, 3)$
10634	Multiply	(5a^3)/(ab)*(2ab)/35	$\frac{5 a^{3}}{a b} \cdot \frac{2 a b}{35}$
10635	Multiply	(b+3)(b^2+2b+1)	$(b + 3) (b^{2} + 2 b + 1)$
10636	Expand the Logarithmic Expression	log base 5 of square root of 5	$\log_{5} (\sqrt{5})$
10637	Multiply	(x-6)(4x+3)	$(x - 6) (4 x + 3)$
10638	Expand the Logarithmic Expression	log base 2 of 2x	$\log_{2} (2 x)$
10639	Multiply	(-5g^5)(6g^6)	$(- 5 g^{5}) (6 g^{6})$
10640	Simplify/Condense	2 log base 4 of 9- log base 2 of 3	$2 \log_{4} (9) - \log_{2} (3)$
10641	Multiply	(a-6)(a^2+6a+36)	$(a - 6) (a^{2} + 6 a + 36)$
10642	Convert to a Decimal	6.75%	$6.75 %$
10643	Convert to a Decimal	28.5%	$28.5 %$
10644	Convert to a Simplified Fraction	0.325	$0.325$
10645	Solve Using the Quadratic Formula	3x=9x^2-10	$3 x = 9 x^{2} - 10$
10646	Solve Using the Quadratic Formula	3x^2+3x=2	$3 x^{2} + 3 x = 2$
10647	Find the Slope and y-intercept	-12x-3y=3	$- 12 x - 3 y = 3$
10648	Find the Inverse	f(x)=25x^2+70x+49	$f (x) = 25 x^{2} + 70 x + 49$
10649	Evaluate	(1/4)/2	$\frac{\frac{1}{4}}{2}$
10650	Find the Inverse	A(n)=3n-15	$A (n) = 3 n - 15$
10651	Find the Inverse	f(x)=x^3-12	$f (x) = x^{3} - 12$
10652	Solve by Completing the Square	2x^2+24x-6=0	$2 x^{2} + 24 x - 6 = 0$
10653	Solve by Completing the Square	x^2+8x-2=18	$x^{2} + 8 x - 2 = 18$
10654	Evaluate	1/2*10	$\frac{1}{2} \cdot 10$
10655	Find the x and y Intercepts	2x+6y=-6	$2 x + 6 y = - 6$
10656	Evaluate	(64/27)^(-2/3)	${(\frac{64}{27})}^{- \frac{2}{3}}$
10657	Add	(4-10i)+(7-3i)	$(4 - 10 i) + (7 - 3 i)$
10658	Evaluate	30/2	$\frac{30}{2}$
10659	Add	(6x+7+x^2)+(2x^2-3)	$(6 x + 7 + x^{2}) + (2 x^{2} - 3)$
10660	Add	(3-9i)+(6-2i)	$(3 - 9 i) + (6 - 2 i)$
10661	Find the Roots (Zeros)	f(x)=x^4+2x^3-x-2	$f (x) = x^{4} + 2 x^{3} - x - 2$
10662	Evaluate	169^(-1/2)	$169^{- \frac{1}{2}}$
10663	Find the Roots (Zeros)	f(x)=3x^2-3x+5	$f (x) = 3 x^{2} - 3 x + 5$
10664	Evaluate	13/12	$\frac{13}{12}$
10665	Find the LCD	1/(x^2)-4/(3x^2+15x)	$\frac{1}{x^{2}} - \frac{4}{3 x^{2} + 15 x}$
10666	Evaluate	3/5-1/3	$\frac{3}{5} - \frac{1}{3}$
10667	Evaluate	-3/2	$\frac{- 3}{2}$
10668	Convert to Interval Notation	x^2<=4x+1	$x^{2} \leq 4 x + 1$
10669	Simplify/Condense	natural log of e^4.5	$\ln (e^{4.5})$
10670	Evaluate	13*2	$13 \cdot 2$
10671	Write in Standard Form	2x^2(9x^2-16)	$2 x^{2} (9 x^{2} - 16)$
10672	Write in Standard Form	(6c+5d)(6c-5d)	$(6 c + 5 d) (6 c - 5 d)$
10673	Evaluate	0!	$0!$
10674	Write in Standard Form	6-2x^3-3x+6x^3	$6 - 2 x^{3} - 3 x + 6 x^{3}$
10675	Evaluate	42/3	$\frac{42}{3}$
10676	Combine	4z-(-3z)	$4 z - (- 3 z)$
10677	Evaluate	6/16	$\frac{6}{16}$
10678	Convert to Regular Notation	6.2*10^-5	$6.2 \cdot 10^{- 5}$
10679	Find the Asymptotes	f(x)=(x-3)/(x^2-2x-3)	$f (x) = \frac{x - 3}{x^{2} - 2 x - 3}$
10680	Subtract	(6x)/(x-2)-5/x	$\frac{6 x}{x - 2} - \frac{5}{x}$
10681	Subtract	9/(20m^4+100m^3)-(2m^2)/(3m^2+16m+5)	$\frac{9}{20 m^{4} + 100 m^{3}} - \frac{2 m^{2}}{3 m^{2} + 16 m + 5}$
10682	Evaluate	81^(-5/4)	$81^{- \frac{5}{4}}$
10683	Subtract	x/(3x^2-11x-42)-(9x)/(5x^2-22x-48)	$\frac{x}{3 x^{2} - 11 x - 42} - \frac{9 x}{5 x^{2} - 22 x - 48}$
10684	Evaluate	9^(-3/2)	$9^{\frac{- 3}{2}}$
10685	Find Where Undefined/Discontinuous	(m+5)/(mn+3m)	$\frac{m + 5}{m n + 3 m}$
10686	Evaluate	e^1.7	$e^{1.7}$
10687	Find the Slope	(-1,-7) , (3,9)	$(- 1, - 7) (3, 9)$
10688	Write as a Single Logarithm	log base a of 13+ log base a of 60	$\log_{a} (13) + \log_{a} (60)$
10689	Convert to Logarithmic Form	15^2=225	$15^{2} = 225$
10690	Write in Standard Form	5x^2-20x=15	$5 x^{2} - 20 x = 15$
10691	Divide Using Synthetic Division	(x^3-4x^2+6x-4)÷(x-2)	$(x^{3} - 4 x^{2} + 6 x - 4) \div (x - 2)$
10692	Find the Maximum/Minimum Value	y=-2+5sin(pi/12(x-2))	$y = - 2 + 5 \sin (\frac{π}{12} (x - 2))$
10693	Find the Remainder	(x^5+32)÷(x+2)	$(x^{5} + 32) \div (x + 2)$
10694	Convert to a Simplified Fraction	40%	$40 %$
10695	Find the Roots (Zeros)	3x^3+28x^2+65x=0	$3 x^{3} + 28 x^{2} + 65 x = 0$
10696	Reduce the Fraction	1/6	$\frac{1}{6}$
10697	Convert to a Decimal	8.75%	$8.75 %$
10698	Reduce the Fraction	5/8	$\frac{5}{8}$
10699	Find All Complex Solutions	x^4=1	$x^{4} = 1$
10700	Find the Prime Factorization	110	$110$