Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
53001	Expand the Logarithmic Expression	log base 5 of xy	$\log_{5} (x y)$
53002	Find the Axis of Symmetry	(x-2)^2+6	${(x - 2)}^{2} + 6$
53003	Expand the Logarithmic Expression	log base 6 of 40	$\log_{6} (40)$
53004	Find the Axis of Symmetry	f(x)=x^2+14x+52	$f (x) = x^{2} + 14 x + 52$
53005	Expand the Logarithmic Expression	log base 8 of xy	$\log_{8} (x y)$
53006	Find the Axis of Symmetry	f(x)=3x^2+12x+7	$f (x) = 3 x^{2} + 12 x + 7$
53007	Expand the Logarithmic Expression	log base 7 of 42	$\log_{7} (42)$
53008	Find the Axis of Symmetry	f(x)=(x+3)^2-10	$f (x) = {(x + 3)}^{2} - 10$
53009	Simplify/Condense	5 log of 2-2 log of 2	$5 \log (2) - 2 \log (2)$
53010	Find the Axis of Symmetry	-5x^2-10x-15	$- 5 x^{2} - 10 x - 15$
53011	Simplify/Condense	1/3* log of 3x+2/3* log of 3x	$\frac{1}{3} \cdot \log (3 x) + \frac{2}{3} \cdot \log (3 x)$
53012	Find the Axis of Symmetry	f(x)=4x^2-5x+1	$f (x) = 4 x^{2} - 5 x + 1$
53013	Simplify/Condense	4 log of m- log of n	$4 \log (m) - \log (n)$
53014	Find the Axis of Symmetry	8x-x^2-12	$8 x - x^{2} - 12$
53015	Simplify/Condense	5 log base b of m- log base b of n	$5 \log_{b} (m) - \log_{b} (n)$
53016	Find the Axis of Symmetry	f(x)=-2(x-4)^2+8	$f (x) = - 2 {(x - 4)}^{2} + 8$
53017	Simplify/Condense	log base 2 of 1/32	$\log_{2} (\frac{1}{32})$
53018	Find the Axis of Symmetry	f(x)=-3x^2+7x-4	$f (x) = - 3 x^{2} + 7 x - 4$
53019	Simplify/Condense	log base 2 of 4+ log base 2 of 2- log base 2 of 8	$\log_{2} (4) + \log_{2} (2) - \log_{2} (8)$
53020	Simplify/Condense	log base 3 of 4x+2 log base 3 of 5y	$\log_{3} (4 x) + 2 \log_{3} (5 y)$
53021	Simplify/Condense	log base 3 of 9+ log base 3 of 27	$\log_{3} (9) + \log_{3} (27)$
53022	Simplify/Condense	log base 9 of 3+ log base 9 of 27	$\log_{9} (3) + \log_{9} (27)$
53023	Simplify/Condense	log base a of 13+ log base a of 60	$\log_{a} (13) + \log_{a} (60)$
53024	Find the Axis of Symmetry	P(x)=(x-9)^2	$P (x) = {(x - 9)}^{2}$
53025	Simplify/Condense	log base 6 of 9+ log base 6 of 4	$\log_{6} (9) + \log_{6} (4)$
53026	Simplify/Condense	log base 7 of 50- log base 7 of 5	$\log_{7} (50) - \log_{7} (5)$
53027	Find the Axis of Symmetry	f(x)=-x^2+8x-18	$f (x) = - x^{2} + 8 x - 18$
53028	Simplify/Condense	log base 6 of 1/( square root of 6)	$\log_{6} (\frac{1}{\sqrt{6}})$
53029	Find the Axis of Symmetry	f(x)=6x^2+12x-7	$f (x) = 6 x^{2} + 12 x - 7$
53030	Simplify/Condense	log base 5 of 10- log base 5 of 2	$\log_{5} (10) - \log_{5} (2)$
53031	Simplify/Condense	log base 5 of 8- log base 5 of 12	$\log_{5} (8) - \log_{5} (12)$
53032	Find the Axis of Symmetry	3(x-1)^2-12	$3 {(x - 1)}^{2} - 12$
53033	Simplify/Condense	log base 4 of 24- log base 4 of 6	$\log_{4} (24) - \log_{4} (6)$
53034	Find the Axis of Symmetry	f(x)=-x^2+6x-18	$f (x) = - x^{2} + 6 x - 18$
53035	Find the Axis of Symmetry	f(x)=x^2-8x-2	$f (x) = x^{2} - 8 x - 2$
53036	Find the Axis of Symmetry	f(x)=x^2-14x-9	$f (x) = x^{2} - 14 x - 9$
53037	Find the Axis of Symmetry	f(x)=-(x-4)^2-6	$f (x) = - {(x - 4)}^{2} - 6$
53038	Find the Axis of Symmetry	f(x)=x^2+10x+31	$f (x) = x^{2} + 10 x + 31$
53039	Find the Quadrant	(-3,7)	$(- 3, 7)$
53040	Find the Axis of Symmetry	f(x)=2x^2-12x-3	$f (x) = 2 x^{2} - 12 x - 3$
53041	Find the Quadrant	(5,-2)	$(5, - 2)$
53042	Find the Axis of Symmetry	f(x)=x^2+3x-2	$f (x) = x^{2} + 3 x - 2$
53043	Find the Quadrant	(5,3)	$(5, 3)$
53044	Find the Axis of Symmetry	F(x)=-x^2+25	$F (x) = - x^{2} + 25$
53045	Find the Quadrant	(1,-3)	$(1, - 3)$
53046	Find the Axis of Symmetry	f(x)=2x^2-18x+8	$f (x) = 2 x^{2} - 18 x + 8$
53047	Find the Slope	(1,0) , (0,2)	$(1, 0)$ , $(0, 2)$
53048	Find the Slope	(4,7) , (8,10)	$(4, 7)$ , $(8, 10)$
53049	Find the Union of the Inequalities	x<8 or x<9	$x < 8$ or $x < 9$
53050	Solve by Graphing	y=-1/2x-3 , 4x-2y=16	$y = - \frac{1}{2} x - 3$ , $4 x - 2 y = 16$
53051	Find the Axis of Symmetry	f(x)=-x^2-8x-9	$f (x) = - x^{2} - 8 x - 9$
53052	Simplify	4/(3+ square root of 7)	$\frac{4}{3 + \sqrt{7}}$
53053	Evaluate	log of 96	$\log (96)$
53054	Evaluate	log of 93	$\log (93)$
53055	Evaluate	log of 67	$\log (67)$
53056	Evaluate	log of 63	$\log (63)$
53057	Convert to a Simplified Fraction	0.24	$0.24$
53058	Find the Axis of Symmetry	-x^2+4x-7	$- x^{2} + 4 x - 7$
53059	Convert to a Simplified Fraction	0.65	$0.65$
53060	Find the Axis of Symmetry	f(x)=1/9(x+9)^2+9	$f (x) = \frac{1}{9} {(x + 9)}^{2} + 9$
53061	Evaluate	log of square root of 1000	$\log (\sqrt{1000})$
53062	Evaluate	log of 1/10000000	$\log (\frac{1}{10000000})$
53063	Evaluate	natural log of 4.4	$\ln (4.4)$
53064	Convert to a Simplified Fraction	0.7033	$0.7033$
53065	Convert to a Simplified Fraction	5.24	$5.24$
53066	Evaluate	log of 34	$\log (34)$
53067	Convert to a Simplified Fraction	6.04	$6.04$
53068	Evaluate	log of 47	$\log (47)$
53069	Convert to a Simplified Fraction	8.05	$8.05$
53070	Evaluate	log of 12*20	$\log (12 \cdot 20)$
53071	Convert to a Simplified Fraction	1.95	$1.95$
53072	Evaluate	log of 2*64	$\log (2) \cdot 64$
53073	Convert to a Simplified Fraction	0.8333	$0.8333$
53074	Evaluate	3 log base 3 of 2	$3 \log_{3} (2)$
53075	Convert to a Simplified Fraction	108%	$108 %$
53076	Evaluate	3 log of 5	$3 \log (5)$
53077	Convert to a Simplified Fraction	3.64	$3.64$
53078	Evaluate	natural log of 10 root of e	$\ln (\sqrt[10]{e})$
53079	Convert to a Simplified Fraction	-0.36	$- 0.36$
53080	Evaluate	natural log of 11 root of e	$\ln (\sqrt[11]{e})$
53081	Convert to a Simplified Fraction	1.07	$1.07$
53082	Evaluate	natural log of square root of 3	$\ln (\sqrt{3})$
53083	Convert to a Simplified Fraction	0.012	$0.012$
53084	Evaluate	natural log of 4/7	$\ln (\frac{4}{7})$
53085	Convert to a Simplified Fraction	112.5	$112.5$
53086	Evaluate	natural log of 1/(e^11)	$\ln (\frac{1}{e^{11}})$
53087	Convert to a Simplified Fraction	9.75	$9.75$
53088	Evaluate	( log of 15)/( log of 3)	$\frac{\log (15)}{\log (3)}$
53089	Evaluate	log of 30	$\log (30)$
53090	Convert to a Simplified Fraction	33.33	$33.33$
53091	Evaluate	log base 2 of 28	$\log_{2} (28)$
53092	Convert to a Simplified Fraction	3.45	$3.45$
53093	Evaluate	log base 2.2 of 22	$\log_{2.2} (22)$
53094	Convert to a Simplified Fraction	-4.8	$- 4.8$
53095	Evaluate	log base 15 of 89.5	$\log_{15} (89.5)$
53096	Convert to a Simplified Fraction	-0.25	$- 0.25$
53097	Convert to a Simplified Fraction	4.16	$4.16$
53098	Evaluate	log base 14 of 89.5	$\log_{14} (89.5)$
53099	Convert to a Simplified Fraction	1.47	$1.47$
53100	Evaluate	log base 16 of 256	$\log_{16} (256)$