Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12001	Solve for x	5^(2x)+5^(x+1)-66=0	$5^{2 x} + 5^{x + 1} - 66 = 0$
12002	Solve for x	5^(1-7x)=4^x	$5^{1 - 7 x} = 4^{x}$
12003	Solve for x	5/(x-4)-3/(2x^2-5x-12)=1/(2x+3)	$\frac{5}{x - 4} - \frac{3}{2 x^{2} - 5 x - 12} = \frac{1}{2 x + 3}$
12004	Solve for x	5^(2x)+5^x-12=0	$5^{2 x} + 5^{x} - 12 = 0$
12005	Solve for x	5^(x^2-8)=25^x	$5^{x^{2} - 8} = 25^{x}$
12006	Solve for x	5^(-10x)=16^(-x-6)	$5^{- 10 x} = 16^{- x - 6}$
12007	Solve for x	5^(3x)=5^(4x-2)	$5^{3 x} = 5^{4 x - 2}$
12008	Solve for x	5^(2x-7)=324	$5^{2 x - 7} = 324$
12009	Solve for x	5^(2x-3)=125	$5^{2 x - 3} = 125$
12010	Solve for x	5^(5x+1)=125	$5^{5 x + 1} = 125$
12011	Solve for x	5^(5-3x)=26	$5^{5 - 3 x} = 26$
12012	Solve for x	5^(5x+7)=1/125	$5^{5 x + 7} = \frac{1}{125}$
12013	Solve for x	5^(2x-3)=3^(x+1)	$5^{2 x - 3} = 3^{x + 1}$
12014	Solve for x	5^(3x-1)=4^(x+1)	$5^{3 x - 1} = 4^{x + 1}$
12015	Solve for x	5^x=4^(x+3)	$5^{x} = 4^{x + 3}$
12016	Solve for x	5^x+125(5^(-x))-30=0	$5^{x} + 125 (5^{- x}) - 30 = 0$
12017	Solve for x	5^(9x-7)=25	$5^{9 x - 7} = 25$
12018	Solve for x	5^(-x)=1/125	$5^{- x} = \frac{1}{125}$
12019	Solve for x	5^x=125^(x+1)	$5^{x} = 125^{x + 1}$
12020	Solve for x	5^(3x)=29	$5^{3 x} = 29$
12021	Solve for x	5^(-5x)=9	$5^{- 5 x} = 9$
12022	Solve for x	5^(x+3)=2^x	$5^{x + 3} = 2^{x}$
12023	Solve for x	5^(x+1)=625	$5^{x + 1} = 625$
12024	Solve for x	5^x=41	$5^{x} = 41$
12025	Solve for x	50/(4+e^(2x))=11	$\frac{50}{4 + e^{2 x}} = 11$
12026	Solve for x	5^(x-8)=1/125	$5^{x - 8} = \frac{1}{125}$
12027	Solve for x	5^(x+4)=29	$5^{x + 4} = 29$
12028	Solve for x	5^(x-1)=3^x	$5^{x - 1} = 3^{x}$
12029	Solve for x	6^( log base 3 of x)=36	$6^{\log_{3} (x)} = 36$
12030	Solve for x	6/(x-1)+3/(x+1)=28/(x^2-1)	$\frac{6}{x - 1} + \frac{3}{x + 1} = \frac{28}{x^{2} - 1}$
12031	Solve for x	(5x)/3-x=x/6-3/2	$\frac{5 x}{3} - x = \frac{x}{6} - \frac{3}{2}$
12032	Solve for x	6/(2x+11)+5=5	$\frac{6}{2 x + 11} + 5 = 5$
12033	Simplify	2(x+h)^2-6(x+h)-(2x^2-6x)	$2 {(x + h)}^{2} - 6 (x + h) - (2 x^{2} - 6 x)$
12034	Simplify	2(x-2)^2-3	$2 {(x - 2)}^{2} - 3$
12035	Simplify	2(a+h)^3	$2 {(a + h)}^{3}$
12036	Simplify	2.1(1-e^(-0.69*3.0))	$2.1 (1 - e^{- 0.69 \cdot 3})$
12037	Simplify	2( square root of x-2)^2-20	$2 {(\sqrt{x - 2})}^{2} - 20$
12038	Simplify	2cos(75)^2-1	$2 \cos^{2} (75) - 1$
12039	Simplify	2(x-h)^2	$2 {(x - h)}^{2}$
12040	Simplify	2cos(-(3pi)/8)^2-1	$2 \cos^{2} (- \frac{3 π}{8}) - 1$
12041	Simplify	2m^3(-4m^6+3m^5-3m^4+m^4-3m^3+2m+m-9)	$2 m^{3} (- 4 m^{6} + 3 m^{5} - 3 m^{4} + m^{4} - 3 m^{3} + 2 m + m - 9)$
12042	Simplify	2e^(-0.085t)	$2 e^{- 0.085 t}$
12043	Simplify	2sin(225)^2-tan(135)	$2 \sin^{2} (225) - \tan (135)$
12044	Simplify	2sin(60)^2+3sin(60)+1	$2 \sin^{2} (60) + 3 \sin (60) + 1$
12045	Simplify	(4x^2-x+16)(x^2+3x+4)	$(4 x^{2} - x + 16) (x^{2} + 3 x + 4)$
12046	Simplify	2tan(300)^2+3sin(150)^2-cos(180)^2	$2 \tan^{2} (300) + 3 \sin^{2} (150) - \cos^{2} (180)$
12047	Simplify	-2 square root of 9y+10 square root of y	$- 2 \sqrt{9 y} + 10 \sqrt{y}$
12048	Simplify	2(2x+3)+3	$2 (2 x + 3) + 3$
12049	Simplify	2((x-1)/2)-1	$2 (\frac{x - 1}{2}) - 1$
12050	Simplify	2cos(pi/6)+sin(2*pi/6)	$2 \cos (\frac{π}{6}) + \sin (2 \cdot \frac{π}{6})$
12051	Simplify	2(1/x)+4	$2 (\frac{1}{x}) + 4$
12052	Simplify	2(5x+4)-3	$2 (5 x + 4) - 3$
12053	Simplify	2(3x^6-9x^2+2x)-(5x^6-10x^2-4x)	$2 (3 x^{6} - 9 x^{2} + 2 x) - (5 x^{6} - 10 x^{2} - 4 x)$
12054	Simplify	1-cos(x)+1+cos(x)	$1 - \cos (x) + 1 + \cos (x)$
12055	Simplify	1-cos(u)	$1 - \cos (u)$
12056	Simplify	2+10/16	$2 + \frac{10}{16}$
12057	Simplify	1-cos(2x)+2cos(x)^2	$1 - \cos (2 x) + 2 \cos^{2} (x)$
12058	Simplify	1724 3/4-1343 7/8	$1724 \frac{3}{4} - 1343 \frac{7}{8}$
12059	Simplify	-14i^5	$- 14 i^{5}$
12060	Simplify	18x^3+33x^2+30x+3÷6x-1	$18 x^{3} + 33 x^{2} + 30 x + 3 \div 6 x - 1$
12061	Simplify	180-24-54.4	$180 - 24 - 54.4$
12062	Simplify	16sin(x)^2cos(x)^2	$16 \sin^{2} (x) \cos^{2} (x)$
12063	Simplify	16-(x+2)^2	$16 - {(x + 2)}^{2}$
12064	Simplify	16x^(-3/4)+32x^(1/4)	$16 x^{- \frac{3}{4}} + 32 x^{\frac{1}{4}}$
12065	Simplify	16x^(4a)-y^(8a)	$16 x^{4 a} - y^{8 a}$
12066	Simplify	160sin(x)^2cos(x)^2	$160 \sin^{2} (x) \cos^{2} (x)$
12067	Simplify	16sin(3x)cos(3x)	$16 \sin (3 x) \cos (3 x)$
12068	Simplify	1-1/(1-1/(1-x))	$1 - \frac{1}{1 - \frac{1}{1 - x}}$
12069	Simplify	1-1/(1-3/x)	$1 - \frac{1}{1 - \frac{3}{x}}$
12070	Simplify	1-1/(1-6/x)	$1 - \frac{1}{1 - \frac{6}{x}}$
12071	Simplify	(x-3)/(x^2*4)-(x+2)/(x^2-5x+6)-2/(x-2)	$\frac{x - 3}{x^{2} \cdot 4} - \frac{x + 2}{x^{2} - 5 x + 6} - \frac{2}{x - 2}$
12072	Simplify	y^9y^6y^2	$y^{9} \cdot y^{6} \cdot y^{2}$
12073	Simplify	(y+(a^2)/y)/(y^2)	$\frac{y + \frac{a^{2}}{y}}{y^{2}}$
12074	Simplify	(z-3)/(z+3)*(z^2-9)/(z^2+z-12)	$\frac{z - 3}{z + 3} \cdot \frac{z^{2} - 9}{z^{2} + z - 12}$
12075	Simplify	(4(x^2-1))/(12(x+2)(x-1))	$\frac{4 (x^{2} - 1)}{12 (x + 2) (x - 1)}$
12076	Simplify	-1+ square root of 3i	$- 1 + \sqrt{3 i}$
12077	Simplify	1+3i-5i^2+4-2i-i^3	$1 + 3 i - 5 i^{2} + 4 - 2 i - i^{3}$
12078	Simplify	10(cos(306.9)+isin(306.9))	$10 (\cos (306.9) + i \sin (306.9))$
12079	Simplify	1-(3c+2d)/(6c)+(3c-7d)/(9c)	$1 - \frac{3 c + 2 d}{6 c} + \frac{3 c - 7 d}{9 c}$
12080	Simplify	1-(sin(x))/(cos(x))	$1 - \frac{\sin (x)}{\cos (x)}$
12081	Simplify	1-2sin(157.5)^2	$1 - 2 \sin^{2} (157.5)$
12082	Simplify	1-2sin(2x)^2	$1 - 2 \sin^{2} (2 x)$
12083	Simplify	1-2sin(45)^2	$1 - 2 \sin^{2} (45)$
12084	Simplify	1-2sin((5pi)/12)^2	$1 - 2 \sin^{2} (\frac{5 π}{12})$
12085	Simplify	1-2sin(67.5)^2	$1 - 2 \sin^{2} (67.5)$
12086	Simplify	12(2^x)	$12 (2^{x})$
12087	Simplify	1-2sin(3/5)^2	$1 - 2 \sin^{2} (\frac{3}{5})$
12088	Simplify	1-2sin(15)^2	$1 - 2 \sin^{2} (15)$
12089	Simplify	10sin(4x)cos(4x)	$10 \sin (4 x) \cos (4 x)$
12090	Simplify	11 square root of 245x^3-9 square root of 45x^3	$11 \sqrt{245 x^{3}} - 9 \sqrt{45 x^{3}}$
12091	Simplify	112sin(x)^2cos(x)^2	$112 \sin^{2} (x) \cos^{2} (x)$
12092	Simplify	118cos(37)	$118 \cos (37)$
12093	Simplify	10cos(x)^4	$10 \cos^{4} (x)$
12094	Simplify	1+i-1+i	$1 + i - 1 + i$
12095	Simplify	10(cos(-x))	$10 (\cos (- x))$
12096	Simplify	10000000x^(15%)	$10000000 x^{15 %}$
12097	Simplify	102sin(67)(3)-16*9	$102 \sin (67) (3) - 16 \cdot 9$
12098	Simplify	10cos(45)	$10 \cos (45)$
12099	Simplify	1+cos(60)	$1 + \cos (60)$
12100	Simplify	12i(1-9i)	$12 i (1 - 9 i)$