Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14001	Solve for x	5/x=(x+3)/6	$\frac{5}{x} = \frac{x + 3}{6}$
14002	Solve for x	5/(x-3)-2/x=1	$\frac{5}{x - 3} - \frac{2}{x} = 1$
14003	Solve for x	5^(2-x)=1/125	$5^{2 - x} = \frac{1}{125}$
14004	Solve for x	5/(3x+2)-1/4=0	$\frac{5}{3 x + 2} - \frac{1}{4} = 0$
14005	Solve for x	4^x-5=12	$4^{x} - 5 = 12$
14006	Solve for x	41.2^x=12.6^(x-1)	${41.2}^{x} = {12.6}^{x - 1}$
14007	Solve for x	4^(2x-5)=64^(3x)	$4^{2 x - 5} = 64^{3 x}$
14008	Solve for x	4^(4x-3)=6^(-x-1)	$4^{4 x - 3} = 6^{- x - 1}$
14009	Solve for x	4^(1+2x)=64	$4^{1 + 2 x} = 64$
14010	Solve for x	4^(-3+x)=1/18	$4^{- 3 + x} = \frac{1}{18}$
14011	Solve for x	4/(x+6)=6/x	$\frac{4}{x + 6} = \frac{6}{x}$
14012	Solve for x	4/(x+7)=6/x	$\frac{4}{x + 7} = \frac{6}{x}$
14013	Solve for x	32^(x-5)=64	$32^{x - 5} = 64$
14014	Solve for x	25^(3x-1)=5^(4-7x)	$25^{3 x - 1} = 5^{4 - 7 x}$
14015	Solve for x	2^(x-3)*2^(-2x)=16	$2^{x - 3} \cdot 2^{- 2 x} = 16$
14016	Solve for x	3^(2x)-4*3^x+3=0	$3^{2 x} - 4 \cdot 3^{x} + 3 = 0$
14017	Solve for x	3^(x-2)=4^(2x-1)	$3^{x - 2} = 4^{2 x - 1}$
14018	Solve for x	3^(2x)=108	$3^{2 x} = 108$
14019	Solve for x	30/(x^2+9)+1=5/-3	$\frac{30}{x^{2} + 9} + 1 = \frac{5}{- 3}$
14020	Solve for x	3^(x+5)=1/27	$3^{x + 5} = \frac{1}{27}$
14021	Solve for x	3^(x-4)=9^(x+28)	$3^{x - 4} = 9^{x + 28}$
14022	Solve for x	3^x=27^(x-2)	$3^{x} = 27^{x - 2}$
14023	Solve for x	3^(5x)=85	$3^{5 x} = 85$
14024	Solve for x	2^(-x)=1.5	$2^{- x} = 1.5$
14025	Solve for x	21/x=3/4	$\frac{21}{x} = \frac{3}{4}$
14026	Solve for x	(2pi)/x=3	$\frac{2 π}{x} = 3$
14027	Solve for x	6^x=4	$6^{x} = 4$
14028	Solve for x	6^(7x-4)=3^(2x+1)	$6^{7 x - 4} = 3^{2 x + 1}$
14029	Solve for x	5^x-18=34	$5^{x} - 18 = 34$
14030	Solve for x	4026^(2x+4)=1024^(-4x+2)	$4026^{2 x + 4} = 1024^{- 4 x + 2}$
14031	Solve for x	81^(x+2)=27^(5x+4)	$81^{x + 2} = 27^{5 x + 4}$
14032	Solve for x	81^(x^3+2x^2)=27^((5x)/3)	$81^{x^{3} + 2 x^{2}} = 27^{\frac{5 x}{3}}$
14033	Solve for x	9/x+9/(x-2)=12	$\frac{9}{x} + \frac{9}{x - 2} = 12$
14034	Solve for x	9/(x-4)-9/x=36/(x^2-4x)	$\frac{9}{x - 4} - \frac{9}{x} = \frac{36}{x^{2} - 4 x}$
14035	Solve for x	9^(x-2)=27	$9^{x - 2} = 27$
14036	Solve for x	7^(x-4)=7^8	$7^{x - 4} = 7^{8}$
14037	Solve for x	7/9=2/(x+5)	$\frac{7}{9} = \frac{2}{x + 5}$
14038	Solve for x	7^(x+1)+7^x+7^(x-1)=399	$7^{x + 1} + 7^{x} + 7^{x - 1} = 399$
14039	Solve for x	8^2=17^2+x^2	$8^{2} = 17^{2} + x^{2}$
14040	Solve for x	e^(3x)-1=4	$e^{3 x} - 1 = 4$
14041	Solve for x	e^(2x)-30e^x+1=0	$e^{2 x} - 30 e^{x} + 1 = 0$
14042	Solve for x	e^(2x)-7e^x=8	$e^{2 x} - 7 e^{x} = 8$
14043	Simplify Using Half-Angle Formula	cos(165 degrees )	$\cos^{2} (x) - \cos (2 x) = 0$
14044	Solve for x	cos(x)^3-cos(x)=0	$\cos^{3} (x) - \cos (x) = 0$
14045	Solve for x	cot(x)^2(sec(x)^2-1)=1	$\cot^{2} (x) (\sec^{2} (x) - 1) = 1$
14046	Solve for x	cot(x)^2=3	$\cot^{2} (x) = 3$
14047	Solve for x	(csc(x))/(cot(x)) = square root of 2	$\frac{\csc (x)}{\cot (x)} = \sqrt{2}$
14048	Simplify Using Half-Angle Formula	sin(67.5 degrees )	$\csc^{2} (\frac{x}{2}) = 2 \sec (x)$
14049	Solve for x	csc(x)^2+0.5cot(x)-5=0	$\csc^{2} (x) + 0.5 \cot (x) - 5 = 0$
14050	Solve for x	e^(1-x)=5	$e^{1 - x} = 5$
14051	Solve for x	9^(x-1)=27^x	$9^{x - 1} = 27^{x}$
14052	Solve for x	arccos(x)=arcsin(15/17)	$\arccos (x) = \arcsin (\frac{15}{17})$
14053	Solve for x	5^(x-4)=625	$5^{x - 4} = 625$
14054	Solve for x	9^x=1/243	$9^{x} = \frac{1}{243}$
14055	Solve for x	cos(x)^2=0.24	$\cos^{2} (x) = 0.24$
14056	Solve for x	cos(x)^2-3sin(x)^2=0	$\cos^{2} (x) - 3 \sin^{2} (x) = 0$
14057	Solve for x	cos(x)^2-cos(x)-2=0	$\cos^{2} (x) - \cos (x) - 2 = 0$
14058	Solve for x	arccos(x)=arcsin(7/25)	$\arccos (x) = \arcsin (\frac{7}{25})$
14059	Solve for x	cos(2x)^2+sin(2x)-1=0	$\cos^{2} (2 x) + \sin (2 x) - 1 = 0$
14060	Solve for x	cos(x)^2+2cos(x)-3=0	$\cos^{2} (x) + 2 \cos (x) - 3 = 0$
14061	Solve for x	cos(x)^2+3cos(x)-2=0	$\cos^{2} (x) + 3 \cos (x) - 2 = 0$
14062	Solve for q	8q^2-6q=7q^2-9q+10	$8 q^{2} - 6 q = 7 q^{2} - 9 q + 10$
14063	Solve for r	(r+18)^2=r^2+24^2	${(r + 18)}^{2} = r^{2} + 24^{2}$
14064	Solve for P	P(80)=90/(1+271e^(-0.122*80))	$P (80) = \frac{90}{1 + 271 e^{- 0.122 \cdot 80}}$
14065	Solve for P	P(16)=75000e^(0.013(16))	$P (16) = 75000 e^{0.013 (16)}$
14066	Solve for p	q=75-3p	$q = 75 - 3 p$
14067	Solve for q	2 square root of 2sin(q+2)=0	$2 \sqrt{2} \sin (q + 2) = 0$
14068	Solve for r	r^2+3r=7	$r^{2} + 3 r = 7$
14069	Solve for q	11q-7.5q+1.4=-24.2	$11 q - 7.5 q + 1.4 = - 24.2$
14070	Solve for r	12=1/2*(r^2(0.9))	$12 = \frac{1}{2} \cdot (r^{2} (0.9))$
14071	Solve for p	pH=- log of 6.4	$p H = - \log (6.4)$
14072	Solve for r	11983=21018e^(3r)	$11983 = 21018 e^{3 r}$
14073	Solve for r	16=1/2*(r^2(0.9))	$16 = \frac{1}{2} \cdot (r^{2} (0.9))$
14074	Solve for p	p(2)=2^3-2	$p (2) = 2^{3} - 2$
14075	Solve for p	4p=4	$4 p = 4$
14076	Solve for o	x=135	$x = 135$
14077	Solve for o	sin(c)=3/5*sin(100)	$\sin (c) = \frac{3}{5} \cdot \sin (100)$
14078	Solve for p	7p^2-20p+12=0	$7 p^{2} - 20 p + 12 = 0$
14079	Find the Reference Angle	(7pi)/8	$\frac{7 π}{8}$
14080	Find the Reference Angle	580 degrees	$580 °$
14081	Solve for p	p(1)=1200/(1+11e^(-0.2*60))	$p (1) = \frac{1200}{1 + 11 e^{- 0.2 \cdot 60}}$
14082	Solve for r	r=1-sin(x)	$r = 1 - \sin (x)$
14083	Solve for r	r = cube root of (A^2B)/C	$r = \sqrt[3]{\frac{A^{2} B}{C}}$
14084	Solve for r	r=16	$r = 16$
14085	Evaluate	cos(-135 degrees )	$\cos (- 135 °)$
14086	Evaluate	csc(-pi/2)	$\csc (- \frac{π}{2})$
14087	Solve for r	r=-4cos(x)	$r = - 4 \cos (x)$
14088	Solve for r	r=8	$r = 8$
14089	Solve for r	38000=(2pr^45.3)/360	$38000 = \frac{2 p r^{45.3}}{360}$
14090	Solve for r	1800=600(1+r/1)^20	$1800 = 600 {(1 + \frac{r}{1})}^{20}$
14091	Solve for r	4=r*1/4	$4 = r \cdot \frac{1}{4}$
14092	Solve for r	r=pi/3	$r = \frac{π}{3}$
14093	Solve for n	log base 4 of n=1/4* log base 4 of 81+1/2* log base 4 of 25	$\log_{4} (n) = \frac{1}{4} \cdot \log_{4} (81) + \frac{1}{2} \cdot \log_{4} (25)$
14094	Solve for n	n^2-8n+7=0	$n^{2} - 8 n + 7 = 0$
14095	Solve for N	28-3N=22	$28 - 3 N = 22$
14096	Solve for n	-6(n+2)+13=-3n-5	$- 6 (n + 2) + 13 = - 3 n - 5$
14097	Solve for n	n(4.25)=2100(2)^4.25	$n (4.25) = 2100 {(2)}^{4.25}$
14098	Solve for n	sin(n)=1.11	$\sin (n) = 1.11$
14099	Solve for n	7-(4^2-10)+n=10	$7 - (4^{2} - 10) + n = 10$
14100	Solve for o	17^2=8^2+o^2	$17^{2} = 8^{2} + o^{2}$