Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39901	Simplify/Condense	log of 15- log of 5	$\log (15) - \log (5)$
39902	Simplify/Condense	log of 154	$\log (154)$
39903	Simplify/Condense	log of 155-4.9	$\log (155) - 4.9$
39904	Simplify/Condense	log of 16	$\log (16)$
39905	Simplify/Condense	( log of 16*1)/8	$\frac{\log (16) \cdot 1}{8}$
39906	Simplify/Condense	log of 16+ log of 7	$\log (16) + \log (7)$
39907	Simplify/Condense	log of 17x-6+ log of 6x-3	$\log (17 x - 6) + \log (6 x - 3)$
39908	Find the Exact Value	arcsin(sin(30))	$\arcsin (\sin (30))$
39909	Simplify/Condense	log of 18- log of 2	$\log (18) - \log (2)$
39910	Simplify/Condense	log of 19*19^8	$\log (19) \cdot 19^{8}$
39911	Simplify/Condense	log of 2(8x+9)	$\log (2) (8 x + 9)$
39912	Simplify/Condense	log of 25- log of 32	$\log (2) \cdot 5 - \log (3) \cdot 2$
39913	Simplify/Condense	( log of 2(8x^2))/y+ log of 2*(2xy)	$\frac{\log (2) (8 x^{2})}{y} + \log (2) \cdot (2 x y)$
39914	Simplify/Condense	log of 2*5^2+ log of (4)^5	$\log (2) \cdot 5^{2} + \log ({(4)}^{5})$
39915	Simplify/Condense	log of 2xy^2+ log of 2x^2	$\log (2) x y^{2} + \log (2) x^{2}$
39916	Simplify/Condense	log of 2+ log of 11	$\log (2) + \log (11)$
39917	Simplify/Condense	log of 35+ log of 36	$\log (3) \cdot 5 + \log (3) \cdot 6$
39918	Simplify/Condense	log of 3*6- log of 3a	$\log (3) \cdot 6 - \log (3) a$
39919	Simplify/Condense	log of 3*9	$\log (3) \cdot 9$
39920	Simplify/Condense	log of 3(9x^4)- log of 3(3x^2)	$\log (3) \cdot (9 x^{4}) - \log (3) \cdot (3 x^{2})$
39921	Simplify/Condense	log of 3- log of 12+ log of 6	$\log (3) - \log (12) + \log (6)$
39922	Simplify/Condense	log of 3.8*10^-3	$\log (3.8) \cdot 10^{- 3}$
39923	Find the Asymptotes	(8x-8)/(x+2)	$\frac{8 x - 8}{x + 2}$
39924	Simplify/Condense	log of 3 square root of 27	$\log (3 \sqrt{27})$
39925	Simplify/Condense	log of 300	$\log (300)$
39926	Simplify/Condense	log of 32	$\log (32)$
39927	Simplify/Condense	log of 32(0.5)	$\log (32 (0.5))$
39928	Simplify/Condense	log of 363-0.5 log of 16	$\log (363) - 0.5 \log (16)$
39929	Simplify/Condense	log of 369+ log of 36	$\log (369) + \log (36)$
39930	Simplify/Condense	log of 379+ log of 49	$\log (379) + \log (49)$
39931	Simplify/Condense	log of 3x+2 log of x- log of y	$\log (3 x) + 2 \log (x - \log (y))$
39932	Simplify/Condense	log of 3+ log of 24- log of 2	$\log (3) + \log (24) - \log (2)$
39933	Simplify/Condense	log of 3+ log of 5+ log of 2- log of 15	$\log (3) + \log (5) + \log (2) - \log (15)$
39934	Simplify/Condense	log of 3+ log of 5+ log of 4- log of 15	$\log (3) + \log (5) + \log (4) - \log (15)$
39935	Simplify/Condense	log of 3*27	$\log (3) \cdot 27$
39936	Simplify/Condense	log of 3-2 log of 4+ log of 32	$\log (3) - 2 \log (4) + \log (32)$
39937	Simplify/Condense	log of 2s+1- log of x	$\log (2 s + 1) - \log (x)$
39938	Simplify/Condense	log of 2x*10	$\log (2 x) \cdot 10$
39939	Simplify/Condense	log of 2x+1+1+ log of 3x-8	$\log (2 x + 1) + 1 + \log (3 x - 8)$
39940	Simplify/Condense	log of 25x	$\log (25 x)$
39941	Simplify/Condense	log of 28+1/2* log of 3- log of 4	$\log (28) + \frac{1}{2} \cdot \log (3) - \log (4)$
39942	Simplify/Condense	log of 28- log of 3	$\log (28) - \log (3)$
39943	Simplify/Condense	log of 25- log of 5	$\log (25) - \log (5)$
39944	Simplify/Condense	log of 2x+6 log of 8	$\log (2 x + 6) \log (8)$
39945	Simplify/Condense	log of 2x+75=2	$\log (2 x + 75) = 2$
39946	Simplify/Condense	log of 2x-2+ log of x-6=2	$\log (2 x - 2) + \log (x - 6) = 2$
39947	Find the Center and Radius	x^2+y^2-3x+5y-2=0	$x^{2} + y^{2} - 3 x + 5 y - 2 = 0$
39948	Simplify/Condense	log of 3(1/9)	$\log (3) (\frac{1}{9})$
39949	Simplify/Condense	log of 3(81^2)	$\log (3) (81^{2})$
39950	Simplify/Condense	( log of 3*37)/14	$\frac{\log (3) \cdot 37}{14}$
39951	Simplify/Condense	log of 3+2 log of x-5 log of y	$\log (3) + 2 \log (x) - 5 \log (y)$
39952	Simplify/Condense	1/2* natural log of 9-2( natural log of x+2+ natural log of x-2)	$\frac{1}{2} \cdot \ln (9) - 2 (\ln (x + 2) + \ln (x - 2))$
39953	Simplify/Condense	1/2* natural log of x+2 natural log of y-5 natural log of z	$\frac{1}{2} \cdot \ln (x) + 2 \ln (y) - 5 \ln (z)$
39954	Simplify/Condense	1/2* log of 8x+1-( log of x+1-3/2* log of 8x+1)	$\frac{1}{2} \cdot \log (8 x + 1) - (\log (x + 1) - \frac{3}{2} \cdot \log (8 x + 1))$
39955	Simplify/Condense	1/2* log of x+4 log of y	$\frac{1}{2} \cdot \log (x) + 4 \log (y)$
39956	Simplify/Condense	1/3*((2 log of a+ log of b-5 log of c)/4)	$\frac{1}{3} \cdot (\frac{2 \log (a) + \log (b) - 5 \log (c)}{4})$
39957	Simplify/Condense	1/3*( log base 2 of a^5)- log base 2 of bc^3	$\frac{1}{3} \cdot (\log_{2} (a^{5})) - \log_{2} (b c^{3})$
39958	Simplify/Condense	1/3*(2 log base b of M- log base b of N- log base b of P)	$\frac{1}{3} \cdot (2 \log_{b} (M) - \log_{b} (N) - \log_{b} (P))$
39959	Solve for x	3sin(x)^2=5sin(x)+2	$3 \sin^{2} (x) = 5 \sin (x) + 2$
39960	Simplify/Condense	1/3* log of (x+3)^2+ log of x^2- log of x^2-2x-15	$\frac{1}{3} \cdot \log ({(x + 3)}^{2}) + \log (x^{2}) - \log (x^{2} - 2 x - 15)$
39961	Simplify/Condense	1/3* log base a of x+1/2* log base a of 2y-1/6* log base a of 4z	$\frac{1}{3} \cdot \log_{a} (x) + \frac{1}{2} \cdot \log_{a} (2 y) - \frac{1}{6} \cdot \log_{a} (4 z)$
39962	Simplify/Condense	1/3*(2 natural log of x+3)+ natural log of x- natural log of x^2-1	$\frac{1}{3} \cdot (2 \ln (x + 3)) + \ln (x) - \ln (x^{2} - 1)$
39963	Simplify/Condense	1/3* log of 64-1/2* log of 9	$\frac{1}{3} \cdot \log (64) - \frac{1}{2} \cdot \log (9)$
39964	Simplify/Condense	1/3* log of 8+ log of 15	$\frac{1}{3} \cdot \log (8) + \log (15)$
39965	Simplify/Condense	1/4*(3 natural log of x+2- natural log of x- natural log of x^2-81)	$\frac{1}{4} \cdot (3 \ln (x + 2) - \ln (x) - \ln (x^{2} - 81))$
39966	Solve for ?	2cos(theta)^2+cos(theta)=0	$2 \cos^{2} (θ) + \cos (θ) = 0$
39967	Simplify/Condense	1/4*( log base c of x+5 log base c of y-4 log base c of x)	$\frac{1}{4} \cdot (\log_{c} (x + 5) \log_{c} (y - 4) \log_{c} (x))$
39968	Simplify/Condense	(e^( natural log of 1/2))^2	${(e^{\ln (\frac{1}{2})})}^{2}$
39969	Simplify/Condense	log of (4)^200	$\log ({(4)}^{200})$
39970	Simplify/Condense	log base 3 of (1/3)^2	$\log_{3} ({(\frac{1}{3})}^{2})$
39971	Simplify/Condense	log base 3 of (2m)^(-4/3*(4m)^2)	$\log_{3} ({(2 m)}^{- \frac{4}{3} \cdot {(4 m)}^{2}})$
39972	Simplify/Condense	( log base 5 of 1000)/( log base 5 of 8)	$\frac{\log_{5} (1000)}{\log_{5} (8)}$
39973	Simplify/Condense	log base 6 of (216)^2	$\log_{6} ({(216)}^{2})$
39974	Simplify/Condense	log base 6 of (5)^4+ log of (6)^25	$\log_{6} ({(5)}^{4}) + \log ({(6)}^{25})$
39975	Simplify/Condense	log base b of (w)^15	$\log_{b} ({(w)}^{15})$
39976	Simplify/Condense	1/2*( log base 9 of a+ log base 9 of b)	$\frac{1}{2} \cdot (\log_{9} (a) + \log_{9} (b))$
39977	Simplify/Condense	1/2*( log of (x)^4- log of (x^2-2x-15)^2)	$\frac{1}{2} \cdot (\log ({(x)}^{4}) - \log ({(x^{2} - 2 x - 15)}^{2}))$
39978	Simplify	(1+i)(2+i)	$(1 + i) (2 + i)$
39979	Simplify/Condense	1/2* log base 2 of 100-1/2* log base 2 of 25	$\frac{1}{2} \cdot \log_{2} (100) - \frac{1}{2} \cdot \log_{2} (25)$
39980	Simplify/Condense	1/2* log base 2 of 3x-1/3* log base 2 of 4x	$\frac{1}{2} \cdot \log_{2} (3 x) - \frac{1}{3} \cdot \log_{2} (4 x)$
39981	Simplify/Condense	1/2* log base 3 of y+2 log base 3 of x- log of log base 3 of z	$\frac{1}{2} \cdot \log_{3} (y) + 2 \log_{3} (x) - \log (\log_{3} (z))$
39982	Simplify/Condense	1/2* log base 5 of x-6 log base 5 of x	$\frac{1}{2} \cdot \log_{5} (x) - 6 \log_{5} (x)$
39983	Simplify/Condense	1/2* log base 6 of x-6 log base 6 of x	$\frac{1}{2} \cdot \log_{6} (x) - 6 \log_{6} (x)$
39984	Simplify/Condense	1/2* log base b of x+2 log base b of y-3 log base b of x	$\frac{1}{2} \cdot \log_{b} (x) + 2 \log_{b} (y) - 3 \log_{b} (x)$
39985	Simplify/Condense	x log of 10^x	$x \log (10^{x})$
39986	Simplify/Condense	xy log of x/ydx+(y^2-x^2 log of x/ydy)	$x y \log (\frac{x}{y}) d x + (y^{2} - x^{2} \log (\frac{x}{y}) d y)$
39987	Simplify/Condense	y log base w of x+z log base w of x+4	$y \log_{w} (x) + z \log_{w} (x + 4)$
39988	Graph	((x-2)^2)/9+((y+1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} + \frac{{(y + 1)}^{2}}{4} = 1$
39989	Graph	y=4/3cos(3/2x)	$y = \frac{4}{3} \cos (\frac{3}{2} x)$
39990	Simplify/Condense	e^(7x natural log of x)	$e^{7 x \ln (x)}$
39991	Simplify/Condense	( log base a of q- log base a of r)+4 log base a of p	$(\log_{a} (q) - \log_{a} (r)) + 4 \log_{a} (p)$
39992	Simplify/Condense	( natural log of x)(2x)	$(\ln (x)) (2 x)$
39993	Simplify/Condense	log of at- log of as+3 log of au	$\log (a) t - \log (a) s + 3 \log (a) u$
39994	Simplify/Condense	(e^(2/3))^( natural log of square root of 27)	${(e^{\frac{2}{3}})}^{\ln (\sqrt{27})}$
39995	Find the Domain	f(x) = square root of 2x-6	$f (x) = \sqrt{2 x - 6}$
39996	Simplify/Condense	( log of zxy)/((64)^2)	$\frac{\log (z) x y}{{(64)}^{2}}$
39997	Simplify/Condense	log of (3.5)(1)	$\log ((3.5) (1))$
39998	Simplify/Condense	p log base b of a-q log base b of b+r log base b of c	$p \log_{b} (a) - q \log_{b} (b) + r \log_{b} (c)$
39999	Simplify/Condense	sin(arcsin(1/8))+ log of 1000	$\sin (\arcsin (\frac{1}{8})) + \log (1000)$
40000	Simplify/Condense	x log of x	$x \log (x)$