Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
24001	Simplify/Condense	2 log of 3n- log of 6n^3	$2 \log (3 n) - \log (6 n^{3})$
24002	Simplify/Condense	2 log of 47- log of 43-4 log of 4*2	$2 \log (4) \cdot 7 - \log (4) \cdot 3 - 4 \log (4) \cdot 2$
24003	Simplify/Condense	2 log of 5	$2 \log (5)$
24004	Simplify/Condense	2 log of 6+ log of x	$2 \log (6) + \log (x)$
24005	Simplify/Condense	2 log of bq+8 log of bt	$2 \log (b) q + 8 \log (b) t$
24006	Simplify/Condense	2 log of bq+8 log of bt	$2 \log (b q) + 8 \log (b t)$
24007	Simplify/Condense	2 log of x+1/2* log of y+4 log of z	$2 \log (x) + \frac{1}{2} \cdot \log (y) + 4 \log (z)$
24008	Simplify/Condense	2 log of x+1/2* log of y- log of z	$2 \log (x) + \frac{1}{2} \cdot \log (y) - \log (z)$
24009	Simplify/Condense	2 log of x+1/3* log of z-5 log of y	$2 \log (x) + \frac{1}{3} \cdot \log (z) - 5 \log (y)$
24010	Simplify/Condense	2 log of x+21x	$2 \log (x) + 21 x$
24011	Simplify/Condense	2 log of x+ log of x+3	$2 \log (x) + \log (x + 3)$
24012	Simplify/Condense	2 log of x-3 log of y+ log of z	$2 \log (x) - 3 \log (y) + \log (z)$
24013	Simplify/Condense	2 log of x-4 log of x^2+1+4 log of x-1	$2 \log (x) - 4 \log (x^{2} + 1) + 4 \log (x - 1)$
24014	Simplify/Condense	2 log of x-6 log of x-5	$2 \log (x) - 6 \log (x - 5)$
24015	Simplify/Condense	2 log of x- log of x^2-9	$2 \log (x) - \log (x^{2} - 9)$
24016	Solve for x	x-3 square root of x-10=0	$x - 3 \sqrt{x} - 10 = 0$
24017	Simplify/Condense	2 log of x+3 log of w-2/3 log of y	$2 \log (x + 3) \log (w - \frac{2}{3}) \log (y)$
24018	Simplify/Condense	2 log of x-1- log of x^3-3 log of x-1	$2 \log (x - 1) - \log (x^{3}) - 3 \log (x - 1)$
24019	Simplify/Condense	3( log base 4 of z-4 log base 4 of y+2 log base 4 of x)	$3 (\log_{4} (z - 4 \log_{4} (y)) + 2 \log_{4} (x))$
24020	Simplify/Condense	3( log base 7 of x+3 log base 7 of y-5 log base 7 of z)	$3 (\log_{7} (x) + 3 \log_{7} (y) - 5 \log_{7} (z))$
24021	Simplify/Condense	3( log base b of x-3 log base b of z)+3 log base b of y	$3 (\log_{b} (x) - 3 \log_{b} (z)) + 3 \log_{b} (y)$
24022	Simplify/Condense	3( log of x+5 log of y-2 log of z)	$3 (\log (x) + 5 \log (y) - 2 \log (z))$
24023	Simplify/Condense	3* log base 9 of 10-2* log base 9 of 5	$3 \cdot \log_{9} (10) - 2 \cdot \log_{9} (5)$
24024	Simplify/Condense	7 natural log of x+2+2 natural log of x-2-5 natural log of x	$7 \ln (x + 2) + 2 \ln (x - 2) - 5 \ln (x)$
24025	Simplify/Condense	7 natural log of xy-3 natural log of yx	$7 \ln (x y) - 3 \ln (y x)$
24026	Simplify/Condense	7 log of 3a+ log of 3b-2 log of 3(8c)	$7 \log (3) a + \log (3) b - 2 \log (3) (8 c)$
24027	Simplify/Condense	7 log of 3u+4 log of 3v	$7 \log (3) u + 4 \log (3) v$
24028	Simplify/Condense	7 log of 4x-6 log of 4y- log of 4*7	$7 \log (4) x - 6 \log (4) y - \log (4) \cdot 7$
24029	Simplify/Condense	7 log of 5y-5 log of 5x	$7 \log (5 y) - 5 \log (5 x)$
24030	Simplify/Condense	7 log of x+5 log of y	$7 \log (x) + 5 \log (y)$
24031	Simplify/Condense	8 log base 2 of square root of 3x-2 log base 2 of 4/x+ log base 2 of 4	$8 \log_{2} (\sqrt{3 x - 2}) \log_{2} (\frac{4}{x}) + \log_{2} (4)$
24032	Solve for ?	square root of 3sin(theta)-cos(theta)=0	$\sqrt{3} \sin (θ) - \cos (θ) = 0$
24033	Simplify/Condense	8 log base 3 of 3x- log base 3 of x^8	$8 \log_{3} (3 x) - \log_{3} (x^{8})$
24034	Solve for x	9^x-8*3^x+7=0	$9^{x} - 8 \cdot 3^{x} + 7 = 0$
24035	Simplify/Condense	8 log base 4 of x-9 log base 4 of y+3 log base 4 of 3z	$8 \log_{4} (x) - 9 \log_{4} (y) + 3 \log_{4} (3 z)$
24036	Simplify/Condense	8 log base 5 of u+6 log base 5 of v	$8 \log_{5} (u) + 6 \log_{5} (v)$
24037	Simplify/Condense	8 log base 6 of square root of 8x-3- log base 6 of 4/x+ log base 6 of 4	$8 \log_{6} (\sqrt{8 x - 3}) - \log_{6} (\frac{4}{x}) + \log_{6} (4)$
24038	Simplify/Condense	8 log base 7 of square root of 5x+7- log base 7 of 8/x+ log base 7 of 8	$8 \log_{7} (\sqrt{5 x + 7}) - \log_{7} (\frac{8}{x}) + \log_{7} (8)$
24039	Solve for x	cos(3x)=1	$\cos (3 x) = 1$
24040	Simplify/Condense	8+ natural log of 27x-26-2 natural log of x	$8 + \ln (27 x) - 26 - 2 \ln (x)$
24041	Simplify/Condense	8 natural log of x+6-3 natural log of x	$8 \ln (x + 6) - 3 \ln (x)$
24042	Simplify/Condense	8 natural log of x+6-6 natural log of x	$8 \ln (x + 6) - 6 \ln (x)$
24043	Simplify/Condense	8 natural log of x+7-9 natural log of x	$8 \ln (x + 7) - 9 \ln (x)$
24044	Find the Vertex	f(x)=(x+2)^2-9	$f (x) = {(x + 2)}^{2} - 9$
24045	Simplify/Condense	8 natural log of x-12-9 natural log of x	$8 \ln (x - 12) - 9 \ln (x)$
24046	Simplify/Condense	8 log of 1/2+8 log of 2/3	$8 \log (\frac{1}{2}) + 8 \log (\frac{2}{3})$
24047	Simplify/Condense	8 log of 2 square root of 3x-2- log of 24/x	$8 \log (2) \sqrt{3 x - 2} - \log (2) \frac{4}{x}$
24048	Simplify/Condense	8 log of x+3 log of 4- log of n-1/2* log of b	$8 \log (x) + 3 \log (4) - \log (n) - \frac{1}{2} \cdot \log (b)$
24049	Simplify/Condense	9 log base 2 of cube root of x^2-4-2 log base 2 of x-2+ log base 2 of x	$9 \log_{2} (\sqrt[3]{x^{2} - 4}) - 2 \log_{2} (x - 2) + \log_{2} (x)$
24050	Simplify/Condense	9 log base 3 of cube root of y	$9 \log_{3} (\sqrt[3]{y})$
24051	Simplify/Condense	9-8 log base 4 of x/8-7	$9 - 8 \log_{4} (\frac{x}{8} - 7)$
24052	Simplify/Condense	9 natural log of 2+9 natural log of 3	$9 \ln (2) + 9 \ln (3)$
24053	Simplify/Condense	9 natural log of x-1/8 natural log of y	$9 \ln (x - \frac{1}{8}) \ln (y)$
24054	Simplify/Condense	9 natural log of x+2-5 natural log of x	$9 \ln (x + 2) - 5 \ln (x)$
24055	Simplify/Condense	9 natural log of x+4-6 natural log of x	$9 \ln (x + 4) - 6 \ln (x)$
24056	Simplify/Condense	9 natural log of x+5-7 natural log of x	$9 \ln (x + 5) - 7 \ln (x)$
24057	Simplify/Condense	9 natural log of x+9-4 natural log of x	$9 \ln (x + 9) - 4 \ln (x)$
24058	Simplify/Condense	9 log of by+8 log of bZ	$9 \log (b y) + 8 \log (b Z)$
24059	Simplify/Condense	cn* log of n/2	$c n \cdot \log (\frac{n}{2})$
24060	Simplify/Condense	e natural log of 2*4	eln $(2) \cdot 4$
24061	Simplify/Condense	e natural log of 2x+3	eln $(2 x + 3)$
24062	Simplify/Condense	f(x) natural log of (ax+b)^2	$f (x) \ln ({(a x + b)}^{2})$
24063	Simplify/Condense	f(x) log base 2 of 4x+12	$f (x) \log_{2} (4 x + 12)$
24064	Simplify/Condense	natural log of x^10 square root of 4-x	$\ln (x^{10} \sqrt{4 - x})$
24065	Simplify/Condense	natural log of e(x-7)	$\ln (e (x - 7))$
24066	Simplify/Condense	natural log of (e^x)^2+x^2	$\ln ({(e^{x})}^{2}) + x^{2}$
24067	Simplify/Condense	natural log of (x^2+1)^2 square root of x-1	$\ln ({(x^{2} + 1)}^{2} \sqrt{x - 1})$
24068	Simplify/Condense	natural log of 0.50/0.15	$\ln (\frac{0.5}{0.15})$
24069	Simplify/Condense	5 log base b of 3+3 log base b of 8	$5 \log_{b} (3 + 3) \log_{b} (8)$
24070	Simplify/Condense	5 log base b of x- log base b of y+1/4* log base b of z	$5 \log_{b} (x) - \log_{b} (y) + \frac{1}{4} \cdot \log_{b} (z)$
24071	Simplify/Condense	5 natural log of x^3+3 natural log of x^2	$5 \ln (x^{3}) + 3 \ln (x^{2})$
24072	Simplify/Condense	5 natural log of x-1/6* natural log of y	$5 \ln (x) - \frac{1}{6} \cdot \ln (y)$
24073	Simplify/Condense	5 natural log of M+3 natural log of N-2 natural log of P- natural log of R	$5 \ln (M) + 3 \ln (N) - 2 \ln (P) - \ln (R)$
24074	Simplify/Condense	4 log of x-4 log of x^2+1+5 log of x-1	$4 \log (x) - 4 \log (x^{2} + 1) + 5 \log (x - 1)$
24075	Simplify/Condense	4 log of x-5 log of y-1/2* log of z	$4 \log (x) - 5 \log (y) - \frac{1}{2} \cdot \log (z)$
24076	Simplify/Condense	4 log of x-1/4* log of x^2+1+4 log of x-1	$4 \log (x) - \frac{1}{4} \cdot \log (x^{2} + 1) + 4 \log (x - 1)$
24077	Simplify/Condense	4 log of x+5 log of y-( log of (1/z)^(1/4))	$4 \log (x) + 5 \log (y) - (\log ({(\frac{1}{z})}^{\frac{1}{4}}))$
24078	Simplify/Condense	4 log of 73+1/4( log of 7(r-1))-1/2*( log of 7r)	$4 \log (7) \cdot 3 + \frac{1}{4} \cdot (\log (7) (r - 1)) - \frac{1}{2} \cdot (\log (7) r)$
24079	Simplify/Condense	4 log of u+5 log of v	$4 \log (u) + 5 \log (v)$
24080	Simplify/Condense	5 log of x+6 log of x+7	$5 \log (x + 6) \log (x + 7)$
24081	Simplify/Condense	5 log of y+ log of 1- log of x-7	$5 \log (y) + \log (1) - \log (x - 7)$
24082	Simplify/Condense	6* log base 3 of 2	$6 \cdot \log_{3} (2)$
24083	Simplify/Condense	6 log of (a)^t- log of (a)^s	$6 \log ({(a)}^{t}) - \log ({(a)}^{s})$
24084	Simplify/Condense	6 log base 2 of square root of 5x-2- log base 2 of 3/x+ log base 2 of 3	$6 \log_{2} (\sqrt{5 x - 2}) - \log_{2} (\frac{3}{x}) + \log_{2} (3)$
24085	Simplify/Condense	6 log base 3 of cube root of y	$6 \log_{3} (\sqrt[3]{y})$
24086	Simplify/Condense	6 log base 3 of u+6 log base 3 of v	$6 \log_{3} (u + 6 \log_{3} (v))$
24087	Simplify/Condense	6 log base 3 of w-1/5* log base 3 of z+5 log base 3 of x	$6 \log_{3} (w) - \frac{1}{5} \cdot \log_{3} (z) + 5 \log_{3} (x)$
24088	Simplify/Condense	6 log base 3 of x-1/2* log base 3 of w+5 log base 3 of z	$6 \log_{3} (x) - \frac{1}{2} \cdot \log_{3} (w) + 5 \log_{3} (z)$
24089	Simplify/Condense	6 log base 4 of x-1/2* log base 4 of y+4 log base 4 of z	$6 \log_{4} (x) - \frac{1}{2} \cdot \log_{4} (y) + 4 \log_{4} (z)$
24090	Simplify/Condense	6 log base 5 of y-6-3 log base 5 of y+8	$6 \log_{5} (y - 6) - 3 \log_{5} (y + 8)$
24091	Simplify/Condense	6 log base 6 of 2- log base 6 of x- log base 6 of 23	$6 \log_{6} (2) - \log_{6} (x) - \log_{6} (23)$
24092	Simplify/Condense	6 log base 6 of 7	$6 \log_{6} (7)$
24093	Simplify/Condense	6 log base 7 of square root of 3x-8- log base 7 of 6/x+ log base 7 of 6	$6 \log_{7} (\sqrt{3 x - 8}) - \log_{7} (\frac{6}{x}) + \log_{7} (6)$
24094	Simplify/Condense	6 log base 7 of w-4-5 log base 7 of w+6	$6 \log_{7} (w - 4) - 5 \log_{7} (w + 6)$
24095	Simplify/Condense	6 log base c of m-2/3* log base c of n+1/5* log base c of j-3 log base c of k	$6 \log_{c} (m) - \frac{2}{3} \cdot \log_{c} (n) + \frac{1}{5} \cdot \log_{c} (j) - 3 \log_{c} (k)$
24096	Simplify/Condense	6 log base c of w-4-4 log base c of w+3	$6 \log_{c} (w - 4) - 4 \log_{c} (w + 3)$
24097	Simplify/Condense	600 log of 2	$600 \log (2)$
24098	Simplify/Condense	61 log of x+4 log of x+6	$61 \log (x + 4) \log (x + 6)$
24099	Simplify/Condense	6 natural log of e^9	$6 \ln (e^{9})$
24100	Simplify/Condense	6 natural log of x-1/3 natural log of y	$6 \ln (x - \frac{1}{3}) \ln (y)$