Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23301	Simplify/Condense	log base 5 of 5^75- log base 5 of 5^2*3	$\log_{5} (5^{75}) - \log_{5} (5^{2}) \cdot 3$
23302	Simplify/Condense	log base 5 of 5^(xy)	$\log_{5} (5^{x y})$
23303	Simplify/Condense	log base 5 of log base 4 of log base 3 of x*0	$\log_{5} (\log_{4} (\log_{3} (x))) \cdot 0$
23304	Simplify/Condense	log base 5 of square root of 3x	$\log_{5} (\sqrt{3 x})$
23305	Simplify/Condense	log base 5 of square root of x- log base 5 of x^4	$\log_{5} (\sqrt{x}) - \log_{5} (x^{4})$
23306	Simplify/Condense	log base 5 of cube root of 5	$\log_{5} (\sqrt[3]{5})$
23307	Solve for x	2sin(x)cos(x)=cos(x)	$2 \sin (x) \cos (x) = \cos (x)$
23308	Simplify/Condense	log base 5 of 125/( square root of x+4)	$\log_{5} (\frac{125}{\sqrt{x + 4}})$
23309	Simplify/Condense	log base 5 of 125/( square root of x+7)	$\log_{5} (\frac{125}{\sqrt{x + 7}})$
23310	Simplify/Condense	log base 5 of 25/y	$\log_{5} (\frac{25}{y})$
23311	Simplify/Condense	log base 5 of 25x^4 fourth root of y^3	$\log_{5} (25 x^{4} \sqrt[4]{y^{3}})$
23312	Simplify/Condense	log base 5 of 5/1	$\log_{5} (\frac{5}{1})$
23313	Simplify/Condense	log base 4 of x-8- log base 4 of x-4	$\log_{4} (x - 8) - \log_{4} (x - 4)$
23314	Simplify/Condense	log base 4 of y-(2 log base 4 of x+ log base 4 of z)	$\log_{4} (y) - (2 \log_{4} (x + \log_{4} (z)))$
23315	Simplify/Condense	log base 4 of z- log base 4 of y	$\log_{4} (z) - \log_{4} (y)$
23316	Simplify/Condense	log base 49 of square root of 7	$\log_{49} (\sqrt{7})$
23317	Simplify/Condense	log base 49 of 81	$\log_{49} (81)$
23318	Simplify/Condense	log base 5 of 0.09	$\log_{5} (0.09)$
23319	Simplify/Condense	log base 5 of (a^2b^3)/( square root of c)	$\log_{5} (\frac{a^{2} b^{3}}{\sqrt{c}})$
23320	Simplify/Condense	log base 5 of ( square root of 5)/25+e^( natural log of 3+ natural log of 4)	$\log_{5} (\frac{\sqrt{5}}{25}) + e^{\ln (3) + \ln (4)}$
23321	Simplify/Condense	log base 5 of ( cube root of x^2y)/25	$\log_{5} (\frac{\sqrt[3]{x^{2} y}}{25})$
23322	Simplify/Condense	log base 5 of 1/( square root of 5)	$\log_{5} (\frac{1}{\sqrt{5}})$
23323	Simplify/Condense	log base 5 of 1/( fourth root of 125)	$\log_{5} (\frac{1}{\sqrt[4]{125}})$
23324	Simplify/Condense	log base 5 of 1/1250	$\log_{5} (\frac{1}{1250})$
23325	Simplify/Condense	- log base 4 of e-(pitan(pix))/( natural log of 4)	$- \log_{4} (e) - \frac{π \tan (π x)}{\ln (4)}$
23326	Simplify/Condense	log base 4 of s+7 log base 4 of v+ log base 4 of z	$\log_{4} (s) + 7 \log_{4} (v) + \log_{4} (z)$
23327	Simplify/Condense	log base 4 of w-1/2*( log base 4 of x+5 log base 4 of y)+2 log base 4 of z	$\log_{4} (w) - \frac{1}{2} \cdot (\log_{4} (x) + 5 \log_{4} (y)) + 2 \log_{4} (z)$
23328	Simplify/Condense	log base 5 of 11- log base 5 of 9/11	$\log_{5} (11) - \log_{5} (\frac{9}{11})$
23329	Simplify/Condense	log base 5 of 12- log base 5 of 20- log base 5 of 15	$\log_{5} (12) - \log_{5} (20) - \log_{5} (15)$
23330	Simplify/Condense	log base 5 of 12- log base 5 of 3	$\log_{5} (12) - \log_{5} (3)$
23331	Simplify/Condense	log base 5 of 10+5 log base 5 of 7-2 log base 5 of 3	$\log_{5} (10) + 5 \log_{5} (7) - 2 \log_{5} (3)$
23332	Simplify/Condense	log base 5 of 125+ log base 5 of 9	$\log_{5} (125) + \log_{5} (9)$
23333	Simplify/Condense	log base 5 of 125x^3	$\log_{5} (125 x^{3})$
23334	Simplify/Condense	log base 5 of 1250- log base 5 of 2	$\log_{5} (1250) - \log_{5} (2)$
23335	Simplify/Condense	log base 5 of 14- log base 5 of 2	$\log_{5} (14) - \log_{5} (2)$
23336	Simplify/Condense	log base 5 of 140- log base 5 of 50- log base 5 of 70	$\log_{5} (140) - \log_{5} (50) - \log_{5} (70)$
23337	Simplify/Condense	log base 4 of 8+ log base 4 of 3	$\log_{4} (8) + \log_{4} (3)$
23338	Simplify/Condense	log base 5 of x^2-25- log base 5 of x-5	$\log_{5} (x^{2} - 25) - \log_{5} (x - 5)$
23339	Simplify/Condense	log base 5 of 4+3 log base 5 of x- log base 5 of 7y	$\log_{5} (4) + 3 \log_{5} (x) - \log_{5} (7 y)$
23340	Simplify/Condense	log base 5 of 40- log base 5 of 8	$\log_{5} (40) - \log_{5} (8)$
23341	Solve for n	7^(n+3)=3^n	$7^{n + 3} = 3^{n}$
23342	Simplify/Condense	log base 5 of 50- log base 5 of 2	$\log_{5} (50) - \log_{5} (2)$
23343	Simplify/Condense	log base 5 of 500- log base 5 of 4	$\log_{5} (500) - \log_{5} (4)$
23344	Simplify/Condense	log base 5 of 36- log base 5 of 20- log base 5 of 45	$\log_{5} (36) - \log_{5} (20) - \log_{5} (45)$
23345	Simplify/Condense	log base 5 of 3- log base 5 of t	$\log_{5} (3) - \log_{5} (t)$
23346	Simplify/Condense	log base 5 of 302	$\log_{5} (302)$
23347	Simplify/Condense	log base 5 of 32- log base 5 of 20+ log base 5 of 40	$\log_{5} (32) - \log_{5} (20) + \log_{5} (40)$
23348	Simplify/Condense	log base 5 of 33	$\log_{5} (33)$
23349	Simplify/Condense	log base 5 of 175	$\log_{5} (175)$
23350	Simplify/Condense	log base 5 of 2+ log base 5 of 4- log base 5 of 5000	$\log_{5} (2) + \log_{5} (4) - \log_{5} (5000)$
23351	Simplify/Condense	log base 5 of 2+ log base 5 of 7	$\log_{5} (2) + \log_{5} (7)$
23352	Simplify/Condense	log base 5 of 20- log base 5 of 4	$\log_{5} (20) - \log_{5} (4)$
23353	Simplify/Condense	log base 5 of 20- log base 5 of 50- log base 5 of 10	$\log_{5} (20) - \log_{5} (50) - \log_{5} (10)$
23354	Simplify/Condense	log base 5 of 20+ log base 5 of 10-3 log base 5 of 2	$\log_{5} (20) + \log_{5} (10) - 3 \log_{5} (2)$
23355	Simplify/Condense	log base 6 of x^2+12x+35- log base 6 of x+7	$\log_{6} (x^{2} + 12 x + 35) - \log_{6} (x + 7)$
23356	Simplify/Condense	log base 6 of x^2-36- log base 6 of x-6	$\log_{6} (x^{2} - 36) - \log_{6} (x - 6)$
23357	Simplify/Condense	log base 6 of x^2-64- log base 6 of x-8	$\log_{6} (x^{2} - 64) - \log_{6} (x - 8)$
23358	Simplify/Condense	log base 6 of Z^3	$\log_{6} (Z^{3})$
23359	Simplify/Condense	log base 5 of 8x-2 log base 5 of x+6	$\log_{5} (8 x) - 2 \log_{5} (x + 6)$
23360	Simplify/Condense	log base 6 of 11y	$\log_{6} (11 y)$
23361	Simplify/Condense	log base 6 of 12- log base 6 of 3	$\log_{6} (12) - \log_{6} (3)$
23362	Simplify/Condense	log base 6 of 12x	$\log_{6} (12 x)$
23363	Simplify/Condense	log base 6 of 14*(12)	$\log_{6} (14) \cdot (12)$
23364	Simplify/Condense	log base 6 of 144- log base 6 of 12+ log base 6 of 3	$\log_{6} (144) - \log_{6} (12) + \log_{6} (3)$
23365	Simplify/Condense	log base 6 of 17	$\log_{6} (17)$
23366	Simplify/Condense	log base 6 of 36+12+ log base 6 of 36-12	$\log_{6} (36 + 12) + \log_{6} (36 - 12)$
23367	Simplify/Condense	log base 6 of 216x	$\log_{6} (216) x$
23368	Simplify/Condense	log base 6 of 216x	$\log_{6} (216 x)$
23369	Simplify/Condense	log base 6 of 10	$\log_{6} (10)$
23370	Simplify/Condense	log base 6 of 648+ log base 6 of 2	$\log_{6} (648) + \log_{6} (2)$
23371	Simplify/Condense	log base 6 of 7x+3y	$\log_{6} (7 x + 3 y)$
23372	Simplify/Condense	log base 6 of 8.5-3	$\log_{6} (8.5) - 3$
23373	Simplify/Condense	log base 6 of 81	$\log_{6} (81)$
23374	Simplify/Condense	log base 6 of 24+ log base 6 of 3- log base 6 of 2	$\log_{6} (24) + \log_{6} (3) - \log_{6} (2)$
23375	Convert to Interval Notation	\|x-4\|<=2	$\| x - 4 \| \leq 2$
23376	Simplify/Condense	log base 6 of 3- log base 6 of 12	$\log_{6} (3) - \log_{6} (12)$
23377	Simplify/Condense	log base 6 of 35- log base 6 of 5	$\log_{6} (35) - \log_{6} (5)$
23378	Simplify/Condense	log base 6 of 36- log base 6 of square root of x+1	$\log_{6} (36) - \log_{6} (\sqrt{x + 1})$
23379	Simplify/Condense	log base 6 of 36- log base 6 of 6	$\log_{6} (36) - \log_{6} (6)$
23380	Simplify/Condense	log base 6 of 36+ log base 6 of 30- log base 6 of 5	$\log_{6} (36) + \log_{6} (30) - \log_{6} (5)$
23381	Find the Exact Value	cos(arcsin(-1/2))	$\cos (\arcsin (- \frac{1}{2}))$
23382	Simplify/Condense	log base 5 of 3w	$\log_{5} (3 w)$
23383	Simplify/Condense	log base 5 of 750- log base 5 of 6	$\log_{5} (750) - \log_{5} (6)$
23384	Simplify/Condense	log base 5 of 625- log base 5 of y	$\log_{5} (625) - \log_{5} (y)$
23385	Simplify/Condense	log base 5 of 625e^( natural log of 5^2)+3(2 log base 2 of 3)	$\log_{5} (625 \cdot e^{\ln (5^{2})}) + 3 \cdot (2 \log_{2} (3))$
23386	Simplify/Condense	log base 5 of 625x	$\log_{5} (625 x)$
23387	Simplify/Condense	log base 5 of 65- log base 5 of 13	$\log_{5} (65) - \log_{5} (13)$
23388	Simplify/Condense	log base 5 of 7- log base 5 of 14	$\log_{5} (7) - \log_{5} (14)$
23389	Simplify/Condense	log base 5 of 7+2 log base 5 of x+ log base 5 of y	$\log_{5} (7) + 2 \log_{5} (x) + \log_{5} (y)$
23390	Simplify/Condense	log base 5 of 7*11	$\log_{5} (7 \cdot 11)$
23391	Simplify/Condense	log base 5 of 7.5- log base 5 of 2.5	$\log_{5} (7.5) - \log_{5} (2.5)$
23392	Simplify/Condense	log base 5 of 99- log base 5 of 9	$\log_{5} (99) - \log_{5} (9)$
23393	Simplify/Condense	log base 5 of a+ log base 5 of b+6 log base 5 of c	$\log_{5} (a) + \log_{5} (b) + 6 \log_{5} (c)$
23394	Simplify/Condense	log base 5 of natural log of 25	$\log_{5} (\ln (25))$
23395	Simplify/Condense	log base 5 of 8* log base 8 of 0.04	$\log_{5} (8) \cdot \log_{8} (0.04)$
23396	Simplify/Condense	log base 5 of 8- log base 5 of 4- log base 5 of 50	$\log_{5} (8) - \log_{5} (4) - \log_{5} (50)$
23397	Simplify/Condense	log base 5 of 8- log base 5 of t	$\log_{5} (8) - \log_{5} (t)$
23398	Simplify/Condense	log base 5 of x- log base 5 of 2x+3+ log base 5 of 2x-3	$\log_{5} (x) - \log_{5} (2 x + 3) + \log_{5} (2 x - 3)$
23399	Simplify/Condense	log base 5 of x+ log base 5 of 4x+1=1	$\log_{5} (x) + \log_{5} (4 x + 1) = 1$
23400	Simplify/Condense	log base 5 of x-3 log base 5 of x-2+1/2* log base 5 of 6-x^2-2 log base 5 of x+3	$\log_{5} (x) - 3 \log_{5} (x - 2) + \frac{1}{2} \cdot \log_{5} (6 - x^{2}) - 2 \log_{5} (x + 3)$