Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21401	Simplify/Condense	log base 2 of 32- log base 2 of 8	$\log_{2} (32) - \log_{2} (8)$
21402	Simplify/Condense	log base 2 of 32-2 log base 2 of 2	$\log_{2} (32) - 2 \log_{2} (2)$
21403	Simplify/Condense	log base 2 of 35	$\log_{2} (35)$
21404	Simplify/Condense	log base 2 of 3x-5=4	$\log_{2} (3 x - 5) = 4$
21405	Simplify/Condense	log base 2 of 3z+ log base 2 of y+3 log base 2 of z	$\log_{2} (3 z) + \log_{2} (y) + 3 \log_{2} (z)$
21406	Simplify/Condense	log base 2 of 4000	$\log_{2} (4000)$
21407	Simplify/Condense	log base 2 of 43	$\log_{2} (43)$
21408	Simplify/Condense	log base 2 of 432	$\log_{2} (432)$
21409	Simplify/Condense	log base 2 of 48-1/3* log base 2 of 27	$\log_{2} (48) - \frac{1}{3} \cdot \log_{2} (27)$
21410	Simplify/Condense	log base 2 of 48+ log base 2 of 6- log base 2 of 9	$\log_{2} (48) + \log_{2} (6) - \log_{2} (9)$
21411	Simplify/Condense	log base 2 of 48x+80y	$\log_{2} (48 x + 80 y)$
21412	Simplify/Condense	log base 2 of 49	$\log_{2} (49)$
21413	Simplify/Condense	log base 2 of 4x-4- log base 2 of 3x^2+x-4+ log base 2 of 3x+4	$\log_{2} (4 x - 4) - \log_{2} (3 x^{2} + x - 4) + \log_{2} (3 x + 4)$
21414	Simplify/Condense	log base 2 of 5+ log base 2 of 9	$\log_{2} (5) + \log_{2} (9)$
21415	Simplify/Condense	log base 2 of 5x^2+4 log base 2 of 3x	$\log_{2} (5 x^{2}) + 4 \log_{2} (3 x)$
21416	Simplify/Condense	log base 2 of 512	$\log_{2} (512)$
21417	Simplify/Condense	log base 2 of 56* square root of 2-( log base 2 of (7)^2+1- log base 2 of 49)	$\log_{2} (56 \cdot \sqrt{2}) - (\log_{2} ({(7)}^{2}) + 1 - \log_{2} (49))$
21418	Simplify/Condense	log base 2 of 16(x-3)	$\log_{2} (16) (x - 3)$
21419	Simplify/Condense	log base 2 of 6- log base 6 of 8	$\log_{2} (6) - \log_{6} (8)$
21420	Simplify/Condense	log base 2 of 6- log base 2 of 15- log base 2 of 20	$\log_{2} (6) - \log_{2} (15) - \log_{2} (20)$
21421	Simplify/Condense	log base 2 of 6- log base 2 of 18+ log base 2 of 96	$\log_{2} (6) - \log_{2} (18) + \log_{2} (96)$
21422	Simplify/Condense	log base 2 of 6-1.6	$\log_{2} (6) - 1.6$
21423	Simplify/Condense	log base 2 of 6.81x*10^-6	$\log_{2} (6.81 x \cdot 10^{- 6})$
21424	Simplify/Condense	log base 2 of 60- log base 2 of 30	$\log_{2} (60) - \log_{2} (30)$
21425	Simplify/Condense	log base 2 of 7+11	$\log_{2} (7) + 11$
21426	Simplify/Condense	log base 2 of 75- log base 2 of 12- log base 2 of 50	$\log_{2} (75) - \log_{2} (12) - \log_{2} (50)$
21427	Simplify/Condense	log base 2 of 77- log base 2 of 11	$\log_{2} (77) - \log_{2} (11)$
21428	Simplify/Condense	log base 2 of 7- log base 2 of 11	$\log_{2} (7) - \log_{2} (11)$
21429	Simplify/Condense	log base 2 of x^2y^(1/2)	$\log_{2} (x^{2} y^{\frac{1}{2}})$
21430	Simplify/Condense	log base 2 of x^2-16*16	$\log_{2} (x^{2} - 16) \cdot 16$
21431	Simplify/Condense	log base 2 of x^2-4- log base 2 of x-2	$\log_{2} (x^{2} - 4) - \log_{2} (x - 2)$
21432	Simplify/Condense	log base 2 of x^2-8x+15- log base 2 of x^2-25	$\log_{2} (x^{2} - 8 x + 15) - \log_{2} (x^{2} - 25)$
21433	Simplify/Condense	log base 2 of (ab)/c	$\log_{2} (\frac{a b}{c})$
21434	Simplify/Condense	log base 2 of log base 4 of 16	$\log_{2} (\log_{4} (16))$
21435	Simplify/Condense	- log base 2 of 5/11+ log base 2 of 5	$- \log_{2} (\frac{5}{11}) + \log_{2} (5)$
21436	Simplify/Condense	log base 2 of 6/(15*20)	$\log_{2} (\frac{6}{15 \cdot 20})$
21437	Simplify/Condense	log base 2 of 7^2(4^7)	$\log_{2} (7^{2}) (4^{7})$
21438	Simplify/Condense	log base 2 of 7^2*4^7	$\log_{2} (7^{2} \cdot 4^{7})$
21439	Simplify/Condense	log base 2 of 8/( square root of 32)	$\log_{2} (\frac{8}{\sqrt{32}})$
21440	Simplify/Condense	log base 2 of 1/256	$\log_{2} (\frac{1}{256})$
21441	Simplify/Condense	log base 2 of 1/12	$\log_{2} (\frac{1}{12})$
21442	Simplify/Condense	log base 16 of 8+ log base 16 of 2	$\log_{16} (8) + \log_{16} (2)$
21443	Simplify/Condense	log base 16 of x+ log base 4 of x	$\log_{16} (x) + \log_{4} (x)$
21444	Simplify/Condense	log base 169 of 3x+7- log base 169 of 5x-9	$\log_{169} (3 x + 7) - \log_{169} (5 x - 9)$
21445	Simplify/Condense	log base 17 of 1/( square root of 17)	$\log_{17} (\frac{1}{\sqrt{17}})$
21446	Simplify/Condense	log base 17 of 289	$\log_{17} (289)$
21447	Simplify/Condense	log base 18 of 3+ log base 18 of 6	$\log_{18} (3) + \log_{18} (6)$
21448	Simplify/Condense	log base 2 of 1/9	$\log_{2} (\frac{1}{9})$
21449	Simplify/Condense	log base 2 of 1/512	$\log_{2} (\frac{1}{512})$
21450	Simplify/Condense	log base 2 of 10- log base 2 of 30+ log base 2 of 24	$\log_{2} (10) - \log_{2} (30) + \log_{2} (24)$
21451	Simplify/Condense	log base 2 of 10- log base 2 of 30+ log base 2 of 96	$\log_{2} (10) - \log_{2} (30) + \log_{2} (96)$
21452	Simplify/Condense	log base 2 of 10- log base 2 of 35+ log base 2 of 56	$\log_{2} (10) - \log_{2} (35) + \log_{2} (56)$
21453	Simplify/Condense	log base 2 of 10- log base 2 of 40	$\log_{2} (10) - \log_{2} (40)$
21454	Simplify/Condense	log base 2 of 10- log base 2 of 40+ log base 2 of 32	$\log_{2} (10) - \log_{2} (40) + \log_{2} (32)$
21455	Simplify/Condense	log base 2 of 10- log base 2 of 5=x	$\log_{2} (10) - \log_{2} (5) = x$
21456	Simplify/Condense	log base 2 of 12- log base 2 of 3	$\log_{2} (12) - \log_{2} (3)$
21457	Simplify/Condense	log base 2 of 125	$\log_{2} (125)$
21458	Simplify/Condense	log base 2 of 14	$\log_{2} (14)$
21459	Simplify/Condense	log base 2 of 15	$\log_{2} (15)$
21460	Simplify/Condense	log base 2 of 15- log base 2 of 5	$\log_{2} (15) - \log_{2} (5)$
21461	Simplify/Condense	log base 2 of 1024*25	$\log_{2} (1024 \cdot 25)$
21462	Simplify/Condense	log base 2 of 11+ log base 2 of 9	$\log_{2} (11) + \log_{2} (9)$
21463	Simplify/Condense	log base 2 of 112- log base 2 of 7	$\log_{2} (112) - \log_{2} (7)$
21464	Simplify/Condense	log base 2 of 16+ log base 2 of 64	$\log_{2} (16) + \log_{2} (64)$
21465	Simplify/Condense	log base 2 of 16-3 log base 2 of 2	$\log_{2} (16) - 3 \log_{2} (2)$
21466	Simplify/Condense	log base 2 of 16e^( natural log of 8)+1/2*e^( natural log of 3-2 natural log of 5)	$\log_{2} (16 e^{\ln (8)}) + \frac{1}{2} \cdot e^{\ln (3 - 2 \ln (5))}$
21467	Simplify/Condense	log base 2 of 2 square root of 3/5	$\log_{2} (2 \sqrt{\frac{3}{5}})$
21468	Simplify/Condense	log base 2 of 2x^2+12x+18	$\log_{2} (2 x^{2} + 12 x + 18)$
21469	Simplify/Condense	log base 2 of 21- log base 2 of 7	$\log_{2} (21) - \log_{2} (7)$
21470	Simplify/Condense	log base 2 of 224- log base 2 of 7- log base 2 of 8	$\log_{2} (224) - \log_{2} (7) - \log_{2} (8)$
21471	Simplify/Condense	log base 2 of 24- log base 2 of 3	$\log_{2} (24) - \log_{2} (3)$
21472	Simplify/Condense	log base 2 of 256	$\log_{2} (256)$
21473	Simplify/Condense	log base 2 of 268*151	$\log_{2} (268 \cdot 151)$
21474	Simplify/Condense	log base 2 of 27- log base 2 of 3- log base 2 of 36	$\log_{2} (27) - \log_{2} (3) - \log_{2} (36)$
21475	Simplify/Condense	log base 2 of 3.8	$\log_{2} (3.8)$
21476	Simplify/Condense	log base 2 of 2(7)+2-2	$\log_{2} (2 (7) + 2) - 2$
21477	Simplify/Condense	log base 2 of 2* log base 2 of 4* log base 2 of 6* log base 2 of 2^n	$\log_{2} (2) \cdot \log_{2} (4) \cdot \log_{2} (6) \cdot \log_{2} (2^{n})$
21478	Simplify/Condense	log base 2 of 2x-2 log base 2 of y+ log base 2 of z	$\log_{2} (2 x) - 2 \log_{2} (y) + \log_{2} (z)$
21479	Simplify/Condense	log of (b)^54	$\log ({(b)}^{54})$
21480	Simplify/Condense	( log of c)/m*n	$\frac{\log (c)}{m} \cdot n$
21481	Simplify/Condense	( natural log of 0.27/0.30)/30*(180)	$\frac{\ln (\frac{0.27}{0.3})}{30} \cdot (180)$
21482	Simplify/Condense	( natural log of 1/2)/5730	$\frac{\ln (\frac{1}{2})}{5730}$
21483	Simplify/Condense	e^( natural log of x+2y)	$e^{\ln (x + 2 y)}$
21484	Simplify/Condense	log of 1/(10x)	$\log (\frac{1}{10 x})$
21485	Simplify/Condense	log of 1/7	$\log (\frac{1}{7})$
21486	Simplify/Condense	log of 10/x	$\log (\frac{10}{x})$
21487	Simplify/Condense	log of 10^4.8	$\log (10^{4.8})$
21488	Simplify/Condense	log of 7/2	$\log (\frac{7}{2})$
21489	Simplify/Condense	log of cube root of 81	$\log (\sqrt[3]{81})$
21490	Simplify/Condense	log of x^2-16-3 log of x+4+2 log of x	$\log (x^{2} - 16) - 3 \log (x + 4) + 2 \log (x)$
21491	Simplify/Condense	log of x^2-16-6 log of x+4+5 log of x	$\log (x^{2} - 16) - 6 \log (x + 4) + 5 \log (x)$
21492	Simplify/Condense	log of x^2-49-3 log of x+7+2 log of x	$\log (x^{2} - 49) - 3 \log (x + 7) + 2 \log (x)$
21493	Simplify/Condense	log of x^2*49-3 log of x+7+5 log of x	$\log (x^{2} \cdot 49) - 3 \log (x + 7) + 5 \log (x)$
21494	Simplify/Condense	log of x^2-49-7 log of x+7+6 log of x	$\log (x^{2} - 49) - 7 \log (x + 7) + 6 \log (x)$
21495	Simplify/Condense	log of x^6+ log of (x-7)^5	$\log (x^{6}) + \log ({(x - 7)}^{5})$
21496	Simplify/Condense	log of 30- log of 3	$\log (30) - \log (3)$
21497	Simplify/Condense	log of 35	$\log (35)$
21498	Simplify/Condense	log of 4+ log of 3- log of 12000	$\log (4) + \log (3) - \log (12000)$
21499	Simplify/Condense	log of 1000	$\log (1000)$
21500	Simplify/Condense	log of 1000x^4	$\log (1000 x^{4})$