Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21501	Simplify/Condense	log of 1000000- log of 10000	$\log (1000000) - \log (10000)$
21502	Simplify/Condense	log of 13	$\log (13)$
21503	Evaluate the Limit	limit as x approaches 0 of 1/(x-2)	$lim_{x \to 0} \frac{1}{x - 2}$
21504	Simplify/Condense	log of 6- log of 7	$\log (6) - \log (7)$
21505	Simplify/Condense	log of 6+2 log of y	$\log (6) + 2 \log (y)$
21506	Simplify/Condense	log of 60+ log of 5/3	$\log (60) + \log (\frac{5}{3})$
21507	Simplify/Condense	log of 600+ log of 5/3	$\log (600) + \log (\frac{5}{3})$
21508	Simplify/Condense	log of 8+ log of 5	$\log (8) + \log (5)$
21509	Simplify/Condense	log of 800+ log of 5/4	$\log (800) + \log (\frac{5}{4})$
21510	Simplify/Condense	log of 81000000	$\log (81000000)$
21511	Simplify/Condense	log of 42	$\log (42)$
21512	Simplify/Condense	log of 280- log of 20	$\log (280) - \log (20)$
21513	Simplify/Condense	log of 10* log of 11	$\log (10) \cdot \log (11)$
21514	Simplify/Condense	log of 10x	$\log (10) x$
21515	Simplify/Condense	log base 180 of 18+ log base 18 of 10	$\log_{180} (18) + \log_{18} (10)$
21516	Simplify/Condense	log base 16 of 64	$\log_{16} (64)$
21517	Simplify/Condense	log base 12 of 81+ log base 12 of 256	$\log_{12} (81) + \log_{12} (256)$
21518	Simplify/Condense	log base 14 of 70	$\log_{14} (70)$
21519	Simplify/Condense	log base 15 of 56	$\log_{15} (56)$
21520	Simplify/Condense	log base 15 of 9+ log base 15 of 25	$\log_{15} (9) + \log_{15} (25)$
21521	Simplify/Condense	log base 15 of x+30	$\log_{15} (x + 30)$
21522	Simplify/Condense	log base 16 of 1/4	$\log_{16} (\frac{1}{4})$
21523	Simplify/Condense	log base 16 of (15 square root of x)/y	$\log_{16} (\frac{15 \sqrt{x}}{y})$
21524	Simplify/Condense	log base 16 of 2^1.9+e^(3 natural log of 10)	$\log_{16} (2^{1.9}) + e^{3 \ln (10)}$
21525	Simplify/Condense	log base 16 of 0.63	$\log_{16} (0.63)$
21526	Simplify/Condense	log base 16 of 14	$\log_{16} (14)$
21527	Simplify/Condense	log of x+5+2 log of x	$\log (x + 5) + 2 \log (x)$
21528	Simplify/Condense	log of z+ log of z-2	$\log (z) + \log (z - 2)$
21529	Simplify/Condense	log base 100 of 75	$\log_{100} (75)$
21530	Simplify/Condense	log base 1000 of 32	$\log_{1000} (32)$
21531	Simplify/Condense	log base 108 of 6+ log base 108 of 18	$\log_{108} (6) + \log_{108} (18)$
21532	Simplify/Condense	log base 11 of ( fifth root of 12)/(s^2r)	$\log_{11} (\frac{\sqrt[5]{12}}{s^{2} r})$
21533	Simplify/Condense	log base 11 of 1/( square root of 11)	$\log_{11} (\frac{1}{\sqrt{11}})$
21534	Simplify/Condense	log base 11 of 1331	$\log_{11} (1331)$
21535	Simplify/Condense	log base 11 of 2+ log base 11 of x+6+ log base 11 of y+4	$\log_{11} (2) + \log_{11} (x + 6) + \log_{11} (y + 4)$
21536	Simplify/Condense	log base 11 of 22- log base 11 of 2	$\log_{11} (22) - \log_{11} (2)$
21537	Simplify/Condense	log base 11 of y=2	$\log_{11} (y) = 2$
21538	Simplify/Condense	log base 12 of 20+ log base 12 of 6- log base 12 of 2	$\log_{12} (20) + \log_{12} (6) - \log_{12} (2)$
21539	Simplify/Condense	log base 12 of 24- log base 12 of 6+ log base 12 of 36	$\log_{12} (24) - \log_{12} (6) + \log_{12} (36)$
21540	Simplify/Condense	log base 12 of 3+ log base 12 of 4	$\log_{12} (3) + \log_{12} (4)$
21541	Simplify/Condense	log base 12 of 9+ log base 12 of 16x- log base 12 of x	$\log_{12} (9) + \log_{12} (16 x) - \log_{12} (x)$
21542	Simplify/Condense	log base 123 of 257	$\log_{123} (257)$
21543	Simplify/Condense	log base 125 of 1/3	$\log_{125} (\frac{1}{3})$
21544	Simplify/Condense	log base 128 of 16^k	$\log_{128} (16^{k})$
21545	Simplify/Condense	log base 13 of x log base 13 of 12x-1=1	$\log_{13} (x) \log_{13} (12 x - 1) = 1$
21546	Simplify/Condense	( natural log of 1/7)/(2 natural log of 2)	$\frac{\ln (\frac{1}{7})}{2 \ln (2)}$
21547	Simplify/Condense	( natural log of 11/4)/( natural log of 2)+2	$\frac{\ln (\frac{11}{4})}{\ln (2)} + 2$
21548	Simplify/Condense	( natural log of 16/3)/15	$\frac{\ln (\frac{16}{3})}{15}$
21549	Simplify/Condense	( natural log of 16^(6x))/( natural log of 9)	$\frac{\ln (16^{6 x})}{\ln (9)}$
21550	Simplify/Condense	( natural log of 26.6/18.5)/0.1735	$\frac{\ln (\frac{26.6}{18.5})}{0.1735}$
21551	Simplify/Condense	( natural log of 323/283)/( natural log of 1.011)+1997	$\frac{\ln (\frac{323}{283})}{\ln (1.011)} + 1997$
21552	Simplify/Condense	( natural log of 363/282)/( natural log of 1.010)+1995	$\frac{\ln (\frac{363}{282})}{\ln (1.01)} + 1995$
21553	Simplify/Condense	( natural log of 4/9)/(8 natural log of 6)	$\frac{\ln (\frac{4}{9})}{8 \ln (6)}$
21554	Simplify/Condense	( natural log of 5/60)/-0.3	$\frac{\ln (\frac{5}{60})}{- 0.3}$
21555	Simplify/Condense	( natural log of e^2- log base 3 of 81)/( natural log of e^(x^2)- log of 10)	$\frac{\ln (e^{2}) - \log_{3} (81)}{\ln (e^{x^{2}}) - \log (10)}$
21556	Simplify/Condense	natural log of (x/(x^2-16))^4	$\ln ({(\frac{x}{x^{2} - 16})}^{4})$
21557	Simplify/Condense	natural log of (x/e)^(6x)	$\ln ({(\frac{x}{e})}^{6 x})$
21558	Simplify/Condense	natural log of ((y-1)/4)^2	$\ln ({(\frac{y - 1}{4})}^{2})$
21559	Simplify/Condense	( natural log of 0.5)/-0.097	$\frac{\ln (0.5)}{- 0.097}$
21560	Simplify/Condense	( natural log of 0.69)/-0.0408	$\frac{\ln (0.69)}{- 0.0408}$
21561	Simplify/Condense	( natural log of 0.7)/( natural log of 6)	$\frac{\ln (0.7)}{\ln (6)}$
21562	Simplify/Condense	( natural log of 1.612)/( square root of 1.612)	$\frac{\ln (1.612)}{\sqrt{1.612}}$
21563	Simplify/Condense	natural log of (1+0.06/12)^(12t)	$\ln ({(1 + \frac{0.06}{12})}^{12 t})$
21564	Simplify/Condense	( natural log of 10)/3	$\frac{\ln (10)}{3}$
21565	Simplify/Condense	( natural log of 10)/( natural log of 5)*2	$\frac{\ln (10)}{\ln (5)} \cdot 2$
21566	Simplify/Condense	( natural log of 100)/( natural log of 3)-1	$\frac{\ln (100)}{\ln (3)} - 1$
21567	Simplify/Condense	( natural log of 14)/( natural log of 9)-2	$\frac{\ln (14)}{\ln (9)} - 2$
21568	Simplify/Condense	( natural log of 17)/( natural log of 3)	$\frac{\ln (17)}{\ln (3)}$
21569	Simplify/Condense	( natural log of 1875)/230	$\frac{\ln (1875)}{230}$
21570	Simplify/Condense	( natural log of 2)/0.08	$\frac{\ln (2)}{0.08}$
21571	Simplify/Condense	( natural log of 2)/23*(24)	$\frac{\ln (2)}{23} \cdot (24)$
21572	Simplify/Condense	( natural log of 2)/3.5t	$\frac{\ln (2)}{3.5} t$
21573	Simplify/Condense	( natural log of 2)/(5 natural log of 2+ natural log of 7)	$\frac{\ln (2)}{5 \ln (2) + \ln (7)}$
21574	Simplify/Condense	( natural log of 2)/(7 natural log of 2+ natural log of 7)	$\frac{\ln (2)}{7 \ln (2 + \ln (7))}$
21575	Simplify/Condense	( natural log of 2)/( natural log of 7)	$\frac{\ln (2)}{\ln (7)}$
21576	Simplify/Condense	natural log of (2)^2- natural log of (2)^(1/2)	$\ln ({(2)}^{2}) - \ln ({(2)}^{\frac{1}{2}})$
21577	Simplify/Condense	natural log of (2.7)^5	$\ln ({(2.7)}^{5})$
21578	Simplify/Condense	( natural log of 226)/9	$\frac{\ln (226)}{9}$
21579	Simplify/Condense	( natural log of 25)/0.985	$\frac{\ln (25)}{0.985}$
21580	Simplify/Condense	( natural log of 3)/(7 natural log of 2)	$\frac{\ln (3)}{7 \ln (2)}$
21581	Simplify/Condense	( natural log of 3+2 natural log of x)/(8 natural log of y)	$\frac{\ln (3) + 2 \ln (x)}{8 \ln (y)}$
21582	Simplify/Condense	(- natural log of 3-2 natural log of 5)/( natural log of 3- natural log of 5)	$\frac{- \ln (3) - 2 \ln (5)}{\ln (3) - \ln (5)}$
21583	Simplify/Condense	natural log of (3x)^y	$\ln ({(3 x)}^{y})$
21584	Simplify/Condense	( natural log of 4)/( natural log of 5)	$\frac{\ln (4)}{\ln (5)}$
21585	Simplify/Condense	( natural log of 5)/( natural log of 4)	$\frac{\ln (5)}{\ln (4)}$
21586	Simplify/Condense	( natural log of 5)/( natural log of 7)	$\frac{\ln (5)}{\ln (7)}$
21587	Simplify/Condense	natural log of (5)^(2x-1)	$\ln ({(5)}^{2 x - 1})$
21588	Simplify/Condense	natural log of (54.598)^2-3 natural log of 54.598-4	$\ln ({(54.598)}^{2}) - 3 \ln (54.598 - 4)$
21589	Simplify/Condense	( natural log of 60)/( natural log of 8)	$\frac{\ln (60)}{\ln (8)}$
21590	Simplify/Condense	( natural log of 7)/( natural log of 3)	$\frac{\ln (7)}{\ln (3)}$
21591	Simplify/Condense	( natural log of 7x-6)/( natural log of x)	$\frac{\ln (7 x - 6)}{\ln (x)}$
21592	Simplify/Condense	( natural log of 8)/( natural log of 5- natural log of x+3 natural log of 2)	$\frac{\ln (8)}{\ln (5) - \ln (x) + 3 \ln (2)}$
21593	Simplify/Condense	natural log of (9x)^2	$\ln ({(9 x)}^{2})$
21594	Simplify/Condense	e^( natural log of 5x-2)	$e^{\ln (5 x - 2)}$
21595	Simplify/Condense	e^( natural log of 5x-3)	$e^{\ln (5 x - 3)}$
21596	Simplify/Condense	e^( natural log of 6x)	$e^{\ln (6 x)}$
21597	Simplify/Condense	e^( natural log of 7+2 natural log of 4)- log base 9 of ( square root of 27)/27	$e^{\ln (7) + 2 \ln (4)} - \log_{9} (\frac{\sqrt{27}}{27})$
21598	Simplify	cos(theta)tan(theta)	$\cos (θ) \tan (θ)$
21599	Simplify/Condense	e^( natural log of n)	$e^{\ln (n)}$
21600	Simplify/Condense	e^( natural log of sec(x))	$e^{\ln (\sec (x))}$