Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
32101	Evaluate	( log of 3/2)/3	$\frac{\log (\frac{3}{2})}{3}$
32102	Evaluate	log of (0.0001)^10	$\log ({(0.0001)}^{10})$
32103	Evaluate	( log of 1)/1000	$\frac{\log (1)}{1000}$
32104	Evaluate	( log of 10)/( log of square root of 5)	$\frac{\log (10)}{\log (\sqrt{5})}$
32105	Evaluate	(-1)^6 natural log of 6	${(- 1)}^{6} \ln (6)$
32106	Evaluate	((21) natural log of 111/3)/( natural log of 2)	$\frac{(21) \ln (\frac{111}{3})}{\ln (2)}$
32107	Evaluate	(2 natural log of 7+ log of 14)/( log of 25- natural log of 5)	$\frac{2 \ln (7) + \log (14)}{\log (25 - \ln (5))}$
32108	Evaluate	(2 log of 9)/( log of 6/5+2 log of 9)	$\frac{2 \log (9)}{\log (\frac{6}{5}) + 2 \log (9)}$
32109	Evaluate	(5 log base 7 of x+1)/(3 log base 7 of x-2 log base 7 of x-1)	$\frac{5 \log_{7} (x + 1)}{3 \log_{7} (x - 2) \log_{7} (x - 1)}$
32110	Evaluate	(6+ log base 7 of 35)/3	$\frac{6 + \log_{7} (35)}{3}$
32111	Evaluate	(7 log of 3)/(2 log of 9+ log of 3)	$\frac{7 \log (3)}{2 \log (9) + \log (3)}$
32112	Evaluate	( natural log of 0.57/0.60)/30	$\frac{\ln (\frac{0.57}{0.6})}{30}$
32113	Evaluate	( natural log of 1/2)/-1600	$\frac{\ln (\frac{1}{2})}{- 1600}$
32114	Evaluate	( natural log of 20/71)/(1/5* natural log of 46/71)	$\frac{\ln (\frac{20}{71})}{\frac{1}{5} \cdot \ln (\frac{46}{71})}$
32115	Evaluate	( natural log of 25/6)/12.77	$\frac{\ln (\frac{25}{6})}{12.77}$
32116	Evaluate	( natural log of 0.15)/(( natural log of 1/2)/22)	$\frac{\ln (0.15)}{\frac{\ln (\frac{1}{2})}{22}}$
32117	Evaluate	( natural log of 10.476-6)/-10	$\frac{\ln (10.476) - 6}{- 10}$
32118	Evaluate	( natural log of 2(3e^x))^2	$\ln^{2} (2 (3 e^{x}))$
32119	Evaluate	( natural log of 24 natural log of 8)/( log of 24+ log of 8)	$\frac{\ln (24) \ln (8)}{\log (24) + \log (8)}$
32120	Evaluate	(e^(3/2))^( natural log of 4)	${(e^{\frac{3}{2}})}^{\ln (4)}$
32121	Evaluate	(( natural log of 1/2)/22)/88	$\frac{\frac{\ln (\frac{1}{2})}{22}}{88}$
32122	Evaluate	(( natural log of 2)/( natural log of 1.0075))/4	$\frac{\frac{\ln (2)}{\ln (1.0075)}}{4}$
32123	Evaluate	(( log of 12/10)/( log of 1.01)-1)/2	$\frac{\frac{\log (\frac{12}{10})}{\log (1.01)} - 1}{2}$
32124	Evaluate	(( log of 78125)/( log of 5)-3)/4	$\frac{\frac{\log (78125)}{\log (5)} - 3}{4}$
32125	Evaluate	( log of 5)/0.015	$\frac{\log (5)}{0.015}$
32126	Evaluate	( log base 2 of x^2)^2-2 log base 2 of x^2	${\log_{2}}^{2} (x^{2}) - 2 \log_{2} (x^{2})$
32127	Evaluate	( log base 2 of 8a^2(16b^2))/( log base 3 of 9a^2(27b^3))	$\frac{\log_{2} (8 a^{2} \cdot (16 b^{2}))}{\log_{3} (9 a^{2} \cdot (27 b^{3}))}$
32128	Evaluate	( log base 2 of n)/2	$\frac{\log_{2} (n)}{2}$
32129	Convert to Logarithmic Form	y=ab^x	$y = a b^{x}$
32130	Convert to Logarithmic Form	y=ae^(-bx)	$y = a e^{- b x}$
32131	Convert to Logarithmic Form	y=Ax^4	$y = A x^{4}$
32132	Convert to Logarithmic Form	y=a^(-2x)	$y = a^{- 2 x}$
32133	Convert to Logarithmic Form	84=p*42^2	$84 = p \cdot 42^{2}$
32134	Evaluate	-(0.194 log of 0.194+0.137 log of 0.137+0.399 log of 0.399+0.126 log of 0.126+0.145 log of 0.145)	$- (0.194 \log (0.194) + 0.137 \log (0.137) + 0.399 \log (0.399) + 0.126 \log (0.126) + 0.145 \log (0.145))$
32135	Evaluate	( log of 725+5 log of 15)/(-2 log of 15)	$\frac{\log (725) + 5 \log (15)}{- 2 \log (15)}$
32136	Evaluate	log base 16 of (1/4)^3	$\log_{16} ({(\frac{1}{4})}^{3})$
32137	Evaluate	1.2934/( natural log of 33)	$\frac{1.2934}{\ln (33)}$
32138	Evaluate	(1/1690* natural log of 1/2)(550)	$(\frac{1}{1690} \cdot \ln (\frac{1}{2})) (550)$
32139	Evaluate	(1/2)(2 log of 3+4 log of 5- log of 2)	$(\frac{1}{2}) (2 \log (3) + 4 \log (5) - \log (2))$
32140	Evaluate	(1/2) natural log of e^(4x)	$(\frac{1}{2}) \ln (e^{4 x})$
32141	Evaluate	(-1/2) natural log of e	$(- \frac{1}{2}) \ln (e)$
32142	Evaluate	(1/3) log base 2 of 1/8	$(\frac{1}{3}) \log_{2} (\frac{1}{8})$
32143	Evaluate	(1/3) log base 6 of 4x	$(\frac{1}{3}) \log_{6} (4 x)$
32144	Evaluate	( natural log of 0.10/0.30)/(( natural log of 0.27/0.30)/30)	$\frac{\ln (\frac{0.1}{0.3})}{\frac{\ln (\frac{0.27}{0.3})}{30}}$
32145	Evaluate	( natural log of 1200/600)/0.02	$\frac{\ln (\frac{1200}{600})}{0.02}$
32146	Evaluate	( natural log of 3000/14396)/( natural log of 0.85)	$\frac{\ln (\frac{3000}{14396})}{\ln (0.85)}$
32147	Evaluate	( natural log of 0.20)/( natural log of 5)	$\frac{\ln (0.2)}{\ln (5)}$
32148	Evaluate	(-( natural log of 3.30)/12)(1/((1+0.08330.04)( natural log of (1+0.08330.04)^2)))	$(- \frac{\ln (3.3)}{12}) \cdot (\frac{1}{(1 + 0.0833 \cdot 0.04) \cdot (\ln ({(1 + 0.0833 \cdot 0.04)}^{2}))})$
32149	Evaluate	(( natural log of 327)/( natural log of 290(1.008)))+1995	$(\frac{\ln (327)}{\ln (290 (1.008))}) + 1995$
32150	Evaluate	natural log of (4)^2-4 natural log of 4	$\ln ({(4)}^{2}) - 4 \ln (4)$
32151	Evaluate	(( natural log of 7)/5)/( natural log of 7*6)	$\frac{\frac{\ln (7)}{5}}{\ln (7) \cdot 6}$
32152	Evaluate	( log base 15 of 12)-3	$(\log_{15} (12)) - 3$
32153	Evaluate	log base 2 of 113/5	$\log_{2} (\frac{113}{5})$
32154	Evaluate	( log base 2 of 3)( log base 3 of 4)( log base 15 of 16)	$(\log_{2} (3)) (\log_{3} (4)) (\log_{15} (16))$
32155	Evaluate	( log base 2 of 3+ log base 4 of 9)( log base 3 of 2+ log base 9 of 4)	$(\log_{2} (3) + \log_{4} (9)) (\log_{3} (2) + \log_{9} (4))$
32156	Evaluate	( log base 2 of 5)( log base 5 of 2)	$(\log_{2} (5)) (\log_{5} (2))$
32157	Evaluate	log base 2 of 9*2^9	$\log_{2} (9) \cdot 2^{9}$
32158	Evaluate	( log base 3 of 1/9)( log base 3 of 81)	$(\log_{3} (\frac{1}{9})) (\log_{3} (81))$
32159	Evaluate	( log base 3 of 25)( log base 5 of 27)	$(\log_{3} (25)) (\log_{5} (27))$
32160	Evaluate	( log base 3 of 7)( log base 7 of 13)	$(\log_{3} (7)) (\log_{7} (13))$
32161	Evaluate	( log base 3 of 7)( log base 7 of 3)	$(\log_{3} (7)) (\log_{7} (3))$
32162	Evaluate	( log base 3 of 729)( log base 3 of 243)	$(\log_{3} (729)) (\log_{3} (243))$
32163	Evaluate	log base 3 of x+7- log base 3 of x	$\log_{3} (x + 7) - \log_{3} (x)$
32164	Evaluate	( log base 4 of 12^3)( log base 12 of 4^3)	$(\log_{4} (12^{3})) (\log_{12} (4^{3}))$
32165	Evaluate	( log base 4 of 3)( log base 3 of 5)	$(\log_{4} (3)) (\log_{3} (5))$
32166	Evaluate	( log base 5 of 2)( log base 5 of 7)	$(\log_{5} (2)) (\log_{5} (7))$
32167	Evaluate	( log base 7 of 2)( log base 2 of 49)	$(\log_{7} (2)) (\log_{2} (49))$
32168	Evaluate	( log base 8 of 9+7)* log base 8 of x	$(\log_{8} (9) + 7) \cdot \log_{8} (x)$
32169	Evaluate	( log base 9 of 7)( log base 7 of 10)	$(\log_{9} (7)) (\log_{7} (10))$
32170	Evaluate	log base 9 of 7 log base 7 of 10	$\log_{9} (7) \log_{7} (10)$
32171	Evaluate	( log base 9 of x)*( log base x of 9)	$(\log_{9} (x)) \cdot (\log_{x} (9))$
32172	Evaluate	((-1)( log of 7))/( log of 3)	$\frac{(- 1) (\log (7))}{\log (3)}$
32173	Evaluate	(1+ log base 7 of p)-( log base 7 of 4+ log base 7 of k)	$(1 + \log_{7} (p)) - (\log_{7} (4) + \log_{7} (k))$
32174	Evaluate	(2 log base b of 7)( log base b of 8)	$(2 \log_{b} (7)) (\log_{b} (8))$
32175	Evaluate	(2 log base x of 7) log base x of 8	$(2 \log_{x} (7)) \log_{x} (8)$
32176	Evaluate	(2 log of 4)-( log of 3)+2 log of x-4	$(2 \log (4)) - (\log (3)) + 2 \log (x - 4)$
32177	Evaluate	(2x) natural log of x^2	$(2 x) \ln (x^{2})$
32178	Evaluate	5 log base 37 of (37)^9	$5 \log_{37} ({(37)}^{9})$
32179	Evaluate	natural log of 6^3	$\ln (6^{3})$
32180	Evaluate	natural log of c^-4( natural log of (a/b)^-2)	$\ln (c^{- 4}) (\ln ({(\frac{a}{b})}^{- 2}))$
32181	Evaluate	( natural log of x/(e^4)) natural log of xe^4	$(\ln (\frac{x}{e^{4}})) \ln (x e^{4})$
32182	Evaluate	( natural log of 1-e^( natural log of 25))(30-e^( natural log of 4^2))	$(\ln (1) - e^{\ln (25)}) (30 - e^{\ln (4^{2})})$
32183	Evaluate	( natural log of 1.5)( natural log of 8)	$(\ln (1.5)) (\ln (8))$
32184	Evaluate	( log of 4- log of 8)(( log of 10)÷( log of 2))	$(\log (4) - \log (8)) (\log (10) \div \log (2))$
32185	Evaluate	-( log of 4.4+ log of 10^-4)	$- (\log (4.4 + \log (10^{- 4})))$
32186	Evaluate	( log of am- log of an)+4 log of ak	$(\log (a) m - \log (a) n) + 4 \log (a) k$
32187	Evaluate	( log of aq- log of ar)+2 log of ap	$(\log (a) q - \log (a) r) + 2 \log (a) p$
32188	Evaluate	log of log of log of 10^(10^100)	$\log (\log (\log (10^{10^{100}})))$
32189	Evaluate	(-x) log of 10	$(- x) \log (10)$
32190	Evaluate	0.0001 natural log of 0.0001	$0.0001 \ln (0.0001)$
32191	Evaluate	-0.25 natural log of 1-1/2*0.1	$- 0.25 \ln (1 - \frac{1}{2} \cdot 0.1)$
32192	Evaluate	0.2 log of 9	$0.2 \log (9)$
32193	Evaluate	(0.30(e)( natural log of 0.27/0.30))/30*180	$\frac{0.3 (e) (\ln (\frac{0.27}{0.3}))}{30} \cdot 180$
32194	Evaluate	0.45 natural log of 0.3	$0.45 \ln (0.3)$
32195	Evaluate	0.5( log base 4 of r-7- log base 4 of r)	$0.5 (\log_{4} (r - 7) - \log_{4} (r))$
32196	Evaluate	0.5( log base 7 of (x-8)/x)	$0.5 (\log_{7} (\frac{x - 8}{x}))$
32197	Evaluate	0.5(1+ log base 9 of x)	$0.5 (1 + \log_{9} (x))$
32198	Evaluate	0.5 log of 5	$0.5 \log (5)$
32199	Evaluate	( natural log of 1/2)/1599	$\frac{\ln (\frac{1}{2})}{1599}$
32200	Evaluate	(( natural log of 1/2)/1599)*1000	$(\frac{\ln (\frac{1}{2})}{1599}) \cdot 1000$