Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
32401	Evaluate	20000^(( natural log of 2)/17)(48)	$20000^{\frac{\ln (2)}{17}} (48)$
32402	Evaluate	2000e^(1/2* natural log of 19/10*5)	$2000 e^{\frac{1}{2} \cdot \ln (\frac{19}{10}) \cdot 5}$
32403	Evaluate	25^( log base 5 of square root of 2)	$25^{\log_{5} (\sqrt{2})}$
32404	Evaluate	3^( log base 3 of 20)	$3^{\log_{3} (20)}$
32405	Evaluate	3^( log base 3 of 38)	$3^{\log_{3} (38)}$
32406	Evaluate	3^( log base 3 of 9)	$3^{\log_{3} (9)}$
32407	Evaluate	3^( log base 5 of 625)	$3^{\log_{5} (625)}$
32408	Evaluate	3^(-(2( natural log of 10))/( natural log of 3))	$3^{- \frac{2 (\ln (10))}{\ln (3)}}$
32409	Evaluate	3^(2 log base 3 of 2-2)	$3^{2 \log_{3} (2) - 2}$
32410	Evaluate	3^(2 log base 3 of 4)	$3^{2 \log_{3} (4)}$
32411	Evaluate	5^( log base 5 of 327)	$5^{\log_{5} (327)}$
32412	Evaluate	5^( log base 5 of 37)	$5^{\log_{5} (37)}$
32413	Evaluate	5^( log base 5 of 38)	$5^{\log_{5} (38)}$
32414	Evaluate	5^( log base 5 of 40)	$5^{\log_{5} (40)}$
32415	Evaluate	log base 1/4 of 64	$\log_{\frac{1}{4}} (64)$
32416	Evaluate	5^( log base 5 of 6)+ log base 5 of 7	$5^{\log_{5} (6)} + \log_{5} (7)$
32417	Simplify the Matrix	[[0,2,2],[-5,2,-5]]*[[-2,-6],[1,4],[6,4]]	$[\begin{array}{c} 0 & 2 & 2 \\ - 5 & 2 & - 5 \end{array}] \cdot [\begin{array}{c} - 2 & - 6 \\ 1 & 4 \\ 6 & 4 \end{array}]$
32418	Evaluate	5^( log base 5 of 3)-(2 log base 36 of square root of 6)	$5^{\log_{5} (3)} - (2 \log_{36} (\sqrt{6}))$
32419	Evaluate	5^(-2( natural log of 2)/( natural log of 5))	$5^{- 2 \frac{\ln (2)}{\ln (5)}}$
32420	Evaluate	5^(2( log base 5 of 11))	$5^{2 (\log_{5} (11))}$
32421	Evaluate	4^( log base 4 of 31)	$4^{\log_{4} (31)}$
32422	Evaluate	4^( log base 4 of 5)	$4^{\log_{4} (5)}$
32423	Evaluate	4^( log base 4 of 9)	$4^{\log_{4} (9)}$
32424	Evaluate	4^( log base 4 of 962)	$4^{\log_{4} (962)}$
32425	Evaluate	4^( log base 49 of 100)	$4^{\log_{49} (100)}$
32426	Evaluate	4^( log base 4 of 1)	$4^{\log_{4} (1)}$
32427	Evaluate	5^(3 log base 5 of 4)	$5^{3 \log_{5} (4)}$
32428	Evaluate	5^(3 log base 5 of 6)	$5^{3 \log_{5} (6)}$
32429	Evaluate	5^(3+2( log base 5 of x))	$5^{3 + 2 (\log_{5} (x))}$
32430	Evaluate	5^( log of 5^3)	$5^{\log (5^{3})}$
32431	Evaluate	5^( log of 5^7)	$5^{\log (5^{7})}$
32432	Evaluate	5^( log of 5)*9	$5^{\log (5)} \cdot 9$
32433	Evaluate	5^( log of 5*12)	$5^{\log (5) \cdot 12}$
32434	Evaluate	50(e)^((1/1690* natural log of 1/2)(970))	$50 {(e)}^{(\frac{1}{1690} \cdot \ln (\frac{1}{2})) (970)}$
32435	Evaluate	50000^(( natural log of 2)/23*(24))	$50000^{\frac{\ln (2)}{23} \cdot (24)}$
32436	Evaluate	50000^((( natural log of 2)/23)(24))	$50000^{(\frac{\ln (2)}{23}) (24)}$
32437	Evaluate	(5370 natural log of 0.70)/( natural log of 2)	$\frac{5370 \ln (0.7)}{\ln (2)}$
32438	Evaluate	(54 natural log of 8-54)/( natural log of 64)	$\frac{54 \ln (8 - 54)}{\ln (64)}$
32439	Evaluate	(55( natural log of 20-1))/(( natural log of 20)^2)	$\frac{55 (\ln (20 - 1))}{\ln^{2} (20)}$
32440	Evaluate	(5600 natural log of 0.67)/( natural log of 2)	$\frac{5600 \ln (0.67)}{\ln (2)}$
32441	Evaluate	(-5600 natural log of 0.69)/( natural log of 2)	$\frac{- 5600 \ln (0.69)}{\ln (2)}$
32442	Evaluate	-(5600 natural log of 0.77)/( natural log of 2)	$- \frac{5600 \ln (0.77)}{\ln (2)}$
32443	Evaluate	(5600 natural log of 0.74)/( natural log of 2)	$\frac{5600 \ln (0.74)}{\ln (2)}$
32444	Evaluate	-(5600 natural log of 0.78)/( natural log of 2)	$- \frac{5600 \ln (0.78)}{\ln (2)}$
32445	Evaluate	-5700/( natural log of 2)	$- \frac{5700}{\ln (2)}$
32446	Evaluate	(5730( natural log of 0.59))/( natural log of 2)	$\frac{5730 (\ln (0.59))}{\ln (2)}$
32447	Evaluate	6.2^( log base 6.2 of x-4)	${6.2}^{\log_{6.2} (x - 4)}$
32448	Evaluate	(6 natural log of (4)^5)/4	$\frac{6 \ln ({(4)}^{5})}{4}$
32449	Evaluate	(6 log base 5 of 0.1-4)/(1- log base 5 of 0.1)	$\frac{6 \log_{5} (0.1) - 4}{1 - \log_{5} (0.1)}$
32450	Evaluate	6 log base 5 of (4)^6	$6 \log_{5} ({(4)}^{6})$
32451	Evaluate	6/(( log of 15)/( log of 5))+1	$\frac{6}{\frac{\log (15)}{\log (5)}} + 1$
32452	Evaluate	6/(x natural log of x)	$\frac{6}{x \ln (x)}$
32453	Evaluate	6^( log base 6 of 12)	$6^{\log_{6} (12)}$
32454	Evaluate	5^(2 log base 5 of 3)	$5^{2 \log_{5} (3)}$
32455	Evaluate	5^(2 log base 5 of 7)	$5^{2 \log_{5} (7)}$
32456	Evaluate	5^(2 log of 5^3+ log of 5^2)	$5^{2 \log (5^{3}) + \log (5^{2})}$
32457	Evaluate	6^( log base 6 of 15)	$6^{\log_{6} (15)}$
32458	Evaluate	6^( log base 6 of 20)	$6^{\log_{6} (20)}$
32459	Evaluate	4^(2 log base 4 of 6)	$4^{2 \log_{4} (6)}$
32460	Evaluate	4^(2 log base 6 of 7)	$4^{2 \log_{6} (7)}$
32461	Evaluate	4^(7 log base 4 of e natural log of x)	$4^{7 \log_{4} (e) \ln (x)}$
32462	Evaluate	4^(r log base 4 of w)	$4^{r \log_{4} (w)}$
32463	Evaluate	42/(2 log base 2 of 3)	$\frac{42}{2 \log_{2} (3)}$
32464	Evaluate	(48 natural log of 8-48)/(( natural log of 8)^2)	$\frac{48 \ln (8) - 48}{\ln^{2} (8)}$
32465	Evaluate	49^( log base 7 of 2)	$49^{\log_{7} (2)}$
32466	Evaluate	49^(- log base 7 of 4)	$49^{- \log_{7} (4)}$
32467	Evaluate	49^( log base 7 of 5)	$49^{\log_{7} (5)}$
32468	Evaluate	(4- natural log of 1476)/3	$\frac{4 - \ln (1476)}{3}$
32469	Evaluate	-(4 natural log of 17)/( natural log of 17-9 natural log of 13)	$- \frac{4 \ln (17)}{\ln (17) - 9 \ln (13)}$
32470	Evaluate	(4 natural log of 4.9)/( natural log of 7)	$\frac{4 \ln (4.9)}{\ln (7)}$
32471	Evaluate	(4 natural log of 6)/( natural log of 5+ natural log of 6)	$\frac{4 \ln (6)}{\ln (5) + \ln (6)}$
32472	Evaluate	(4- natural log of 816)/8	$\frac{4 - \ln (816)}{8}$
32473	Evaluate	5.8/(- log of x)	$\frac{5.8}{- \log (x)}$
32474	Evaluate	-5/13* natural log of 1-(13*2)/60	$- \frac{5}{13} \cdot \ln (1 - \frac{13 \cdot 2}{60})$
32475	Evaluate	5^( log of (5)^12)	$5^{\log ({(5)}^{12})}$
32476	Evaluate	5^( log of (5)^4)	$5^{\log ({(5)}^{4})}$
32477	Evaluate	5^( log of (5)^8)	$5^{\log ({(5)}^{8})}$
32478	Evaluate	5^( log base 3 of 5(x))	$5^{\log_{3} (5) (x)}$
32479	Evaluate	5^( log base 3 of 6)	$5^{\log_{3} (6)}$
32480	Evaluate	5^( log base 5 of x^4-6 log base 5 of y)	$5^{\log_{5} (x^{4}) - 6 \log_{5} (y)}$
32481	Evaluate	5^( log base 5 of 100)	$5^{\log_{5} (100)}$
32482	Evaluate	5^( log base 5 of 11)	$5^{\log_{5} (11)}$
32483	Evaluate	(3 natural log of 5)/(7 natural log of 6-2 natural log of 7)	$\frac{3 \ln (5)}{7 \ln (6) - 2 \ln (7)}$
32484	Evaluate	(3 natural log of 5+3 natural log of 3)/(2 natural log of 3- natural log of 5)	$\frac{3 \ln (5) + 3 \ln (3)}{2 \ln (3) - \ln (5)}$
32485	Evaluate	(3- natural log of 675)/8	$\frac{3 - \ln (675)}{8}$
32486	Evaluate	(3 natural log of 7-3 natural log of 3)/(4 natural log of 3- natural log of 7)	$\frac{3 \ln (7) - 3 \ln (3)}{4 \ln (3) - \ln (7)}$
32487	Evaluate	(3 log of 2-2 log of 5)/(2 log of 2- log of 5)	$\frac{3 \log (2) - 2 \log (5)}{2 \log (2) - \log (5)}$
32488	Evaluate	(-3 log of 5- log of 3)/(2 log of 5- log of 3)	$\frac{- 3 \log (5) - \log (3)}{2 \log (5) - \log (3)}$
32489	Evaluate	(3 log of 80- natural log of 5)/( log of 5+ natural log of 20)	$\frac{3 \log (80) - \ln (5)}{\log (5) + \ln (20)}$
32490	Evaluate	4^(0.6 log base 4 of square root of 8)- natural log of e^( natural log of 6)	$4^{0.6 \log_{4} (\sqrt{8})} - \ln (e^{\ln (6)})$
32491	Evaluate	3^( log of 3^8)	$3^{\log (3^{8})}$
32492	Evaluate	3^( log of 3*2.1)	$3^{\log (3) \cdot 2.1}$
32493	Evaluate	(3+ natural log of 3)/2	$\frac{3 + \ln (3)}{2}$
32494	Evaluate	30000e^(( natural log of 2)/(19(36)))	$30000 e^{\frac{\ln (2)}{19 (36)}}$
32495	Evaluate	30000e^(( natural log of 2)/19*(36))	$30000 e^{\frac{\ln (2)}{19} \cdot (36)}$
32496	Evaluate	36^( log base 36 of 1296)	$36^{\log_{36} (1296)}$
32497	Evaluate	36^( log base 36 of 216)	$36^{\log_{36} (216)}$
32498	Evaluate	3^( log base 3 of 11)	$3^{\log_{3} (11)}$
32499	Evaluate	3^(-2 log base 3 of 7)	$3^{- 2 \log_{3} (7)}$
32500	Evaluate	3^3 log base 3 of 2+2	$3^{3} \log_{3} (2 + 2)$