Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
32301	Convert to Logarithmic Form	i=5e^(-2*0.7)sin(0.7)	$i = 5 e^{- 2 \cdot 0.7} \sin (0.7)$
32302	Convert to Logarithmic Form	i=8.2(1-e^(-0.58*0.005))	$i = 8.2 (1 - e^{- 0.58 \cdot 0.005})$
32303	Convert to Logarithmic Form	i=8.9(1-e^(-0.15*0.009))	$i = 8.9 (1 - e^{- 0.15 \cdot 0.009})$
32304	Convert to Logarithmic Form	k=(234)^567	$k = {(234)}^{567}$
32305	Convert to Logarithmic Form	n=6000(1-e^(-0.15*4))	$n = 6000 (1 - e^{- 0.15 \cdot 4})$
32306	Convert to Logarithmic Form	p(114)=1.7(1.0127)^t	$p (114) = 1.7 {(1.0127)}^{t}$
32307	Convert to Logarithmic Form	p=250420e^(0.012t)	$p = 250420 e^{0.012 t}$
32308	Convert to Logarithmic Form	P=8(1.7)^t	$P = 8 {(1.7)}^{t}$
32309	Convert to Logarithmic Form	P=A(1+6)^-7	$P = A {(1 + 6)}^{- 7}$
32310	Convert to Logarithmic Form	q(6)=6(1-e^(-0.05t))	$q (6) = 6 (1 - e^{- 0.05 t})$
32311	Convert to Logarithmic Form	Q=(10^t)/40	$Q = \frac{10^{t}}{40}$
32312	Convert to Logarithmic Form	q=5(1/2)^(t/1599)	$q = 5 {(\frac{1}{2})}^{\frac{t}{1599}}$
32313	Convert to Logarithmic Form	R=10.5(0.535)^t	$R = 10.5 {(0.535)}^{t}$
32314	Convert to Logarithmic Form	5e^x=14	$5 e^{x} = 14$
32315	Convert to Logarithmic Form	125=25(1/5)^(2x)	$125 = 25 {(\frac{1}{5})}^{2 x}$
32316	Convert to Logarithmic Form	625=5^a	$625 = 5^{a}$
32317	Convert to Logarithmic Form	64=(5^2)/2	$64 = \frac{5^{2}}{2}$
32318	Convert to Logarithmic Form	8=16e^(-0.001*40)	$8 = 16 e^{- 0.001 \cdot 40}$
32319	Convert to Logarithmic Form	-9=-3^2	$- 9 = - 3^{2}$
32320	Convert to Logarithmic Form	9=a^2	$9 = a^{2}$
32321	Convert to Logarithmic Form	9000=3000(e)^(-0.06t)	$9000 = 3000 {(e)}^{- 0.06 t}$
32322	Convert to Logarithmic Form	99=4sin(pi/12*0-1)	$99 = 4 \sin (\frac{π}{12} \cdot 0 - 1)$
32323	Convert to Logarithmic Form	A(20)=500e^(-0.0244*20)	$A (20) = 500 e^{- 0.0244 \cdot 20}$
32324	Convert to Logarithmic Form	A(6)=600(e)^(-0.05t)	$A (6) = 600 {(e)}^{- 0.05 t}$
32325	Convert to Logarithmic Form	a(n)=((-1)^n(n+2))/(n+1)	$a (n) = \frac{{(- 1)}^{n} (n + 2)}{n + 1}$
32326	Convert to Logarithmic Form	a(n)=(2)^(n-1)	$a (n) = {(2)}^{n - 1}$
32327	Convert to Logarithmic Form	a(n)=(n^2)/(n+1)	$a (n) = \frac{n^{2}}{n + 1}$
32328	Convert to Logarithmic Form	a(n)=18(2/3)^(n-1)	$a (n) = 18 {(\frac{2}{3})}^{n - 1}$
32329	Convert to Logarithmic Form	a(n)=27(0.1)^(n-1)	$a (n) = 27 {(0.1)}^{n - 1}$
32330	Convert to Logarithmic Form	ab^2=b	$a b^{2} = b$
32331	Convert to Logarithmic Form	a=( square root of (x-c)^2+(y-0))^2	$a = {(\sqrt{{(x - c)}^{2} + (y - 0)})}^{2}$
32332	Convert to Logarithmic Form	A=8^B	$A = 8^{B}$
32333	Convert to Logarithmic Form	a=b^2	$a = b^{2}$
32334	Evaluate	-(150 log of 4)/5	$- \frac{150 \log (4)}{5}$
32335	Evaluate	16^( log base 2 of p)	$16^{\log_{2} (p)}$
32336	Evaluate	16^( log base 6 of 16)	$16^{\log_{6} (16)}$
32337	Evaluate	16^(2 log base 16 of 5)	$16^{2 \log_{16} (5)}$
32338	Evaluate	1700^( natural log of 1.7)	$1700^{\ln (1.7)}$
32339	Evaluate	(18 natural log of 2- natural log of 13)/(3 natural log of 2)	$\frac{18 \ln (2) - \ln (13)}{3 \ln (2)}$
32340	Evaluate	(19pi)/12*14	$\frac{19 π}{12} \cdot 14$
32341	Evaluate	(2( natural log of 3+ natural log of 2))/( natural log of 3-4 natural log of 2)	$\frac{2 (\ln (3) + \ln (2))}{\ln (3) - 4 \ln (2)}$
32342	Evaluate	(2 log base 2 of 3-1)/(2 log base 2 of 3)	$\frac{2 \log_{2} (3) - 1}{2 \log_{2} (3)}$
32343	Evaluate	-2/3* log base 3 of (2x)^2+1/2* log base 3 of (4x)^2	$- \frac{2}{3} \cdot \log_{3} ({(2 x)}^{2}) + \frac{1}{2} \cdot \log_{3} ({(4 x)}^{2})$
32344	Evaluate	2/3* log of 9.475	$\frac{2}{3} \cdot \log (9.475)$
32345	Evaluate	-2/3* log base 3 of 2m^2+1/2* log base 3 of 4m^2	$- \frac{2}{3} \cdot \log_{3} (2 m^{2}) + \frac{1}{2} \cdot \log_{3} (4 m^{2})$
32346	Evaluate	2/3* log of 1.41/(10(7))	$\frac{2}{3} \cdot \log (\frac{1.41}{10 (7)})$
32347	Evaluate	2/3* log of (2.38*10^21)/(10^4.40)	$\frac{2}{3} \cdot \log (\frac{2.38 \cdot 10^{21}}{10^{4.4}})$
32348	Evaluate	2/( log of 1.17)	$\frac{2}{\log (1.17)}$
32349	Evaluate	2^(2/( log base 5 of x))	$2^{\frac{2}{\log_{5} (x)}}$
32350	Evaluate	2^( log of (2)^9)	$2^{\log ({(2)}^{9})}$
32351	Evaluate	2^( log base 2 of 1000000000/3486784401)	$2^{\log_{2} (\frac{1000000000}{3486784401})}$
32352	Evaluate	2^( log base 2 of 8^x)	$2^{\log_{2} (8^{x})}$
32353	Evaluate	2^( log base 2 of 0.25)	$2^{\log_{2} (0.25)}$
32354	Evaluate	(100 natural log of 0.50)/( natural log of 1/2)	$\frac{100 \ln (0.5)}{\ln (\frac{1}{2})}$
32355	Evaluate	11^(2 log base 11 of 9)	$11^{2 \log_{11} (9)}$
32356	Evaluate	11^(3 log of 1)11^(2+ log of 1)11^4	$11^{3 \log (1)} \cdot 11^{2 + \log (1)} \cdot 11^{4}$
32357	Evaluate	1000^( log of 6)	$1000^{\log (6)}$
32358	Evaluate	10^( log of 60)	$10^{\log (60)}$
32359	Evaluate	10^( log of 96)	$10^{\log (96)}$
32360	Evaluate	10^( log of k)	$10^{\log (k)}$
32361	Evaluate	10^( log of n)	$10^{\log (n)}$
32362	Evaluate	2^( log base 2 of 3x-6)	$2^{\log_{2} (3 x - 6)}$
32363	Evaluate	2^( log base 2 of 22)	$2^{\log_{2} (22)}$
32364	Evaluate	12^( log base 12 of 24)	$12^{\log_{12} (24)}$
32365	Evaluate	12^(2(-( natural log of 11)/( natural log of 12)))	$12^{2 (- \frac{\ln (11)}{\ln (12)})}$
32366	Evaluate	1299^( log base 1299 of 75)	$1299^{\log_{1299} (75)}$
32367	Evaluate	(12 natural log of 2)/( natural log of 22/53)	$\frac{12 \ln (2)}{\ln (\frac{22}{53})}$
32368	Evaluate	(-13+4 natural log of 90)/(1+5 natural log of 90)	$\frac{- 13 + 4 \ln (90)}{1 + 5 \ln (90)}$
32369	Evaluate	2e^(3 natural log of x)	$2 e^{3 \ln (x)}$
32370	Evaluate	(2 natural log of e^r)/(e^( natural log of 1/p))	$\frac{2 \ln (e^{r})}{e^{\ln (\frac{1}{p})}}$
32371	Evaluate	(2- natural log of square root of e)/(1+ natural log of e^2)	$\frac{2 - \ln (\sqrt{e})}{1 + \ln (e^{2})}$
32372	Evaluate	(2 natural log of 10+ log of 20)/( log of 121- natural log of 11)	$\frac{2 \ln (10) + \log (20)}{\log (121) - \ln (11)}$
32373	Evaluate	(2 natural log of 11+ log of 22)/( log of 16- natural log of 4)	$\frac{2 \ln (11) + \log (22)}{\log (16) - \ln (4)}$
32374	Evaluate	(2 natural log of 2- natural log of 3)/(3 natural log of 2- natural log of 3)	$\frac{2 \ln (2) - \ln (3)}{3 \ln (2) - \ln (3)}$
32375	Evaluate	(-2 natural log of 2- natural log of 7)/(2 natural log of 2- natural log of 7)	$\frac{- 2 \ln (2) - \ln (7)}{2 \ln (2) - \ln (7)}$
32376	Evaluate	(2 natural log of 3)/( natural log of 4- natural log of 3)	$\frac{2 \ln (3)}{\ln (4) - \ln (3)}$
32377	Evaluate	(-2 natural log of 3-3 natural log of 5)/(4 natural log of 3- natural log of 5)	$\frac{- 2 \ln (3) - 3 \ln (5)}{4 \ln (3) - \ln (5)}$
32378	Evaluate	(2 natural log of 5+ log of 10)/( log of 36- natural log of 6)	$\frac{2 \ln (5) + \log (10)}{\log (36) - \ln (6)}$
32379	Evaluate	(2 natural log of 5+ log of 50)/( log of 4- natural log of 2)	$\frac{2 \ln (5) + \log (50)}{\log (4) - \ln (2)}$
32380	Evaluate	(2 natural log of 7)/( natural log of 2)	$\frac{2 \ln (7)}{\ln (2)}$
32381	Evaluate	(2 natural log of 7-3)/(3(7)^3)	$\frac{2 \ln (7 - 3)}{3 {(7)}^{3}}$
32382	Evaluate	(2 natural log of 8+ log of 16)/( log of 9- natural log of 3)	$\frac{2 \ln (8) + \log (16)}{\log (9) - \ln (3)}$
32383	Evaluate	(2 log of 12-3 log of 25)/( natural log of 4+3 natural log of 6)	$\frac{2 \log (12) - 3 \log (25)}{\ln (4) + 3 \ln (6)}$
32384	Evaluate	2^( log base 2 of 99)	$2^{\log_{2} (99)}$
32385	Evaluate	2^( log base 4 of 16)	$2^{\log_{4} (16)}$
32386	Evaluate	2^( log base 4 of 49)	$2^{\log_{4} (49)}$
32387	Evaluate	2^( log base 8 of 125)	$2^{\log_{8} (125)}$
32388	Evaluate	2^2 log base 2 of 9	$2^{2} \log_{2} (9)$
32389	Evaluate	2^(2+ log base 0.5 of 0.2)	$2^{2 + \log_{0.5} (0.2)}$
32390	Evaluate	2^(3 log base 2 of 3)	$2^{3 \log_{2} (3)}$
32391	Evaluate	(2 log of 5+2 log of 7)/(4 log of 5- log of 7)	$\frac{2 \log (5) + 2 \log (7)}{4 \log (5) - \log (7)}$
32392	Evaluate	(-2 log of 6)/( log of 10/6)	$\frac{- 2 \log (6)}{\log (\frac{10}{6})}$
32393	Evaluate	(2 log of 8)/( log of 8-3 log of 5)	$\frac{2 \log (8)}{\log (8) - 3 \log (5)}$
32394	Evaluate	3^( log of (3)^7)	$3^{\log ({(3)}^{7})}$
32395	Evaluate	2^(4 log base 3 of 3+3)	$2^{4 \log_{3} (3 + 3)}$
32396	Evaluate	2^(5+3 log base 2 of 7)	$2^{5 + 3 \log_{2} (7)}$
32397	Evaluate	2^( natural log of 0.015)	$2^{\ln (0.015)}$
32398	Evaluate	2^( natural log of 2(-4))	$2^{\ln (2) (- 4)}$
32399	Evaluate	2^( log of 2^5)	$2^{\log (2^{5})}$
32400	Evaluate	2^( log of 2 square root of 3)	$2^{\log (2) \sqrt{3}}$