Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36001	Convert to Logarithmic Form	4200=2100e^((0.082)y)	$4200 = 2100 e^{(0.082) y}$
36002	Convert to Logarithmic Form	44g=(j+15)^(47-k)	$44 g = {(j + 15)}^{47 - k}$
36003	Convert to Logarithmic Form	4500e^0.05=7000	$4500 e^{0.05} = 7000$
36004	Convert to Logarithmic Form	4(1+10^(7x))=9	$4 (1 + 10^{7 x}) = 9$
36005	Convert to Logarithmic Form	4.4=7^x	$4.4 = 7^{x}$
36006	Convert to Logarithmic Form	4.5=a^6	$4.5 = a^{6}$
36007	Convert to Logarithmic Form	4.6(10^(7x))=6.1	$4.6 (10^{7 x}) = 6.1$
36008	Convert to Logarithmic Form	4.6=a^9	$4.6 = a^{9}$
36009	Convert to Logarithmic Form	4.8=a^8	$4.8 = a^{8}$
36010	Convert to Logarithmic Form	4.9=4^x	$4.9 = 4^{x}$
36011	Convert to Logarithmic Form	4.9=8^x	$4.9 = 8^{x}$
36012	Convert to Logarithmic Form	4e^(7x)=1184	$4 e^{7 x} = 1184$
36013	Convert to Logarithmic Form	4e^(7x)=728	$4 e^{7 x} = 728$
36014	Convert to Logarithmic Form	4e^(9x)=840	$4 e^{9 x} = 840$
36015	Convert to Logarithmic Form	4e^x=100	$4 e^{x} = 100$
36016	Convert to Logarithmic Form	4e^x=27	$4 e^{x} = 27$
36017	Convert to Logarithmic Form	4=2^2	$4 = 2^{2}$
36018	Convert to Logarithmic Form	4=3^(3y+4)	$4 = 3^{3 y + 4}$
36019	Convert to Logarithmic Form	40(1.04)^x=1640	$40 {(1.04)}^{x} = 1640$
36020	Convert to Logarithmic Form	40=90/(1+271e^(-0.122x))	$40 = \frac{90}{1 + 271 e^{- 0.122 x}}$
36021	Convert to Logarithmic Form	400(2.2^x)=1200	$400 ({2.2}^{x}) = 1200$
36022	Convert to Logarithmic Form	400e^(-0.0244*20)=300	$400 e^{- 0.0244 \cdot 20} = 300$
36023	Convert to Logarithmic Form	400=25(1.5)^(4x)	$400 = 25 {(1.5)}^{4 x}$
36024	Convert to Logarithmic Form	4000=2000e^0.024	$4000 = 2000 e^{0.024}$
36025	Convert to Logarithmic Form	3e^(-2x-4)=73	$3 e^{- 2 x - 4} = 73$
36026	Convert to Logarithmic Form	3e^(4x-8)=39	$3 e^{4 x - 8} = 39$
36027	Convert to Logarithmic Form	3e^x=10	$3 e^{x} = 10$
36028	Convert to Logarithmic Form	3e^x=34	$3 e^{x} = 34$
36029	Convert to Logarithmic Form	3e^x=45	$3 e^{x} = 45$
36030	Convert to Logarithmic Form	3e^x=53	$3 e^{x} = 53$
36031	Convert to Logarithmic Form	3e^x=60	$3 e^{x} = 60$
36032	Convert to Logarithmic Form	3=2e^(6x-8)	$3 = 2 e^{6 x - 8}$
36033	Convert to Logarithmic Form	3=7e^(7x-6)	$3 = 7 e^{7 x - 6}$
36034	Convert to Logarithmic Form	2213.23=2200(1+0.024/12)^36	$2213.23 = 2200 {(1 + \frac{0.024}{12})}^{36}$
36035	Convert to Logarithmic Form	2300=10(1-e^(450x))	$2300 = 10 (1 - e^{450 x})$
36036	Convert to Logarithmic Form	2-3cos(180)=5+3cos(180)	$2 - 3 \cos (180) = 5 + 3 \cos (180)$
36037	Convert to Logarithmic Form	150=50e^(7x)	$150 = 50 e^{7 x}$
36038	Convert to Logarithmic Form	1500(1.2)^x=3000	$1500 {(1.2)}^{x} = 3000$
36039	Convert to Logarithmic Form	1500=(1+0.055/2)^(2*5)	$1500 = {(1 + \frac{0.055}{2})}^{2 \cdot 5}$
36040	Convert to Logarithmic Form	1500=750e^(0.075(9.24))	$1500 = 750 e^{0.075 (9.24)}$
36041	Convert to Logarithmic Form	1500=800e^(0.07*1)	$1500 = 800 e^{0.07 \cdot 1}$
36042	Convert to Logarithmic Form	15000(1+0.045/4)^4=16000	$15000 {(1 + \frac{0.045}{4})}^{4} = 16000$
36043	Convert to Logarithmic Form	16=(1/4)^-2	$16 = {(\frac{1}{4})}^{- 2}$
36044	Convert to Logarithmic Form	12x=5^(x+4)	$12 x = 5^{x + 4}$
36045	Convert to Logarithmic Form	13e^(0.081t)=25e^(0.032t)	$13 e^{0.081 t} = 25 e^{0.032 t}$
36046	Convert to Logarithmic Form	137=y^x	$137 = y^{x}$
36047	Convert to Logarithmic Form	15=1-e^(-8*60)	$15 = 1 - e^{- 8 \cdot 60}$
36048	Convert to Logarithmic Form	150=100(1+0.08/365)^(365(0.08))	$150 = 100 {(1 + \frac{0.08}{365})}^{365 (0.08)}$
36049	Convert to Logarithmic Form	150=100e^0.07	$150 = 100 e^{0.07}$
36050	Convert to Logarithmic Form	150=100e^(2(3))	$150 = 100 e^{2 (3)}$
36051	Convert to Logarithmic Form	25=5^x	$25 = 5^{x}$
36052	Convert to Logarithmic Form	250=(-32(250)^2)/(160^2)+250	$250 = \frac{- 32 {(250)}^{2}}{160^{2}} + 250$
36053	Convert to Logarithmic Form	250=5000(1-4/(4+e^(-0.002x)))	$250 = 5000 (1 - \frac{4}{4 + e^{- 0.002 x}})$
36054	Convert to Logarithmic Form	2500=(1+6/2)^(2*2.16)	$2500 = {(1 + \frac{6}{2})}^{2 \cdot 2.16}$
36055	Convert to Logarithmic Form	26.6=18.5e^0.1706	$26.6 = 18.5 e^{0.1706}$
36056	Convert to Logarithmic Form	27=2^(3x-1)	$27 = 2^{3 x - 1}$
36057	Convert to Logarithmic Form	27=a^3	$27 = a^{3}$
36058	Convert to Logarithmic Form	2700=800(1+0.3)^3	$2700 = 800 {(1 + 0.3)}^{3}$
36059	Convert to Logarithmic Form	286=760e^(-0.145h)	$286 = 760 e^{- 0.145 h}$
36060	Convert to Logarithmic Form	2P=Pe^0.026	$2 P = P e^{0.026}$
36061	Convert to Logarithmic Form	2pi=arcsin(0.7669)	$2 π = \arcsin (0.7669)$
36062	Convert to Logarithmic Form	3(2^x)=42	$3 (2^{x}) = 42$
36063	Convert to Logarithmic Form	3(e^(1+t))=2	$3 (e^{1 + t}) = 2$
36064	Convert to Logarithmic Form	3(1+10^(2x))=8	$3 (1 + 10^{2 x}) = 8$
36065	Convert to Logarithmic Form	3(1+10^(7x))=5	$3 (1 + 10^{7 x}) = 5$
36066	Convert to Logarithmic Form	3.2=7^x	$3.2 = 7^{x}$
36067	Convert to Logarithmic Form	3.5=a^7	$3.5 = a^{7}$
36068	Convert to Logarithmic Form	3.9=6^x	$3.9 = 6^{x}$
36069	Convert to Logarithmic Form	a=15000e^(8*0.0425)	$a = 15000 e^{8 \cdot 0.0425}$
36070	Convert to Logarithmic Form	a=15500(1+0.0575/4)^(4(30000))	$a = 15500 {(1 + \frac{0.0575}{4})}^{4 (30000)}$
36071	Convert to Logarithmic Form	a=16e^(-0.00012t*8220)	$a = 16 e^{- 0.00012 t \cdot 8220}$
36072	Convert to Logarithmic Form	a=16000(1+4/1)^(1*15)	$a = 16000 {(1 + \frac{4}{1})}^{1 \cdot 15}$
36073	Convert to Logarithmic Form	a=1700e^(0.066t)	$a = 1700 e^{0.066 t}$
36074	Convert to Logarithmic Form	A=2003e^(0.033t(448))	$A = 2003 e^{0.033 t (448)}$
36075	Convert to Logarithmic Form	A=P(1+r/n)^(nt)	$A = P {(1 + \frac{r}{n})}^{n t}$
36076	Convert to Logarithmic Form	an=(1+(-1)^n)/(2n)
36077	Convert to Logarithmic Form	arctan(0.5)=arctan(0.5)	$\arctan (0.5) = \arctan (0.5)$
36078	Convert to Logarithmic Form	b=e^5	$b = e^{5}$
36079	Convert to Logarithmic Form	c(0)=(50t)/(t^2+25)	$c (0) = \frac{50 t}{t^{2} + 25}$
36080	Convert to Logarithmic Form	c(n)=(((-1)^n)/((n+1)(n+2)))	$c (n) = (\frac{{(- 1)}^{n}}{(n + 1) (n + 2)})$
36081	Convert to Logarithmic Form	c = square root of 2^2+9^2	$c = \sqrt{2^{2} + 9^{2}}$
36082	Convert to Logarithmic Form	cos(390)=cos(330+60)	$\cos (390) = \cos (330 + 60)$
36083	Convert to Logarithmic Form	cos(43.3)=(21.1^2+17.9^2-14.7^2)/(221.117.9)	$\cos (43.3) = \frac{{21.1}^{2} + {17.9}^{2} - {14.7}^{2}}{2 \cdot 21.1 \cdot 17.9}$
36084	Convert to Logarithmic Form	cos(47)=17.6/24	$\cos (47) = \frac{17.6}{24}$
36085	Convert to Logarithmic Form	cos(53)=-pi/3	$\cos (53) = - \frac{π}{3}$
36086	Convert to Logarithmic Form	e=((1.710^3)-(3.310^2))/(1.7*10^3)	$e = \frac{(1.7 \cdot 10^{3}) - (3.3 \cdot 10^{2})}{1.7 \cdot 10^{3}}$
36087	Convert to Logarithmic Form	e=mc^2	$e = m c^{2}$
36088	Convert to Logarithmic Form	f(-12/5)=5(-12/5)^2+24(-12/5)-5	$f (- \frac{12}{5}) = 5 {(- \frac{12}{5})}^{2} + 24 (- \frac{12}{5}) - 5$
36089	Convert to Logarithmic Form	f( square root of 3)=4^(x+1)	$f (\sqrt{3}) = 4^{x + 1}$
36090	Convert to Logarithmic Form	f(0)=574(1.026)^0	$f (0) = 574 {(1.026)}^{0}$
36091	Convert to Logarithmic Form	f(1)=(1)^4+3(1)^3+8(1)^2+18+12	$f (1) = {(1)}^{4} + 3 {(1)}^{3} + 8 {(1)}^{2} + 18 + 12$
36092	Convert to Logarithmic Form	f(1)=0^2	$f (1) = 0^{2}$
36093	Convert to Logarithmic Form	f(1)=1250e^(-0.255*1)	$f (1) = 1250 e^{- 0.255 \cdot 1}$
36094	Convert to Logarithmic Form	f(1)=2(1)^2	$f (1) = 2 {(1)}^{2}$
36095	Convert to Logarithmic Form	f(1.3)=1.3^5-1.3^4+6(1.3)^3-2(1.3)^2*(16(1.3))+10	$f (1.3) = {1.3}^{5} - {1.3}^{4} + 6 {(1.3)}^{3} - 2 {(1.3)}^{2} \cdot (16 (1.3)) + 10$
36096	Convert to Logarithmic Form	f(1.5)=e^1.5	$f (1.5) = e^{1.5}$
36097	Convert to Logarithmic Form	f(10)=0.002(10^4)-0.1110^3+1.77(10^3)-8.610+31	$f (10) = 0.002 (10^{4}) - 0.11 \cdot 10^{3} + 1.77 (10^{3}) - 8.6 \cdot 10 + 31$
36098	Convert to Logarithmic Form	f(10)=(120^(2+900+4000))/(1^(2+3))	$f (10) = \frac{120^{2 + 900 + 4000}}{1^{2 + 3}}$
36099	Convert to Logarithmic Form	f(10)=15000e^((-0.05)(10))	$f (10) = 15000 e^{(- 0.05) (10)}$
36100	Convert to Logarithmic Form	f(10)=800e^(-0.0245*10)	$f (10) = 800 e^{- 0.0245 \cdot 10}$