100e^(2x) = 600
2007-07-18 08:49:16 · 7 answers · asked by NONAME 2 in Science & Mathematics ➔ Mathematics
100e^(2x) = 600
e^(2x) = 6
2 x = ln 6
x = ln 6 / 2
2007-07-18 08:53:03 · answer #1 · answered by oregfiu 7 · 1⤊ 1⤋
100e^(2x) = 600
ln(100e^(2x)) = ln(600)
The left side is
ln(100) + 2x
So now you have
ln(100) + 2x = ln(600)
Add -ln(100) to both sides
2x =ln(600) - ln(100) = ln(600/100) = ln(6)
Multiply both sides by 1/2
x = (1/2)ln(6) = ln(â6)
2007-07-18 16:04:18 · answer #2 · answered by gugliamo00 7 · 0⤊ 1⤋
100e^(2x) = 600
100e^(2x)/100 = 600/100
e^(2x) = 6
ln e^(2x) = ln 6
2x = ln 6
x = (ln 6)/2
x = 0.8959
2007-07-18 15:55:27 · answer #3 · answered by sdb deacon 6 · 0⤊ 1⤋
100e^(2x) = 600
e^(2x) = 6
2x = ln 6
x = 2(ln 6)
so........x = 0.8959
2007-07-18 16:00:18 · answer #4 · answered by Just.Dako. 2 · 0⤊ 1⤋
e^2x = 6, and take ln of each side:
2x = ln(6)
x = .5*ln(6) = .896 (rounded)
2007-07-18 15:54:02 · answer #5 · answered by John V 6 · 0⤊ 1⤋
Sit next to the smart kid.
2007-07-18 15:52:07 · answer #6 · answered by MensaMan 5 · 1⤊ 3⤋
punch yourself in the face and do your own home work.
2007-07-18 15:51:36 · answer #7 · answered by Anonymous · 0⤊ 3⤋