Solve the exponential equation: e^-t=0.04
2007-04-18 17:21:45 · 6 answers · asked by xtaticlyme 2 in Science & Mathematics ➔ Mathematics
in order to "undo" e, we must use ln
ln(e^x) = x
log each side
ln(e^-t) = ln(0.04)
-t = ln(0.04)
t = - ln(0.04)
:)
which can simplify to ln(25)
because 4/100 ^ (-1) = 25
2007-04-18 17:24:28 · answer #1 · answered by Anonymous · 0⤊ 0⤋
e^x+3=8 ***subtract 3 from the two aspects e^x = 5 ***place "ln" in front of the e and the 5 lne^x = ln5 ***the "lne" equals a million so as that leaves... x = ln 5 answer OR (merely plug Ln5 into the calc to get specific numbers)
2016-12-29 08:53:45 · answer #2 · answered by ? 3 · 0⤊ 0⤋
just get the natural log of 0.04 and then negate the answer. it's simple algebra. how old are you by the way? and what level are you in?
2007-04-18 17:26:05 · answer #3 · answered by Techno_titan 4 · 0⤊ 0⤋
Transforming, we get e^t = 25, so t is about 3. A more exact value can be had with a book of tables or a scientific calculator.
2007-04-18 17:26:23 · answer #4 · answered by Anonymous · 0⤊ 0⤋
t = -ln(0.04) = 3.21887582
2007-04-18 17:32:49 · answer #5 · answered by ag_iitkgp 7 · 0⤊ 0⤋
e^-t = .04
change to exponental function
-t = ln(.04)
t = - ln(.04)
2007-04-18 17:24:30 · answer #6 · answered by 7 · 0⤊ 0⤋