Question

how would u solve for t if t is on the exponent??

Answer 1

\[0.1 = 0.5e ^{-250t}\]

Answer 2

make ln. on both sides so what will get ?

Answer 3

no sorry first divide both sides by 0,5 so what will get ?

Answer 4

0,1 = 0,5e^-250t divide both sides by 0,5 and will get

0,1/0,5 = e^-250t but you know that e^-250t = 1/(e^250t) yes ?

Answer 5

0,1/0,5 = 0,2

0,2 = 1/e^250t multiply both sides by e^250t and will get

0,2*e^250t = 1 divide both sides by 0,2

e^250t = 1/0,2

e^250t = 5 make ln on both sides

ln e^250t = ln5

250t ln e = ln5

250t = ln5

t = ln5/250

Answer 6

@Nnesha your opinion please ? ty.

Answer 7

why are we multiplying by `e^{-250t} `

Answer 8

not by -250t just by 250t bc. there is 250t in denominator

Answer 9

jeez i lost all the work ohh my lord gzzzz one misssssclick...

Answer 10

e^-250t = 1/e^250t

yes bc. there is exponent with minus in front

Answer 11

\[\large\rm 0.1 =0.5 e^{-250t}\]
like jhonny mentioned divide both sides by .5
\[\large\rm \frac{0.1}{0.5}=\frac{0.5}{0.5}e^{-250t}\]

\[\large\rm 0.2 = e^{-250t}\]
now take ln both sides

Answer 12

no we don't need to do that once we take ln e would cancel out left with
ln(0.2)=-250t

Answer 13

and then simply solve for t :=))

Answer 14

so this mean that my above wrote work not is right ?

Answer 15

yes i think so
i believe that step is not necessary we should not be care about negative exponent because we know the fact ln and e cancel each otherz out