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Please help me with my Pre-Cal!
A population of bacteria is growing according to the equation P(t)=800e^0.13t.
Use a graphing calculator to estimate when the population will exceed 1474.
T=?
Please help me! Thanks so much.

Respuesta :

trevordoyleione

when is

1474  = 800e^0.13t.

/800     /800

1.8425 = e^0.13t.

ln 1.8425  =  ln e^0.13t.  (us natural lg LN on your calc)

ln 1.8425  =   0.13t  ln e  (ln e is 1)

ln 1.8425  =   0.13t

/0/13               /0.13

ln 1.8425/0.13  = t

answer is number of years

in your calc type

(ln(1.8425))/0.13


good job