8). The relationship between the elapsed time t, in hours, since he took the first dose, and the amount of medication, M(1), in milligrams (mg), in his bloodstream is modeled by the following function: M(1) = 10 .e0.752
In how many hours will Carlos have 1 mg of medication remaining in his bloodstream? Round to the nearest
hundredth if necessary.

sorry i need the points

step-by-step explanation:

biuuyb i\

uygybg bsyvyuenrs

ufir7gyuuf6

y6fy

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)