Question

How do you solve for t in this equation?
15000e^0.0257t = 10000e^0.0287t

Answer 1

Hi

15000(2.718282^0.0257)t = 10000(2.718282^0.0287)

Ok now let's begin the work by simplify

15390.496386t = 10291.158134t

Now what ?

Now we have two Ts that give us trouble so we need to eliminate one of them. How ?

We gonna eliminate the one that on the right side by Adding 10291.158134t to both sides.

15390.496386t- 10291.158134t = 10291.158134t-10291.158134t

5099.338252t = 0 (see? we eliminate one of the T)well done:)

T= 0/5099.338252

T= 0

That is the answer for your question Sir.

I hope that's help.. Please rate ↓↓

Answer 2

15000e^0.0257t = 10000e^0.028t
ln (15000e^0.0257t) = ln (10000e^0.028t)
ln 15000 + ln e^0.0257t = ln 10000 + ln e^0.028t
ln e^0.0257t - ln e^0.028t = ln 10000 - ln 15000
0.0257t (ln e) - 0.028t (ln e) = - 0.4055
- 0.0023t = -0.4055
t = 0.4055 / 0.0023
t = 176.3