SOLUTION: P=13500+22ln(t+1), where t is th etime in years from the present. In how many years will there be 18,000 omsects?(round to the nearest tenth of a year). 18,000=13,500+22ln(t+1)

Algebra.Com
Question 240616: P=13500+22ln(t+1), where t is th etime in years from the present. In how many years will there be 18,000 omsects?(round to the nearest tenth of a year).
18,000=13,500+22ln(t+1)
4,500=22ln(t+1)
204.5=ln(t+1)

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
You are correct so far.

18,000=13,500+22ln(t+1)
4,500=22ln(t+1)
204.5=ln(t+1)

The next step is to "undo" the ln function. You can do this by raising both sides as a power of "e".




Now, subtract 1 from each side:
, which is approximately 6.5046*10^88 years, which is one HECK of a long time!! Are you sure you copied this problem correctly?? Are all the units given in years???

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

RELATED QUESTIONS

The formula S=C(1+r)^t models inflation, where C=the value today, r= the annual inflation (answered by ikleyn)
the amount of radioactive c^14 present in an object is given by Q(t)=Q0t^-0.000121t,... (answered by josgarithmetic)
Select the functions that are equivalent to A(t) = 5,000 (0.976 )^t , Where t is the... (answered by ikleyn)
The pay for a mathematics major graduating from college is given by the formula P = 47 , (answered by ankor@dixie-net.com)
The pay for a mathematics major graduating from college is given by the formula P = 47 , (answered by ikleyn)
Could someone help me with this problem? Suppose a town experiences population decline... (answered by stanbon)
Cesium 137 is a radioactive metal with a short half-life of 30 years. In a sample... (answered by ikleyn)
A computer purchased for $650 loses 18% of its value every year. The computer's value... (answered by josgarithmetic)
Please Help Me!!!! Suppose instead that the town experiences quadratic growth of the... (answered by RAY100)