SOLUTION: I have to answer this expontioal equation using logs question and I am stuck help please N = 901 x 1.036t t stands for years and n number of journeys, need to find year when

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I have to answer this expontioal equation using logs question and I am stuck help please N = 901 x 1.036t t stands for years and n number of journeys, need to find year when      Log On


   



Question 484753: I have to answer this expontioal equation using logs question and I am stuck help please
N = 901 x 1.036t
t stands for years and n number of journeys,
need to find year when journeys exceed 15 million
using logs.
please show workings so I can understand

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I have to answer this expontioal equation using logs question and I am stuck help please
N = 901 x 1.036t
t stands for years and n number of journeys,
need to find year when journeys exceed 15 million
using logs.
please show workings so I can understand
***
I will assume "t" in the given equation is an exponent instead of a multiplier
N = 901 x 1.036^t
Taking the log of both sides using the multiplication and exponent rules.
log 15000000=log 901+t*log 1036
log 15000000-log 901= t*log 1036
t=log 15000000-log 901/log 1036
t=1.4 yrs