.
a culture starts at 1000 bacteria and doubles every 60 minutes 
how long it take the number of bacteria to reach 5,000
~~~~~~~~~~~~~~~~~~~~
60 minutes = 1 hour, so I will find the time in hours.
In hours, the growth exponential formula is
    N(t) = .
So we write
    5000 = ,
     = 
    5 = 
Take logarithm base 2
     = t
    t = use your calculator = 2.322  hours  (rounded).
ANSWER.  2.322 hours,  or 2 hours 19 minutes and 19 seconds (approximately).
Solved.
--------------------
To see many other similar and different solved problems on bacteria growth,  look into the lesson
    - Bacteria growth problems 
in this site.
Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Logarithms".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.