Question 32668
This problem uses a variable in an equation so the easier way to solve would be using logarithms.  So, your equation1.1^t=1.4641 the first thing to do would be to take the log of both sides. log (1.1^t)= log(1.4641).  Then, using the law of logs, we can take the exponent (t) in front of the log so now t(log 1.1) = log (1.4641).  We want to isolate the variable next so divide log1.1 on both sides so t = (log1.4641)/(log1.1).  Punch those in your calculator log 1.4641=.1655707 (approx) and log(1.1)=.0412937.  Divide those two numbers (.1655707)/(.0412937) and t=4.  If you check your problem, (1.1)^4=1.4641. Yep, it checks.  Here's the problem again without the explanation:

1.1^t=1.4641
log (1.1^t)= log(1.4641)
t(log 1.1) = log (1.4641)
t = (log1.4641)/(log1.1)
t = (.1655707)/(.0412937)
t = 4