Question

How do you solve the equation 7^(7n+7)=2,401 ?

Answer 1

Take a log on both sides. You get (7n+7)*log(7) = log(2401)
7n + 7 = log (2401)/log(7)

Now solve for n.

Answer 2

easier way to do:
7^(7n+7)=2,401
7^(7n+7)=7^4
compare 7n+7 with 4
7n+7=4
7n=4-7=-3
n=-3/7

Answer 3

Well, that might be easier for this one problem. But, not the best approach for a more generic one. Taking "log" will always lead to the right answer.

Answer 4

yes :) i agree, there are problems which need to use log to solve. but in this question using log is harder :)