SOLUTION: log3(a-2)+log3(a-2)=2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log3(a-2)+log3(a-2)=2      Log On


   

Question 255651: log3(a-2)+log3(a-2)=2
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The original problem is:
log3%28a-2%29%2Blog3%28a-2%29=2
using the addition rule, we get
log_3%28a-2%29%5E2+=+2
rewriting as exponents, we get
3%5E2+=+%28a-2%29%5E2
and solving for x, we get
a = 5.