SOLUTION: I am having trouble with this problem: 2log3(x+4)-log3(9)=2 Thank you.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I am having trouble with this problem: 2log3(x+4)-log3(9)=2 Thank you.      Log On


   

Question 1079748: I am having trouble with this problem:
2log3(x+4)-log3(9)=2
Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2%2Alog%28+3%2C+x%2B4+%29+-+log%28+3%2C9+%29+=+2+
I can make the substitution:
+2+=+log%28+3%2C9+%29+
+2%2Alog%28+3%2C+x%2B4+%29+-+log%28+3%2C9+%29+=+log%28+3%2C9+%29+
+2%2Alog%28+3%2C+x%2B4+%29+=+2%2Alog%28+3%2C9+%29+
+log%28+3%2C+x%2B4+%29+=+log%28+3%2C9+%29+
+x%2B4+=+9+
+x+=+5+
------------------
check answer:
+2%2Alog%28+3%2C+x%2B4+%29+-+log%28+3%2C9+%29+=+2+
+2%2Alog%28+3%2C+5%2B4+%29+-+log%28+3%2C9+%29+=+2+
+2%2Alog%28+3%2C+9+%29+-+log%28+3%2C9+%29+=+2+
+log%28+3%2C9+%29+=+2+
Writing this in inverse form:
+3%5E2+=+9+
OK