SOLUTION: Here is the problem: 3^(x-6) = 1/243 Here is what I've tried. I don't know if I got it wrong or right. I just want to see if I'm on the right path or not. Thanks for the hel

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Here is the problem: 3^(x-6) = 1/243 Here is what I've tried. I don't know if I got it wrong or right. I just want to see if I'm on the right path or not. Thanks for the hel      Log On


   

Question 692589: Here is the problem:
3^(x-6) = 1/243
Here is what I've tried. I don't know if I got it wrong or right. I just want to see if I'm on the right path or not. Thanks for the help!
ln 3^(x-6) = 1/243
x-6 = 1/243
x = 6.004
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3%5E%28x-6%29+=+1%2F243+
1st, I checked, and +1%2F243+=+1%2F%28+3%5E5%29+
+1%2F%28+3%5E5+%29+=+3%5E%28-5%29+
Now I have
+3%5E%28x-6%29+=+3%5E%28-5%29+
+x+-+6+=+-5+
+x+=+6+-+5+
+x+=+1+
----------
check:
+3%5E%281-6%29+=+1%2F243+
+3%5E%28-5%29+=+1%2F243+
This is what I already showed