SOLUTION: Hi there I have a problem and I'd like feedback to make sure I"m on the right track: 8^6x+1 = 64 and I'm coming up with 1/6 Am I on the right path? Thank you so much for your

Algebra ->  Expressions-with-variables -> SOLUTION: Hi there I have a problem and I'd like feedback to make sure I"m on the right track: 8^6x+1 = 64 and I'm coming up with 1/6 Am I on the right path? Thank you so much for your      Log On


   



Question 1040434: Hi there I have a problem and I'd like feedback to make sure I"m on the right track:
8^6x+1 = 64 and I'm coming up with 1/6
Am I on the right path? Thank you so much for your help!

Found 2 solutions by ikleyn, jim_thompson5910:
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
.
8%5E%286x%2B1%29 = 64.

8%5E%286x%2B1%29 = 8%5E2.   ( 64 = 8%5E2 ! )

Hence, 

6x+1 = 2.

Then 6x = 2-1 = 1  and  x = 1%2F6.

Answer.  x = 1%2F6.

Solved.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the original problem is 8%5E%286x%2B1%29+=+64 where the "6x+1" is all in the exponent, then yes, you have the right answer.