SOLUTION: log8 (3x+7) = log8 (7x+4) do you cancel the logs out to solve this problem? or how do you solve this problem?

Question 211288: log8 (3x+7) = log8 (7x+4) do you cancel the logs out to solve this problem? or how do you solve this problem?
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are correct. Remember that if , then

In your case, since , this means
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
log8 (3x+7) = log8 (7x+4)
-------------------
If the logs (with the same base) are equal, then the expressions are equal.
3x+7 = 7x+4
4x = 3
x = 3/4
--------
3x+7 = 37/4
7x+4 = 37/4

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