SOLUTION: I need step by step explanations for problems like {{{log(b)(x^2-15)=log(b)(6x+1)}}}

Question 398624: I need step by step explanations for problems like
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Suppose I say
and

Then I can rewrite equation as:

The main thing to keep in mind is "logs are exponents"
This equation says:
The log to the base which gives me is equal to
the log to the base which gives me
--------------------------------------------
This is 2 logs equal to each other, so I can say that log =
is true
is true
So, must be true
and, since I said
and

It follows

By looking at it, I see

The solutions are:
and

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