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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 398624: I need step by step explanations for problems like Answer by josmiceli(9697)   (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