SOLUTION: Please show how to do it. Solve the equation. log base 2 (2x+8) - log base 2 (2x^2+21x+61) = -3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please show how to do it. Solve the equation. log base 2 (2x+8) - log base 2 (2x^2+21x+61) = -3      Log On


   

Question 380172: Please show how to do it.
Solve the equation.
log base 2 (2x+8) - log base 2 (2x^2+21x+61) = -3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




First use "The difference of the logs is the log of the quotient"





Then use the definition of the logarithm function:





So:





Then just solve the factorable quadratic.


John

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