SOLUTION: Could someone please assist me by solving this logarithmic equation step-by-step for future reference. Thank you. log(7y + 1) = 2log(y+3)-log2

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Question 104689: Could someone please assist me by solving this logarithmic equation step-by-step for future reference. Thank you.
log(7y + 1) = 2log(y+3)-log2

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Some rules to remember



Now let's look at your example.

Bring the variable expressions to one side.
Power rule from above both sides.
Division rule from above.
Inverse function both sides.
Multiply both sides by
Distribute and expand.
Group all terms on one side.
Factor the equation.
and . Two solutions.
Verify your answer



Power and division rule, right hand side.

Good answer.



Power and division rule, right hand side.

Good answer.

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