SOLUTION: Solve the equation. Show algebraic work that fully supports your answer. Exact answers only, no decimal approximations. log4(2𝑥) − log4(𝑥 − 3) = 1

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Solve the equation. Show algebraic work that fully supports your answer. Exact answers only, no decimal approximations. log4(2𝑥) − log4(𝑥 − 3) = 1      Log On

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Question 1104565: Solve the equation. Show algebraic work that fully supports your answer. Exact answers only, no decimal approximations.
log4(2𝑥) − log4(𝑥 − 3) = 1

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
log 4 {(2x)/(x-3) }=1
raise everything to the 4
that becomes 2x/(x-3)=4
2x=4x-12
-2x=-12
x=6
log 4(12)-log4(3)=1 checks since log 4 (12/3)=1