SOLUTION: Solve the following equation for the variable x. log (2x+6)=log7 The solution set is (Simplify your answer. Type an integer or a fraction.)

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Question 423005: Solve the following equation for the variable x.
log (2x+6)=log7
The solution set is
(Simplify your answer. Type an integer or a fraction.)

Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
Solve: In this equation the terms on both sides of equation to be equal needed that expressions under the sign of log. to be equal, therefore:
2x+6=7 => 2x=1 => x=1/2.
Answer: The root of this logarithmic equation is 1/2.

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