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Which of the following shows the true solution to the logarithmic equation below ? Log(x)+log(x+5)=log(6x+12)
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3 votes
Which of the following shows the true solution to the logarithmic equation below ? Log(x)+log(x+5)=log(6x+12)

User Gaetan Dubar
by
7.8k points

2 Answers

5 votes

Answer:

x = 4

Explanation:

User Shakyra
by
8.7k points
4 votes
the equation can be rewritten as: Log(x*(x+5))=Log=(6x+12)
so x(x+5)=6x+12
x^2+5x=6x+12
x^2-x-12=0
(x+3)(x-4)=0
x=-3 or x=4
x cannot be negative here, so x=4 is the only solution
User Ondrej Rafaj
by
8.6k points
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