SOLUTION: Solve a) log(base 3)(a-3) =1 + log(base 3)(a+1) Can you please help me out? Thanks so much in advance:)

Question 810576: Solve
a) log(base 3)(a-3) =1 + log(base 3)(a+1)
Can you please help me out? Thanks so much in advance:)
Answer by Okeke_Christian(26) (Show Source): You can put this solution on YOUR website!
log(base 3)(a-3)=1 + log(base 3)(a+1)
Collect similar terms
log(base 3)(a-3)-log(base 3)(a+1)=1
but log(base x)(x)=1
Our equation becomes;
log(base 3)(a-3)-log(base 3)(a+1)=log(base 3)3
log(base 3)[(a-3)/(a+1)]=log(base 3)3
Divide through by log(base 3)

Cross multiply

Collect like terms

Divide through by -2

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