SOLUTION: Solve a) log(base 5)(x^2 - 4) - log(base 5)(4) = log(base 5)(3) b) log(base 5)(x+2) = 1 - log(base 5)(x-2) c) log(base 5)(x^2-4) = 1 Can you please help me out? Thanks so muc

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve a) log(base 5)(x^2 - 4) - log(base 5)(4) = log(base 5)(3) b) log(base 5)(x+2) = 1 - log(base 5)(x-2) c) log(base 5)(x^2-4) = 1 Can you please help me out? Thanks so muc      Log On


   

Question 867263: Solve
a) log(base 5)(x^2 - 4) - log(base 5)(4) = log(base 5)(3)
b) log(base 5)(x+2) = 1 - log(base 5)(x-2)
c) log(base 5)(x^2-4) = 1
Can you please help me out? Thanks so much in advance:)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Question (a) looks like the more complicated one.

log%285%2C%28x%5E2-4%29%29-log%285%2C4%29=log%285%2C3%29
log%285%2C%28%28x%5E2-4%29%2F4%29%29=log%285%2C3%29
The inputs are to the same base, and so must be equal.
%28x%5E2-4%29%2F4=3
x%5E2-4=12
x%5E2=16
x=0%2B-+4