SOLUTION: what is log2(x-2) +log2 (x+2) = 5? Thank you.

Question 195202: what is log2(x-2) +log2 (x+2) = 5? Thank you.
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
all logs are base 2

log2 (x-2) +log2 (x+2) = 5

log2[ (x-2)(x+2) ] = 5

(x-2)(x+2) = 2^5

(x-2)(x+2) = 32

x^2-4 = 32

x^2 = 36

x = -6 (extraneous) or x = 6

Ans: only solution is x = 6
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