SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log 2 (x + 2) + log 2 (x -
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Question 245558: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log 2 (x + 2) + log 2 (x - 4) = 4
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
log 2 (x + 2) + log 2 (x - 4) = 4
2^(log 2 (x + 2)) * 2^( log 2 (x - 4)) =2^4
(x+2)(x-4)=16
x^2-2x-8=16
x^2-2x-24=0
(x-6)(x+4)=0
x=6
.
Ed
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