SOLUTION: Determine the larger root of the following equation: log(z) + log(z + 19) = 2 log(z + 2). (Please round your answer to two decimal places.) Answer

Question 453070: Determine the larger root of the following equation:
log(z) + log(z + 19) = 2 log(z + 2).
(Please round your answer to two decimal places.)

Answer

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Determine the larger root of the following equation:
log(z) + log(z + 19) = 2 log(z + 2).
:
log(z(z+19)) = 2 log(z+2)
:
log(z^2+19z) = log((z+2)^2)
therefore
z^2 + 19z = (z+2)^2
z^2 + 19z = z^2 + 4z + 4
z^2 - z^2 + 19z - 4z = 4
15z = 4
z =
z = .267 is the only root
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