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Solve for x
log5 (51/x + 125) = log5 6 + 1 + 1/2x
Log(51/x + 125) = log(6) + log(5) + log (51/2x)
= log(6.5.51/2x)
= log(30.51/2x)
cancelling log from both sides we get
52/2x + 125 = 30.51/2x
now put 51/2x = y ,
we get,
y2 + 125 = 30y
y2 - 30y + 125 = 0
(y - 5)(y - 25) = 0
from here we get y = 5 or 25
so x can be 1/2 or 1/4 .
Dude, you cannot just cancel log.. Appy 5 power on both sides
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