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ln(1/x) + lnx = 0
lnx = -ln(1/x)
Replace 1/x by x-1
lnx = -ln(x-1)
Use rule lnBA = AlnB
lnx = -(-1)lnx
lnx = lnx
Thus this is an identity for all values of x
for which lnx is defined. lnx is defined for
all positive x, so the solution set is
{x|x > 0} or (0, ¥)
Edwin
AnlytcPhil@aol.com