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log 2x - log (x-5) = log 5

We know that:

log a - log b = log a/b

==> log (2x/(x-5)= log 5

==> 2x/(x-5) = 5

Now cross multiply:

==> 2x = 5(x-5)

==> 2x = 5x - 25

==> 3x = 25

==> x = 25/3

Approved by eNotes Editorial Team