I am guessing but I would bet ready money that your question shouldOriginally Posted byfloridaboatkid

read somethink like:

"There is eactly one real number k for which the equation

(log_3(x))(log_5(x)) =k

has only one real solution for x. What is the value of x"

Where log_b denotes the log to base b.

So lets assume your question is:

"There is eactly one real number k for which the equation

has only one real solution for x. What is the value of x"

as your equation becomes:

or:

Then the condition of the problem implies that

as otherwise there will be two solution for , so:

or

Quite Easily Done (aka QED )

RonL