So i have this problem that i am supposed to simplify to a single logarithm or single exponential.

Log3(5) * Log5(3)

So far i have

ln(5/3) * ln(3/5)

how do i simplify this even more? is there a rule for multiplying two natural logs? thanks!

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- March 3rd 2010, 08:11 PMbreaksimplify natural log times natural log
So i have this problem that i am supposed to simplify to a single logarithm or single exponential.

Log3(5) * Log5(3)

So far i have

ln(5/3) * ln(3/5)

how do i simplify this even more? is there a rule for multiplying two natural logs? thanks! - March 3rd 2010, 08:29 PMpickslides
Are you sure this is correct?

I get

and

therefore

- March 3rd 2010, 10:31 PMbreak