Solving Limit Involving Logarithms

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Hi! I'm having trouble solving this limit:

lim x->infinite ln(1+2^x)ln(1+3/x)

Revelation
 
on Phys.org
The limit has the form infinity*0. That would suggest l'Hopital's rule, wouldn't it? Change the form to 0/0 or infinity/infinity.
 

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