How do you simplify #ln(3sqrte^13 ) #?

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Answer 1 · 2016-11-11T16:42:02

#=ln3+6.5#

#ln(3sqrte^13 )#

First expand it by using the log rule: #ln(ab) = lna+lnb#

#=ln3 + lnsqrte^13#

We can rewrite the second term as #ln(e^(13/2))#

#=ln3+ln(e^(13/2))#

#=ln3+13/2lne#

#=ln3+6.5#