How do you evaluate #ln(1/sqrt e^7)#?

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How do you evaluate #ln(1/sqrt e^7)#?

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Answer 1 · 2016-03-22T16:34:42

#ln(1/sqrte ^7) = -7/2#

Explanation:

#ln(1/sqrte ^7)#
#=ln 1 - lnsqrte^7#-> use property #log_b(x/y)=log_bx-log_by#
#=0-lne^(7/2)# ->#ln 1=0#
#=-7/2 ln e#->use property #log_b x^n=n*log_bx#
#=-7/2 * 1#-># ln e =1#
#=-7/2#

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How do you evaluate #ln(1/sqrt e^7)#?

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