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How do you simplify #ln ( 8 / e^7 )#?

1 Answer

A. S. Adikesavan

May 8, 2016

#3 ln 2 - 7 = -4.92#, nearly.

Explanation:

Use #ln (m/n) = ln m - ln n, ln a^n=n ln a and ln e = 1#

#ln (8/e^7)=ln8-ln(e^7)#

#= ln 2^3-ln e^7#

#=3 ln 2-7 ln e = 3 ln 2-7(1)#

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