armonveney armonveney

01-12-2017
Mathematics

contestada

Express this equation in logarithmic form. 2^3 = 8

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altavistard altavistard

01-12-2017

take the natural log of both sides:

ln 2^3 = ln 8, or 3 ln 2 = ln 8, following rules of logs.

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mathmate mathmate

01-12-2017

Definition of log:
Log (base b) (x) = y or equivalently
if b^y = x then Log (base b) (x) = y

Given 2^3=8
set x=8, b=2, y=3
take log (to base 2) on both sides, then
log(base 2) 8 = 3

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