armonveney armonveney
  • 01-12-2017
  • Mathematics
contestada

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

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altavistard
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 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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