SOLUTION: Log8base4+log2base4
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Question 1016883: Log8base4+log2base4
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Question:
Evaluate Log8base4+log2base4
Solution:
We will need basic definition of log x to the base b, and some laws of logarithms:
y=logbx means by=x
hence
logbb=1
and
log(a)+log(b)=log(ab)
log(a²)=2log(a)
log4(8)+log4(2)
=log4(8*2)
=log4(16)
=log4(4^2)
=2log4(4)
=2*1
=2