SOLUTION: Use log4^3=0.7925 and log4^4=1 to approximate the value of the expression log4^384 Show all work please and explain if you could

Question 618152: Use log4^3=0.7925 and log4^4=1 to approximate the value of the expression log4^384
Show all work please and explain if you could
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use log4^3=0.7925 and log4^4=1 to approximate the value of the expression log4^384
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You mean log base 4, not exponents.
^ is exponentiation.
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384 = 3*128 = 3*4^3*4^(1/2)
log(384) = log(3) + 3*log(4) + (1/2)*log(4) with any consistent base
= 0.7925 + 3 + 0.5
= 4.2925

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