SOLUTION: Given that log2=0.3010, evaluate each expression WITHOUT using a calculator. Give solutions to 3 decimal places: A)log5 B)log1/8 C)log2(2 is the base)5 D)10^(3log2-log4) Tha

Question 931786: Given that log2=0.3010, evaluate each expression WITHOUT using a calculator. Give solutions to 3 decimal places:
A)log5
B)log1/8
C)log2(2 is the base)5
D)10^(3log2-log4)
Thanks in advance.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given that log2=0.3010, evaluate each expression WITHOUT using a calculator. Give solutions to 3 decimal places:
A)log5=log(10/2)=log(10)-log(2)=1-.3010=0.699
..
B)log1/8=log(1/2^3)=log(2^-3)=-3log2=-3(.3010)-0.903
..
C)log2(2 is the base)5=
change of base(base2 to base 10)
log(5)/log(2)=0.699/.3010=2.322
..
D)10^(3log2-log4)=10^(3log(2)-2log(2))=10^(log(2)=10^(.3010)=2
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