SOLUTION: Use your calculator to evaluate each expression a) log(base 2)3000 b) log(base 2)300 c) log(base 2)30 d) log(base 2)3 e) log(base 2)0.3 f) log(base 2)0.03 g) log(base 2)0.00

Question 744925: Use your calculator to evaluate each expression
a) log(base 2)3000
b) log(base 2)300
c) log(base 2)30
d) log(base 2)3
e) log(base 2)0.3
f) log(base 2)0.03
g) log(base 2)0.003
h) log(base 2)0.0003
Can you find a pattern in the following results?

Can you please help me out? Thanks so much in advance:)
Can you also show all the steps because it would help me understand :)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use your calculator to evaluate each expression
a) log(base 2)3000 = log2(3)+log2(1000)
b) log(base 2)300 = log2(3)+log2(100)
c) log(base 2)30 = log2(3)+log2(10)
d) log(base 2)3
e) log(base 2)0.3 = log2(3)-log(10)
f) log(base 2)0.03 = log2(3)-log(100)
g) log(base 2)0.003 = log2(3)-log(1000)
h) log(base 2)0.0003 = log2(3)-log(10000)
============
Cheers,
Stan H.

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