SOLUTION: If log(base 2)5 = x simplify each logarithm a) log(base 2)20 b) log(base 2)100 c) log(base 2)10√5 d) log(base 2)(³√5/2) Can you please help me out? Thanks so muc

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If log(base 2)5 = x simplify each logarithm a) log(base 2)20 b) log(base 2)100 c) log(base 2)10√5 d) log(base 2)(³√5/2) Can you please help me out? Thanks so muc      Log On


   

Question 744928: If log(base 2)5 = x simplify each logarithm
a) log(base 2)20
b) log(base 2)100
c) log(base 2)10√5
d) log(base 2)(³√5/2)
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) About Me  (Show Source):
You can put this solution on YOUR website!
If log(base 2)5 = x simplify each logarithm
a) log(base 2)20 = log2(4)+log2(5) = 2 + x
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b) log(base 2)100 = log2(4*25) = log2(4)+log2(25) = 2 + 2log2(5) = 2 + 2x
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c) log(base 2)10√5 = log2[2*5^(3/2)] = log2(2)+(3/2)log2(5) = 1 + (3/2)x
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d) log(base 2)(³√5/2) = log2(5^(1/3))-log2(2) = (1/3)x - 1
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Cheers,
Stan H.
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