SOLUTION: Solve the problem Given log[10]^2 = 0.3010 and log[10]^3 = 0.4771. Find log[10] ^24 I am so confused, can someone please help me?

Question 338750: Solve the problem
Given log[10]^2 = 0.3010 and log[10]^3 = 0.4771.
Find log[10] ^24
I am so confused, can someone please help me?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the problem
Given log[10]^2 = 0.3010 and log[10]^3 = 0.4771.
Find log[10] ^24
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I think you mean:
Solve the problem
Given and
Find log(24)
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1st, base 10 is the default base, called "common log", so it's not necessary to specify it.
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log(2) = 0.3010 and log(3) = 0.4771 is sufficient
24 = 2*2*2*3
log(24) = 3*log(2) + log(3)
log(24) =~ 1.3801

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