SOLUTION: Can you please help me solve this equation? {{{ log(n+9)= log(4n)}}} It is the log of ten since it is not stated. Do you switch it to exponential form?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can you please help me solve this equation? {{{ log(n+9)= log(4n)}}} It is the log of ten since it is not stated. Do you switch it to exponential form?      Log On


   



Question 543473: Can you please help me solve this equation?
+log%28n%2B9%29=+log%284n%29
It is the log of ten since it is not stated.
Do you switch it to exponential form?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(n+9)= log(4n)
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Certainly if log(A) = log(B), A must equal B.
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Your Problem:
n+9 = 4n
3n = 9
n = 3
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Another way to get to the same answer:
log(n+9)= log(4n)
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Write each side as an exponent of 10:
10^(log(n+9)) = 10^(log(4n))
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Then n+9 = 4n
and 3n = 9
so n = 3
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Cheers,
Stan H.
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