Log a 3.5: Finding the Solution using Logarithmic Rules

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To find log a 3.5, the relationship between 3.5, 2, and 7 is crucial, as log a 3.5 can be expressed using logarithmic identities. Given that log a 2 equals 1.8301 and log a 7 equals 5.0999, the calculation involves using the identity log(a/b) = log(a) - log(b). By recognizing that 3.5 is the quotient of 7 and 2, the solution can be derived. The thread indicates that the problem is resolved, but the method requires showing the working steps for clarity.
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[SOLVED] log a 3.5= ?

given log a 2= 1.8301 and log a 7= 5.0999

what is log a 3.5=?

Thanks!
 
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Why does the thread name say solved?

Anyway, Please show us some working, we can't help you otherwise. All I'm going to say is to remember some log identities. You must see a relation between 3.5, 7 and 2.
 
This may come in handy..

log(a/b)=log(a)-log(b)
 
benjyk said:
This may come in handy..

log(a/b)=log(a)-log(b)

*sigh* Well stuff the forum regulations hey?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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