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how do I figure logrhthms on calculator other than power 0f 10

 Apr 23, 2014

Best Answer 

 #2
avatar+118710 
+5

This is the short version of what CPhill is telling you

logbA=logAlogb

You can use whatever base you want - I suggest base 10 or base e so that you can do it on your calculator 

 Apr 24, 2014
 #1
avatar+130493 
+5

how do I figure logrhthms on calculator other than power 0f 10

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Let me show you how to do this ...... 

Suppose we have loga(b)   where "a" is the base and "b" is what we're trying to take  the log of.... (that's some bad English, isn't it??)

Exponentially, what this says is

ax = b

Now take the "log" of both sides .....  we have

logax = logb

And, by a property of logs, we can bring the "x" out front

(x)loga  = logb

Solving for x gives

x = log(b)/log(a)

And "x" is just the exponent (power) that we need to "raise" "a" to in order to obtain "b"

But, that is the definition of a logarithm.

So, to find the log in any other base than 10 or "e," just divide the log of the number you're trying to find the log of by the log of the base you're using......  

 Apr 23, 2014
 #2
avatar+118710 
+5
Best Answer

This is the short version of what CPhill is telling you

logbA=logAlogb

You can use whatever base you want - I suggest base 10 or base e so that you can do it on your calculator 

Melody Apr 24, 2014

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