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