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hi now in this video what I want to do is show you how we solve log equations where weve got terms with different bases in the logs as you can see in this example here weve got the log of 4 in base nine plus the log of X in base 3 and it equals three so different bases here base nine and base three and if youve been watching my earlier videos in this series on solving log equations youll know that weve got to change them to the same base so how do we do this well there is an identity that we can call upon its the log of any number n in base a is identical to transforming it to another base say base B but it turns out to be the log of that number n in base B divided by the log of a in base B now Im giving this to you without any proof but if you want to see the proof of this Ive got this in another video in this series all I want to do is show you how we can use it so when we get an equation like this then we can either choose say to change this term into logs in base three or t
