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hey hey good people welcome back this is Arthur Morris hope that all is going well with you today in this particular video were going to look at the change of base property which allows us to actually calculate get an approximation of logarithms that are not based in you will notice that in most calculators that all you will see will be log or natural log and remember log is understood to be log base 10 so if we have log with the base of something else we can use the change of base property to make it base 10 or natural log and care and getting a decimal approximation alright so for any logarithmic basis a and B and any positive number M log base B of M is equal to log base 10 of M over log base 10 of B or just log of M over log of B or you can use the natural log function function in your calculator the same way and say the natural log of M divided by the natural log of B and that will give you a decimal approximation of the logarithm okay so lets just look at an example here we hav