I've recently started learning about logarithms and was just curious as to why the base "b" in the "change the base" formula doesn't matter, as in it doesn't matter what value you put in for it, it still yields the same answer. Also, why when taking the logarithm of both sides of an equation it also doesn't matter the base of the logarithm, you still get the same answer for x?
And, again, it doesn't matter the value of "b", it gives you the same answer.
If someone could explain, I'd be very grateful.
Thanks a lot!