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There is no need for any change of base here. All those numbers given are powers of 2, and the base is 2 so you can simplify with ease.I think it would be easier if you use:
loga(x/y)=logax-logay
and then you use change of base.
Oh I didn't notice that.There is no need for any change of base here. All those numbers given are powers of 2, and the base is 2 so you can simplify with ease.
You started out right. But last few steps redundant.
What?^ I didn't know you could do that lol!
What definition is it?
You said "immediately by definition"What?
Ahhh, I see it now, thanks!What?
The log of a number to a base 'b' is what its power (i.e. exponent) is to that base 'b'. e.g.
since 343 = 73
Not knowing this explains your difficulty with something as trivial as your question.
Then, straight away:You said "immediately by definition"
Whats the definition? eg. y=a^x something like that
Lol, I wasn't going to change the base. I was thinking of the law that I typedThen, straight away:
If you had to resort to use of "change of base" in your original question, your understanding of logs is poor.
If you use a calculator, I don't know what to say!
In Timske's solution above, the use of "change of base" is justified.
I did not have you in mind!Lol, I wasn't going to change the base. I was thinking of the law that I typed
Also, the calculator didn't cross my mind