Logarithms with an answer that is a fraction How does log base 16 of 32 equal 1.25? If we divide 32/16=2 but then if we divide 2/16 it doesn't come out to a whole number unlike with log base 2 of 4 where 4/2=2 and 2/2=1 I am confused why its 1.25 and not simply 1? If we further try to divide with 2/16 we get .125 giving us a total of 1.125 not 1.25. However since 2 can't be divided by 16 it doesn't make sense to keep going. Obviously the answer is 1.25 since 16^(1.25)=32, I'm just not sure how we can get that number.
smekkinnZuG
Answered question
2022-11-23
Logarithms with an answer that is a fraction How does log base of equal ? If we divide but then if we divide it doesn't come out to a whole number unlike with log base of where and I am confused why its and not simply ? If we further try to divide with we get giving us a total of not . However since can't be divided by it doesn't make sense to keep going. Obviously the answer is since , I'm just not sure how we can get that number.
Answer & Explanation
kjakesHB
Beginner2022-11-24Added 10 answers
We have that:
Notice that this can also be represented as: Why? Well, first represent as It then follows that:
Justine Pennington
Beginner2022-11-25Added 2 answers
because Recall that in general, means that Addendum: If you are asking how to determine what is, we first change it into exponent form as follows: means . We then take the log of both sides.
Then using the property of logs that lets us move the exponent down (i.e, , we can simplify this to