So the first question in this quiz
asked about log of 28
Well, 28 is 4 times 7
And then by this property
I can write this as log 4 plus log 7
Remember logarithms turn multiplication into addition
Ok next question is about log of a half
And to do this, I remind myself that
a half is the same thing
as 2 to the minus 1
and that's from the exponent property
1 over x to the a
is x to the minus a
so 1 over 2 to the 1
is 2 to the minus 1
Remember that 2 to the 1
is the same thing as 2
Alright, so log 2 to the minus 1
Now I can use the exponent property for logs
a is 2, n is minus 1
this is minus 1 log 2
or just minus log of 2
Alright, last question
log of 4 to the 7
Well, we just immediately use this
exponent property again
We'll use that property a lot
in this course
So that's 7 log 4