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