Question

How do you use the properties of logarithms to rewrite and simplify the logarithmic expression of `log (7/100)`?

Answer 1

First use the division-to-subtraction rule

Explanation:

`log(7/100)=log7-log100`
Then remember that `100=10^2`
And that you may always put the exponent before the log:
`=log7-log10^2=log7-2*log10`

And since `log10=log_10 10=1`:
`=log7-2`