Question

Question #f5f57

Answer 1

Hey there!

Recall that the laws of logarithms for addition, subtraction, multiplication and division are as follows:

`log(a) + log(b) = log(a * b)`

`log(a) - log(b) = log(a/b)`

Note that these are "backwards compatible"! :)

Explanation:

For your specific question, you are trying to condense these logs that are being added. Based on this, if you look at the log laws, you can change this addition into the following:

`log(a) + log(b) = log(a * b)`

`log(13/5) + log(5/4) = log( 13/5 * 5/4)`

`log(13/5 * 5/4) = log(13/4)`

Therefore, the condensed form is: `log(13/4)`

Hopefully this was helpful! :)