Question

How do you expand `log(5*3)`?

Answer 1

I used a property of logs:

Explanation:

You can change the product of arguments into a sum of logs as:

`log(5*3)=log(5)+log(3)`

When you have these property of logs and you have a doubt try using your calculator and natural logs to check them:

try first: `ln(5*3)=ln(15)`

and then: `ln(5)+ln(3)`

they should give the same result!

Answer 2

`log5+log3`

Explanation:

Using the following `color(blue)"law of logarithms"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(logx+logy=log(xy))color(white)(a/a)|)))`

`rArrlog(5xx3)=log5+log3`