Question

How do you simplify `log 4 + log 5 - log 2`?

Answer 1

To answer this question, the following logarithm rules are needed:
`loga+logb = log(a*b)`
`loga - logb = log(a/b)`
`log_b b = 1`

Using the above rules:
`log4 + log5 - log2`
`=log((4*5)/2)`
`= log(20/2)`
`= log(10)`
Since the base of a normal `log` is `10`, `log10 = 1` (as `10^1 = 10`).