Question

How do you condense `logM - 3logN`?

Answer 1

`log(M/N^3)`

Explanation:

Using `color(blue)"laws of logarithms"`

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(logx^nhArrnlogx)color(white)(a/a)|))) ........ (A)`

`color(red)(|bar(ul(color(white)(a/a)color(black)(logx-logy=log(x/y))color(white)(a/a)|))) ........ (B)`

Using (A) : `3logN=logN^3`

Using (B) : `logM-logN^3=log(M/N^3)`