Question

How do you use the properties of logarithms to expand `lnz(z-1)^2`?

Answer 1

`lnz+2ln(z-1)`

Explanation:

`"using the "color(blue)"laws of logarithms"`

`•color(white)(x)logx+logyhArrlog(xy)`

`•color(white)(x)logx^nhArrnlogx`

`rArrlnz(z-1)^2`

`=lnz+ln(z-1)^2`

`=lnz+2ln(z-1)`