Question

In Exercise, expand the logarithmic expression.
ln 4x(x - 7)/x^2

Answer 1

`ln(4)+ln(x)+ln(x-7)-2ln(x)`

Explanation:

`ln (4x(x-7))/(x^2)`

Apply log properties

`ln(mn)= ln m + ln n`

`ln (4x(x-7))/(x^2)`

`(ln(4x)+ln(x-7))/(x^2)`

`ln((m)/(n) )=ln(m)-ln(n)`

`(ln(4x)+ln(x-7))/(x^2)`

`ln(4x)+ln(x-7)-ln(x^2)`

`ln(4x)+ln(x-7)-2ln(x)`

`ln(4)+ln(x)+ln(x-7)-2ln(x)`