Question

In Exercise, expand the logarithmic expression.
ln x3(x + 1)

Answer 1

`3ln(x)+ln(x+1)`

Explanation:

Expand

`ln(x^3)(x+1)`

Apply log properties to expand the natural log

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

When the log terms are in multiplication then we break the terms and add it

use ln for each term

Apply the above property to break the terms

`ln(x^3)(x+1)`

`ln(x^3)+ln(x+1)`

Now move the exponent before ln

`3ln(x)+ln(x+1)`