Question

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

Answer 1

Answer:

$3ln(x)+ln(x+1)$

Step-by-step 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

$3ln(x)+ln(x+1)$