express the given quantity as a single logarithm

Question

(1/5)ln(x+2)^5 + (1/2) [ln x − ln(x² + 3x + 2)^2]

Answer 1

Step 1:

The expression is .

Simplify:

Use logarithimc power rule : .

Factorize the expression :

Substitute in the above expression.

Use logarithimc division rule : .

Use logarithimc product rule : .

Solution :

Answer 2

Step 1:

The expression is .

Simplify:

Use logarithimc power rule : .

Factorize the expression :

Substitute in the above expression.

Use logarithimc division rule : .

Use logarithimc product rule : .

Solution :