Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Expand by moving outside the logarithm.

Expand by moving outside the logarithm.

The natural logarithm of is .

Multiply by .

Rewrite as .

Expand by moving outside the logarithm.

Rewrite as .

Expand by moving outside the logarithm.

Combine and .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Move to the left of .

Expand natural log of (8e^2x^5)/((x^2+1) cube root of x+2)