Question

Need Help!


Expand in (1/x^2)

​

Answer 1

- 2ln(x)

=============

To expand ln(1/x²), we can use the properties of logarithms.

One of these properties states that the natural log of a quotient is equal to the difference of the natural logs of the numerator and denominator.

Applying this property, we can rewrite the expression as:

• ln(1/x²) = ln(1) - ln(x²)

The natural log of 1 is 0, so the expression simplifies to:

• ln(1/x²) = 0 - ln(x²)

Finally, we can use another property stating that the natural log of a power is equal to the power multiplied by the natural log of the base.

In this case, we get:

• ln(1/x²) = - 2ln(x)