Question

use properties of logarithms to expand each logarithmic expression as much as possible. evaluate logarithmic expressions without using a calculator if possible.
log (p⁻²)
log (p⁻²) = \square

Explanation:

Step1: Recall the power rule of logarithms

The power rule of logarithms states that $\log(a^b) = b\log(a)$ for any positive real number $a$ (where $a
eq1$) and real number $b$.

Step2: Apply the power rule to $\log(p^{-2})$

Here, $a = p$ and $b=-2$. Using the power rule, we get $\log(p^{-2})=-2\log(p)$.

Answer:

$-2\log(p)$