"Find the value of the following."
loga(1/a^2)
loga(a^(-2))
(-2)loga a
Note: the 'a' after the 'log' is the base.
The answer is a^4, I just don't know how to get it.
Hello, Jeavus!
You're expected to know that: .$\displaystyle \log_a(a)\:=\:1$Find the value of the following: .$\displaystyle \log_a\left(\frac{1}{a^2}\right)$
Your work is correct!
$\displaystyle \log_a\left(\frac{1}{a^2}\right) \;=\;\log_a\left(a^{-2}\right) \:=\:
-2\cdot\log_a(a)$
Then the answer is: .$\displaystyle (-2)(1) \;=\;\boxed{-2}$
Did you copy the problem incorrectly?The answer is: $\displaystyle a^4$ . . . . no, it isn't