Discussion Forum



1)

The value of $\log_{\frac{-1}{3}}{81}$ is


A) -27

B) -4

C) 4

D) 27

Answer:

Option B

Explanation:

Let $\log_{\frac{-1}{3}}{81}$ =x

Then$(\frac{-1}{3})^x=81=3^{4}$

=$(\frac{-1}{3})^x=(-3)^{4}$

=$(\frac{-1}{3})^{-4}$

Therefore x=-4