`log_3 (81^-3)` Find the exact value of logarithmic expression without using a calculator. (If this is not possible, then state the reason.)

Textbook Question

Chapter 3, 3.3 - Problem 26 - Precalculus (3rd Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

balajia's profile pic

balajia | College Teacher | (Level 1) eNoter

Posted on

`log_3(81)^(-3) = (-3)log_3(81)`

`=(-3)log_3(3)^4`

`=(-3)(4)log_3(3)`

`=-12`

``

We’ve answered 318,912 questions. We can answer yours, too.

Ask a question