Evaluate the log. log(1)/(27) 81

Question

Evaluate the log.


`log(1)/(27) 81`

Answer 1

-4/3.

Explanation:

Using the change of base formula convert to log 3:

logb x = loga x / loga b

log(1/27) 81 = log3 81 / log3 1/27

log3 81 = 4 ( because 3^4 = 81) and log3 1/27 = -3 (because 3^-3 = 1/27)

So log(1/27) 81 = 4/-3 = -4/3.

Answer 2

−115.940465

Explanation:

Simplified = −115.940465