Which one of the following is not true?

Question

A. log2 8 = 3
B. log2 1 = 0
C. log2 2 = 1
D. log2 1/8 = -3
E. log2 (-1) = 1/2

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Answer 1 · 2018-07-09T06:19:10

The answer is E.

Log of a negative number is undefined,

Hence #log_2 (-1)# is Undefined.

The answer is E.

Other explanation:

#log_2 (8) = log_2(2)^3 = 3log_2(2) = 3 -># A is True

#log_2 (1) = 0 -># B is True. This is a basic log rule.

#log_2(2) = 1 -># C is True. This is a basic log rule

#log_2 (1/8) = log_2(1) - log_2(8)#

#= 0 - log_2(2)^3 = 0-3log_2(2) = 0-3 = -3 -># D is True