MATH

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Given that logbase2 a+logbase2 b=3 , calculate all the possible integer values of a if b is
also an integer value. Explain your reasoning.

• MATH -

log2 a + log2 b = 3
log2 (ab) = 3
ab = 2^3 = 8

using positive integer values, all possibilties for
(a,b) are
(1,8)
(2,4)
(4,2) and
(8,1)

testing one of them: a=4, b=2

LS = log24 +log2 2
= 2 + 1
= 3
= RS

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