MATH
posted by heather on .
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.

log_{2} a + log_{2} b = 3
log_{2} (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 = log_{2}4 +log_{2} 2
= 2 + 1
= 3
= RS