Asked by heather

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.
Answered by Reiny
log<sub>2</sub> a + log<sub>2</sub> b = 3
log<sub>2</sub> (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<sub>2</sub>4 +log<sub>2</sub> 2
= 2 + 1
= 3
= RS
Answered by JOEYBIGNUTZ
1=24
yes
There are no AI answers yet. The ability to request AI answers is coming soon!