Posted by **heather** on Monday, July 15, 2013 at 12:46pm.

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 -
**Reiny**, Monday, July 15, 2013 at 1:32pm
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

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