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posted by mandy on .
Given that log2 3=h and log2 5=k, express log2 0.45 in terms of h and k.

Dear Mandy,
Here is the solution
log2 0.45 = log2 (9/20)
= log2 9  log2 20
= 2log2 3  log2 (4x5)
= 2h (log2 4 + log2 5)
= 2h(2+k)
= 2h2k
Hope this helps