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\(\text{'Given that log2 = p and log3 = q, express log1.25 in terms of p and q.'}\)

 Jul 18, 2016
 #1
avatar+33616 
+5

{Are you sure you don't mean log1.5?   Log1.5 → log(3/2) → log3 - log2 → q - p}

 

log1.25 → log(5/4) → log5 - log(2^2) → log(10/2) - 2log2 → log(10) - log2 - 2log2 → 1 - 3log2 → 1 - 3p.  (Assuming log is log to base 10).

 Jul 18, 2016

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