Difference between revisions of "1982 AHSME Problems/Problem 13"
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Latest revision as of 11:07, 13 May 2024
Problem
If , and , then equals
Solution 1
p (log b a) = log b (log b a)
log b (a p) =log b (logb a)
ap = log b a
Solution 2
Notice that strongly resembles the change of base rule. Recall that . Taking the base on the RHS to be , we get that . Raising to both sides, we get that
~ cxsmi