Mathematics
7. If logb(a)⋅logc(a)⋅logc (b) = 25 and a2/c2 = ck, what is the sum of all possible values of k?
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Answers
The sum of all possible values of k is 4. This answer is arrived at by substituting the given values into the equation logb(a)⋅logc(a)⋅logc (b) = 25 and then solving for k. The result is k=(logb(a)2) / (3logc(a)). The logb(a) and logc(a) values can take on any real number value, thus the sum of all possible k values is 4.
