Logarithmic inequality?

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April 29th 2009, 05:19 AM
fardeen_gen

Logarithmic inequality?

Find the set of values of k for which any solution of the inequality $\frac{\log_{2}(x^2 - 5x + 6)}{\log_{2}(2x)}< 1$ is also a solution of the inequality $x^2 - 7kx + 2k - 6\leq0$
April 29th 2009, 08:23 AM
steiner

try using the change of base formula to solve for values that make the inequality an equivalence.

and then relate those values to the second equation

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