'Problem 7: Prove that logg 12 is not a rational number.'
Added by Lisa G.
Step 1
So, we have logg 12 = p/q. Now, we can rewrite this equation as g^(p/q) = 12. Taking the q-th root of both sides, we get g^p = 12^q. Since g is a positive real number, g^p and 12^q are also positive real numbers. But, we know that 12 is not a perfect power of Show more…
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