If  $a \ge b > 1$, what is the largest possible value of  $\log_a (a/b) + \log_b (b/a)$?
Question:
If  $a \ge b > 1$, what is the largest possible value of  $\log_a (a/b) + \log_b (b/a)$?
Answer:
Let's think step by step.

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If  $a \ge b > 1$, what is the largest possible value of  $\log_a (a/b) + \log_b (b/a)$?
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