looking for some solutions? You are welcome.

SOLVED: Is there a logarithm base for which the logarithm becomes an identity function? – math.stackexchange.com

schomatis: Is there a base $b$ such that: $$\log_b x = x $$ (The only one that comes to mind would be the invalid case of $\log_1 1 = 1 $.) I'm fairly certain the answer is no, but I can't find a clear ...

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