Raising a logarithm base to a power

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I was playing around with logs, and I discovered the following: $$\log_af=x\log_{a^x}f$$ Where does this come from? Thanks.

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$$x\log_{a^x}f=\frac{x\log_af}{\log_aa^x}=\frac{x\log_af}x=\log_af$$