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Rewriting logs

Can we write logb(x) as ln(f(b,x))? Not obviously ln(x)/ln(b) but as ln(f(b,x)) straight out.
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Original post by Big-Daddy
Can we write logb(x) as ln(f(b,x))? Not obviously ln(x)/ln(b) but as ln(f(b,x)) straight out.

logbx=ln(elogbx)\displaystyle \log_b x = \ln \left(e^{\log_b x}\right)

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