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How would one simplificate the following statement, resulting in only one log-term, if this is even possible. Thanks in advance.

$log(x)^{A}\cdot log(x)^{-\frac{1}{A-1}} - log(x)^{-\frac{1}{A-1}}$

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I would write $$\frac{\log(x)^A-1}{\log(x)^{\frac{1}{A-1}}}$$

  • Seems understandable, however changing it slightly to $log(x)^{A}\cdot log(x)^{-\frac{A}{A-1}} - log(x)^{-\frac{1}{A-1}}$ would change it all together right. – Wiebe Kuper Apr 20 '18 at 07:30