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Question Number 70198 by smartsmith459@gmail.com last updated on 01/Oct/19

Answered by MJS last updated on 01/Oct/19

$$x=a^{\sqrt{{\log }_{a}b}}$$$$\ln x=\sqrt{\frac{\ln b}{\ln a}}\ln a=\sqrt{\ln a\times \ln b}$$$$\Rightarrow 5^{\sqrt{{\log }_{5}7}}-7^{\sqrt{{\log }_{7}5}}=0$$

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