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Definition of Functions

Solve 5log√...

Question

Solve $5^{l o g_{\sqrt{5}} 2} + 9^{l o g_{3} 7} - 8^{l o g_{2} 5}$

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Solution

According to question,

$5^{l o g_{\sqrt{5}} 2} + 9^{l o g_{3} 7} - 8^{l o g_{2} 5}$

=> $2^{l o g_{\sqrt{5}} 5} + 7^{l o g_{3} 9} - 5^{l o g_{2} 8}$

=> $2^{\frac{1}{2} l o g_{5} 5} + 7^{2 l o g_{3} 3} - 5^{3 l o g_{2} 2}$

=> $\sqrt{2} + 7 - 5$

=> $\sqrt{2} + 2$

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