Exponential and Logarithmic Functions - Laws of Logarithms

Exponential and Logarithmic Functions - Laws of Logarithms

IP 3

Given that \(n=\frac{9}{2}\), find the value of \({{2}^{{{\log }_{n}}2}}\times {{9}^{\left( -{{\log }_{2}}9 \right)\times \left( {{\log }_{n}}2 \right)}}\). Show your working clearly.

Solution:

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Answer:\(1/18\).

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