Question
Download Solution PDFIf x = 27 and y = log3 4, then xy equals
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- If m and n are positive real numbers then, loga(mn) = nlogam.
- If a is a positive real number and m is a positive rational number then, \({a^{{{\log }_a}m}} = m\).
Calculation:
\({x^y} = {27^{{{\log }_3}4}} = {\left( {{3^3}} \right)^{{{\log }_3}4}}{\rm{ = }}{3^{3{{\log }_3}4}} \\= {3^{{{\log }_3}{4^3}}} = {4^3} = 64\)
Last updated on Dec 17, 2024
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