Question
Download Solution PDFयदि x = 27 और y = log3 4, तो xy ____ के बराबर है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
- यदि m और n धनात्मक वास्तविक संख्याएँ हैं, तो loga(mn) = nlogam
- यदि a एक धनात्मक वास्तविक संख्या है और m एक धनात्मक परिमेय संख्या है, तो \({a^{{{\log }_a}m}} = m\)
गणना:
\({x^y} = {27^{{{\log }_3}4}} = {\left( {{3^3}} \right)^{{{\log }_3}4}}{\rm{ = }}{3^{3{{\log }_3}4}} \\= {3^{{{\log }_3}{4^3}}} = {4^3} = 64\)
Last updated on Dec 17, 2024
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