(A) log10 5.log,20 + logio 2
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(A) log10 5.log,20 + logio 2

JEE/Engineering Exams
Maths
Solution
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( log _{10} 5 cdot log _{10} 20+left(log _{10} 2right)^{2} ) ( frac{log _{2} 5}{log _{2} 10} cdot frac{log _{2} 20}{log _{2} 10}+left(frac{log _{2} 2}{log _{2} 10}right)^{2} ) ( log _{2} 5left(frac{log _{2} u_{1} log _{2} 5}right)+(1) ) ( frac{log _{2} 5left(2+log _{2} 5right)}{left(log _{2} 2+log _{2} 5right)^{2}}=frac{log _{2}^{2} s+2 log _{2} 5+1}{left(log _{2} 5+1right)^{2}} ) ( frac{left(log _{2} 5+1right)^{2}}{left(log _{2} 5+1right)^{2}}=1 )
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