(i) log, 135 Evaluate : log153 log,...
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(i) log, 135 Evaluate : log153 log, 5 log405 3

JEE/Engineering Exams
Maths
Solution
88
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( frac{log _{3} 135}{log _{15}^{3}} frac{log _{3}}{log _{405} 3} ) ( left.frac{5(133}{3 frac{27}{3}}right) frac{5(405}{3(82)} ) ( 135=5 times 3^{3}, 405=5 times 3^{4} ) ( left(cos _{3}^{5}+3 log _{3}^{3}right) log _{3}^{15}-log _{3}left[log _{3}^{5}+log _{3}^{3} 9right. ) ( left[log _{3}+3right] log _{3}^{15}-log _{3}^{5}left[log _{3}^{5}+4right] ) ( log _{3}^{5} 109_{3}^{15}+3 log _{3}^{15}-log _{3}^{5} log _{3}^{5}+4 log _{3}^{5} ) ( log _{3}^{5}+3 log _{3}^{5}+4 log _{3}^{5}=8 log _{3}^{5} )
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