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CBSE Class 11-science Answered

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Asked by dineshchem108 | 04 Dec, 2018, 22:21: PM
answered-by-expert Expert Answer
begin mathsize 16px style log subscript 3 2 space comma space log subscript 3 open parentheses 2 to the power of x minus 5 close parentheses space comma space log subscript 3 open parentheses 2 to the power of x minus 7 over 2 close parentheses space a r e space i n space A. P log subscript 3 open parentheses 2 to the power of x minus 5 close parentheses space minus space log subscript 3 2 space equals log subscript 3 open parentheses 2 to the power of x minus 7 over 2 close parentheses space minus space space log subscript 3 open parentheses 2 to the power of x minus 5 close parentheses log subscript 3 fraction numerator open parentheses 2 to the power of x minus 5 close parentheses over denominator 2 end fraction space equals space log subscript 3 fraction numerator open parentheses 2 to the power of x minus 7 over 2 close parentheses over denominator open parentheses 2 to the power of x minus 5 close parentheses end fraction R e m o v i n g space log space f r o m space b o t h space s i d e comma space fraction numerator open parentheses 2 to the power of x minus 5 close parentheses over denominator 2 end fraction space equals space fraction numerator open parentheses 2 to the power of x minus 7 over 2 close parentheses over denominator open parentheses 2 to the power of x minus 5 close parentheses end fraction l e t space 2 to the power of x space equals space k comma space t h e n space w e space h a v e space fraction numerator k minus 5 over denominator 2 end fraction equals fraction numerator k minus begin display style 7 over 2 end style over denominator k minus 5 end fraction space open parentheses k minus 5 close parentheses squared space equals space 2 k minus 7 space space o r space k squared minus 12 k plus 32 space equals space 0 open parentheses k minus 8 close parentheses open parentheses k minus 4 close parentheses equals 0 i f space k space equals 2 to the power of x equals 8 comma space t h e n space x space equals 3 i f space k equals 2 to the power of x equals 4 comma space t h e n space x space equals 2 end style
Answered by Thiyagarajan K | 05 Dec, 2018, 00:12: AM

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CBSE 11-science - Maths
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