CBSE Class 12-science Answered

if a, b, c are positive real number then

Asked by shravankumar181131 | 30 Sep, 2023, 10:38: PM

Expert Answer

begin mathsize 14px style fraction numerator 1 over denominator log subscript a superscript b c end superscript space plus space 1 end fraction space equals space fraction numerator 1 over denominator log subscript a superscript b c end superscript plus space log subscript a superscript a end fraction space equals space fraction numerator 1 over denominator log subscript a superscript a b c end superscript end fraction space equals space log subscript a b c end subscript superscript a end style

Similarly ,

begin mathsize 14px style fraction numerator 1 over denominator log subscript b superscript c a end superscript space plus space 1 end fraction space equals space fraction numerator 1 over denominator log subscript b superscript c a end superscript plus space log subscript b superscript b end fraction space equals space fraction numerator 1 over denominator log subscript b superscript a b c end superscript end fraction space equals space log subscript a b c end subscript superscript b end style

begin mathsize 14px style fraction numerator 1 over denominator log subscript c superscript a b end superscript space plus space 1 end fraction space equals space fraction numerator 1 over denominator log subscript c superscript a b end superscript plus space log subscript c superscript c end fraction space equals space fraction numerator 1 over denominator log subscript c superscript a b c end superscript end fraction space equals space log subscript a b c end subscript superscript c end style

hence

begin mathsize 14px style fraction numerator 1 over denominator log subscript a superscript b c end superscript space plus space 1 end fraction space plus space fraction numerator 1 over denominator log subscript b superscript a c end superscript space plus space 1 end fraction plus fraction numerator 1 over denominator log subscript c superscript a b end superscript space plus space 1 end fraction equals space space log subscript a b c end subscript superscript a space plus space log subscript a b c space end subscript superscript b plus space log subscript a b c end subscript superscript c space equals space log subscript a b c end subscript superscript a b c end superscript space equals space 1 end style

Answered by Thiyagarajan K | 30 Sep, 2023, 11:43: PM

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