Question

find the value of log5 base 5 +log 6 base 6 log +7 base 7+ log 1 base 10​

Answer 1

Refer The Attachment ⬆️

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Answer 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀$⠀⠀⠀⠀⠀⠀⠀{\log_55+log_66+log_77+log_{10}1}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$⇒{1+1+1+log_{10}1}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀${(where,\: log_aa = 1 )}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$⇒{1+1+1+0}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀${( where,\: log_a1 = 0 )}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$⇒{3}$

${Therefore, The \:value\: of\:\log_55+log_66+log_77+log_{10}1 \:is\:3}$

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