Question

Choose the single logarithmic expression that is equivalent to the one shown. log6 25 − log6 5

Answer 1

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: log_{6}(5)$

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$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: log_{6}(25) - log_{6}(5)$

$\qquad \tt \rightarrow \: log_{6}(5) {}^{2} - log_{6}(5)$

[ property : x² = 2 log x ]

$\qquad \tt \rightarrow \: 2 \: log_{6}(5) {}^{} - log_{6}(5)$

$\qquad \tt \rightarrow \: log_{6}(5)$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞