Question

log (x+2) + log 3 = log 27​

Answer 1

$\underline{\underline{\mathfrak{\Large{Solution : }}}}\\ \\ \underline {\sf {Use\: Product\: rule :}} \\ \\ \sf\implies\:log((x + 2) × 3) = log27 \\ \\ \sf\implies\:log (3 (x + 2)) = log27 \\ \\ \underline {\sf {cancel\: 'log'\: on \:both\: sides :}} \\ \\ \sf\implies\: 3 (x + 2) = 27 \\ \\ \sf\implies\: x + 2 = \dfrac {27}{3} \\ \\ \sf\implies\: x + 2 = 9 \\ \\ \large {\boxed {\sf {x = 7}}} \\ \\ \underline {\sf {Formula\: Used : }} \\ \\ \large {\boxed {\sf { log_{b}(xy) = log_{b} x + log_{b}y}}}$

Answer 2

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