Question

\log _ { 3 } 81 - \log _ { 3 } ( x - 4 ) = 2
$log{3}(81) - log{3}(x - 4) = 2$
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Answer 1

Respuesta:

x = 13

Explicación:

$log_{3}(81 ) - log_{3}(x - 4) = 2 \\ log_{3}(3 {}^{4} ) - log_{3}(x - 4) = 2 \\ 4 - log_{3}(x - 4) = 2 \\ log_{3}(x - 4 ) = 2 \\ log_{3}(x - 4) = log_{3}(9) \\ x - 4 = 9 \\ x = 13$