Question

Resolva as equações logarítmicas abaixo:

Answer 1

A)

$log_{2}(2x) + 1 = 6 \\ log_{2}(2) + log_{2}(x) = 5 \\ 1 + log_{2}(x) = 5 \\ log_{2}(x) = 4 \\ {2}^{4} = x \\ \boxed{x = 16}$

B)

$log_{3}(3x) - 12 = 3 \\ log_{3}(3) + log_{3}(x) = 15 \\ 1 + log_{3}(x) = 15 \\ log_{3}(x) = 14 \\ {3}^{14} = x \\ \boxed{x = 4782969} \:$