Question

qual a resposta de
log3 (5x - 2) = log3 8

Answer 1

Explicação passo-a-passo:

$log_{3}(5x - 2) = log_{3}(8)$

${3}^{ log_{3}(5x - 2) } = {3}^{ log_{3}(8) }$

$5x - 2 = 8$

$5x = 8 + 2$

$5x = 10$

$x = \frac{10}{5}$

$x = 2$

Answer 2

Condição de existência:

$\mathtt{5x-2>0}\\\mathtt{5x>2}\\\mathtt{x>\dfrac{2}{5}}$

$\mathtt{5x-2=8}\\\mathtt{5x=8+2}\\\mathtt{5x=10}\\\mathtt{x=\dfrac{10}{5}}$

$\huge\boxed{\boxed{\mathtt{x=2}}}$