Question

log2 (5x – 4) = 3 + log2 (2x – 6)​

Answer 1

Respuesta:

x=4

Explicación paso a paso:

$log_{2}(5x - 4) - log_{2}(2x - 6) = 3 \\ log_{2}( \frac{5x - 4}{2x - 6} ) = 3 \\ \frac{5x - 4}{2x - 6} = {2}^{3} \\ 5x - 4 = 8(2x - 6) \\ 48 - 4 = 16x - 5x \\ 44 = 11x \\ 4 = x$