Question

Determine o valor de x na questão?
(2/3) elevado a 6x = 27/8
a. 1/3
b. -1/2
c. -3
d. -4

Answer 1

Resposta:

$( \frac{2}{3} ) {}^{6x} = \frac{27}{8} \\ ( \frac{2}{3}) {}^{6x} = ( \frac{3}{2}) {}^{3 } \\ ( \frac{2}{3}) {}^{6x} = ( \frac{2}{3} ) {}^{ - 3} \\ 6x = - 3 \\ x = \frac{ - 3}{6} \\ x = - \frac{ 1}{2}$