Question

Помогите решить неравенство.
log_4(8x-12)<0

Answer 1

ОДЗ :

8x - 12 > 0

8x > 12

x > 1,5

$log_{4}(8x-12)<0\\\\8x-12<4^{0}\\\\8x-12<1\\\\8x<13\\\\x<1,625\\\\Otvet:\boxed{x\in(1,5;1,625)}$