Question

Помогите найти одз
log 3(x-4)<2

Answer 1

x-4>0

x>4

log(3) x-4 < log(3) 3^2

x-4<9

x<13

(4;13)

Answer 2

$log_3(x-4)<2\; ,\; \; ODZ:\; \; x-4>0\; \to \; \; x>4\\\\x-4<3^2\\\\x-4<9\\\\x<13\\\\Otvet:\; \; 4<x<13\; \; \; \; (\; \; x\in (4,13)\; \; ).$