Question

помогите решить неравенство log 0,2(2х-3)<3

Answer 1

log0.2 (2x-3)<3
log0.2 (2x-3) < log0.2 (0.2)³
{2x-3>0
{2x-3> 0.2³

2x-3>0
2x>3
x>1.5

2x-3>0.2³
2x>0.008+3
2x>3.008
x>1.5004
x∈(1.5004; +∞)