<prompt> Pata thamani ya chini ya17 logi_30 x - 3 logi_x 5 20 logi_x 15 - 3 logi_x 6 20 log_x 2kwa x 1.  <response>: Tunaweza kuandikaanzaalign17 logi_30 x - 3 logi_x 5 20 logi_x 15 - 3 logi_x 6 20 logi_x 2 17 logi_30 x - logi_x 53 logi_x 1520 - logi_x 63 logi_x 220 17 logi_30 x log_x frac1520 cdot 22053 cdot 63 17 logi_30 x logi_x 217 cdot 317 cdot 517 17 logi_30 x 17 logi_x 30 17 kushoto log_30 x frac1log_30 x kulia.mwishoalignNa AM-GM,log_30 x frac1log_30 x ge 2,hivyo 17 left log_30 x frac1log_30 x kulia ge 34. Usawa hutokea wakati x 30, hivyo thamani ya chini ni 34. 