<prompt> Kokotoa sum_k263 logi_2kushoto1 frac1kkulia log_k 2 logi_k1 2.  <response>: Tunaweza kuandika muhtasari kama anzailiyopangwa log_2kushoto1frac1kkulia log_k2 log_k12 frac log_2leftfrack 1kkulialog_2 k log_2 k1 fraclog_2k1 - log_2 klog_2 k log_2 k1 frac1log_2 k - frac1log_2 k1. endalignedKwa hivyo, jumla ya darubini: anzailiyopangwa sum_k263 logi_2kushoto1 frac1kkulia log_k 2 logi_k1 2 kushotofrac1log_2 2 - frac1log_2 3kulia leftfrac1 log_2 3 - frac1log_2 4kulia vitone kushotofrac1log_2 63 - frac1log_2 64kulia frac1log_2 2 - frac1log_2 64 1 - frac16 frac56. mwishozilizopangiliwa 