log₃6 > log₄8
Пошаговое объяснение:
log₃6 = log₃(3*2)=log₃(3)+log₃2=1+log₃2 = 1 + 1/log₂3
log₄8 = log₄(4*2)=log₄(4)+log₄2=1+log₄2 = 1 + 1/log₂4
log₂3 < log₂4 => 1/log₂3 > 1/log₂4 => 1 + 1/log₂3 > 1 + 1/log₂4 =>
=> log₃6 > log₄8
log₃6 > log₄8
Пошаговое объяснение:
log₃6 = log₃(3*2)=log₃(3)+log₃2=1+log₃2 = 1 + 1/log₂3
log₄8 = log₄(4*2)=log₄(4)+log₄2=1+log₄2 = 1 + 1/log₂4
log₂3 < log₂4 => 1/log₂3 > 1/log₂4 => 1 + 1/log₂3 > 1 + 1/log₂4 =>
=> log₃6 > log₄8