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log₃1/6+log₃2/3 = log₃(1/6*2/3)=log₃1/9=log₃3⁻² = -2
2log₁/₂√3+log₁/₂5¹/₃ = log₁/₂(√3²*16/3)=log₁/₂16=log₁/₂(1/2)⁻⁴=-4
log√2 50 - log√2 25 = log√2 (50:25) = log√2 (√2)² = 2
log₁/₃ 4+log₁/₃ 6 - log₁/₃ 8 = log₁/₃(4*6:8)=log₁/₃ 3 = log₁/₃3⁻¹=-1
log₁/₄8²-log√3 9³ = log₁/₄4³ - log√3 3⁶=3-log√3 (√3)¹²=3-12=-9