Математика, логарифмические выражения

1. log₆3+log₆12=log₆(3*12)=log₆36=2. 2. log₃9-log₂16=log₃3²-log₂2⁴=2*log₃3-4*log₂2=2-4=-2. 3.log₀,₅32=log₁/₂2⁵=5*log₂⁻¹2=-5*log₂2=-5. 4. 2*lg0,001-6*lg∛100=2*lg10⁻³-6*lg10²/³=-3*2lg10-6*(2/3)lg10=-6-4=-10. 5. log₂₇3-log₁/₉(3∛3)=log₃³3-log₃⁻²3¹/³=(1/3)*log₃3-(-1/2)*(1/3)log₃3= =1/3+1/6=1/2.