2log3底2-log3底32/9+log3底8(9/4)^1/2-(-9.6)^0-(27/8)^-2/3+(1.5)^-2 求值

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2log3底2-log3底32/9+log3底8(9/4)^1/2-(-9.6)^0-(27/8)^-2/3+(1.5)^-2求值2log3底2-log3底32/9+log3底8(9/4)^1/2-(

2log3底2-log3底32/9+log3底8(9/4)^1/2-(-9.6)^0-(27/8)^-2/3+(1.5)^-2 求值
2log3底2-log3底32/9+log3底8
(9/4)^1/2-(-9.6)^0-(27/8)^-2/3+(1.5)^-2 求值

2log3底2-log3底32/9+log3底8(9/4)^1/2-(-9.6)^0-(27/8)^-2/3+(1.5)^-2 求值
(1).2log₃2-log₃(32/9)+log₃8=2log₃2-(5log₃2-2)+3log₃2=2
(2).(9/4)^1/2-(-9.6)^0-(27/8)^(-2/3)+(1.5)^(-2 )
=(3/2)-1-(4/9)+(4/9)=1/2

(9/4)^1/2-(-9.6)^0-(27/8)^-2/3+(1.5)^-2
=3/2-1-(2/3)²+1/(3/2)²
=1/2-4/9+4/9
=1/2
㏒aA+㏒aB=㏒a(A×B)
㏒aA-㏒aB=㏒aA/B