1.若3^a = 2,则log 3,8 - 2log 3,6的值是( ) (A)a - 2 (B)3a - (1 + a)^2 (C)5a -2 (D)3a - a^2

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1.若3^a = 2,则log 3,8 - 2log 3,6的值是( ) (A)a - 2 (B)3a - (1 + a)^2 (C)5a -2 (D)3a - a^2

1.若3^a = 2,则log 3,8 - 2log 3,6的值是( ) (A)a - 2 (B)3a - (1 + a)^2 (C)5a -2 (D)3a - a^2
1.若3^a = 2,则log 3,8 - 2log 3,6的值是( ) (A)a - 2 (B)3a - (1 + a)^2 (C)5a -2 (D)3a - a^2

1.若3^a = 2,则log 3,8 - 2log 3,6的值是( ) (A)a - 2 (B)3a - (1 + a)^2 (C)5a -2 (D)3a - a^2
3^a=2
a=log3(2)
log3(8)-2log3(6)
=3log2-2[log3(2)+log3(3)]
=3a-2(a+1)
=3a-2a-2
=a-2
选A


因为:3^a=2,所以:log3,2=a
所以:log 3,8 - 2log 3,6=3log3,2-2(log3,3+log3,2)=3a-2(1+a)=a-2
所以:选择A

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