一道高一的数学题(好的追分!)若log3 2=a,则log3 8-log3 6=?注:log3表示以三为底x的对数,结果用a表示)

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一道高一的数学题(好的追分!)若log3 2=a,则log3 8-log3 6=?注:log3表示以三为底x的对数,结果用a表示)
一道高一的数学题(好的追分!)
若log3 2=a,则log3 8-log3 6=?
注:log3表示以三为底x的对数,结果用a表示)

一道高一的数学题(好的追分!)若log3 2=a,则log3 8-log3 6=?注:log3表示以三为底x的对数,结果用a表示)
log3 8-log3 6
=log3 8-(log3 2+log3 3)
=3log3 2-log3 2-1
=2log3 2-1
=2a-1

log3 (8/6)=log3 (3^2)=2

log3 8=3(log3 2)=3a
log3 6=log3 3*2=(log3 3)+log3 2=1+a
log3 8-log3 6=3a-1-a=2a-1

原式=log3 (8/6)=log3 (4/3)
=(log3 4)-1
=(2log3 2)-1
=2a-1

log3 8-log3 6=log3 (8/6)= log3 4/3 = log3 4 - log3 3=
2a -1

log3 8-log3 6=log3 4/3=log3 4-log3 3=2log3 2-1=2a-1

log(3)(8)-log(3)(6)=log(3)(4/3)=log(3)(1/3)+log(3)(4)=-1+2log(3)(2)=2a-1
希望对你有所帮助...

log3(8)-log3(6)=3log3(2)-log3(2)-log3(3)
=2a-1

log3 8-log3 6
=log3 (2的3次幂)-log3 3*2
=3*log3 2-(log3 3+log3 2)
=3a-(1+a)
=2a-1