log2^3=a 则log6^9=?如题.谢谢嘎.

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log2^3=a则log6^9=?如题.谢谢嘎.log2^3=a则log6^9=?如题.谢谢嘎.log2^3=a则log6^9=?如题.谢谢嘎.log2^3=a所以lg3/lg2=alg3=alg2l

log2^3=a 则log6^9=?如题.谢谢嘎.
log2^3=a 则log6^9=?
如题.谢谢嘎.

log2^3=a 则log6^9=?如题.谢谢嘎.
log2^3=a
所以lg3/lg2=a
lg3=alg2
log6^9=lg9/lg6
=2lg3/(lg2+lg3)
=2alg2/(lg2+alg2)
=2a/(1+a)

2a/(a+1)
因为log6^9
=log9/log6
=2log3/(log3+log2)
=2a/(a+1)