∴100====.
答案:
6.解析:∵log3(a+1)=1,∴a+1=31,即a=2.
∴loga2+log2(a-1)=log22+log2(2-1)=1+0=1.
答案:1
7.解:(1)∵log9=-2,∴()-2=9;
(2)∵10-3=0.001,∴log100.001=-3,
即lg 0.001=-3;
(3)∵log2(log5x)=1,∴log5x=2,∴x=52=25.
8.解:(1)由log8x=-,
得x=8=(23)=2-2=.
(2)由logx27=,得x=27,x=(33)=34=81.
(3)由log2(log5x)=0,得log5x=1,所以x=5.
(4)由log3(lg x)=1,得lg x=3,所以x=103=1 000.
9.解:∵log2x=3,log2y=5,
∴x=23,y=25,==
∴log2=log2=log22-2=-2.