12.计算:
(1)loga2+loga$\frac{1}{2}$(a>0,且a≠1);
(2)log318-log32;
(3)lg$\frac{1}{4}$-lg25;
(4)2log510+log50.25;
(5)2log525-3log264;
(6)log2(log216).
分析 利用对数的运算性质即可得出.
解答 解:(1)loga2+loga$\frac{1}{2}$=loga1=0;
(2)log318-log32=log39=2;
(3)lg$\frac{1}{4}$-lg25=$lg\frac{1}{100}$=lg10-2=-2;
(4)2log510+log50.25=$lo{g}_{5}(1{0}^{2}×0.25)$=$lo{g}_{5}{5}^{2}$=2;
(5)2log525-3log264=2×2-3×6=-14;
(6)log2(log216)=log24=2.
点评 本题考查了对数的运算性质,考查了计算能力,属于基础题.