log2的3次方×log3的4次方+8的负3分之2次方 等于多少
问题描述：
log2的3次方×log3的4次方+8的负3分之2次方 等于多少
答
log2(3)*log3(4)+8^(-2/3)
=lg3/lg2*lg4/lg3+2^[(3)*(-2/3)]
=2+2^(-2)
=2.25
答
用换底公式将底数化成一样的再合并同类项
答
log2(3)×log3(4)+8^(-2/3)
=(lg3/lg2)×(lg4/lg3)+(2^3)^(-2/3)
=(lg4/lg2)+2^[3×(-2/3)]
=2lg2/lg2+2^(-2)
=2+1/2^2
=9/4