(1)方程4的x次方+2的x次方-2=0的解是多少?(2)方程log以4為底(3x-1)的對(duì)數(shù)=log以4為底(x-1)的對(duì)數(shù)+log以4為底(3+x)的對(duì)數(shù)的解是多少?(3)設(shè)函數(shù)f(x),x∈R,都滿足f(3+x)=f(3-x),且方程
(1)方程4的x次方+2的x次方-2=0的解是多少?(2)方程log以4為底(3x-1)的對(duì)數(shù)=log以4為底(x-1)的對(duì)數(shù)+log以4為底(3+x)的對(duì)數(shù)的解是多少?(3)設(shè)函數(shù)f(x),x∈R,都滿足f(3+x)=f(3-x),且方程f(x)=0恰有6個(gè)不同的實(shí)數(shù)根,則這6個(gè)實(shí)根的和為?(4)函數(shù)y=根號(hào)下log以1/2為底(x^2-1)的對(duì)數(shù)的定義域是?單調(diào)增區(qū)間是?
數(shù)學(xué)人氣:224 ℃時(shí)間:2020-06-24 02:37:36
優(yōu)質(zhì)解答
1.設(shè)2^x=a則a^2+a-2=0,解得a=1或-2(舍去)即2^x=1,所以x=02.兩邊取4的乘方,得3x-1=(x-1)(3+x)即x^2-x-2=0,解得x=-1或2,又3x-1>0,x-1>0,3+x>0所以x=23.實(shí)根成對(duì)圍繞3出現(xiàn),則和為6*6=364.x^2-1>0,log(1/2)(x^2-1)>=0,...
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