求[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]的值
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/26 15:37:37
求[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]的值
[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]
=[(lg(5)+lg(2))(lg(5)-lg(2))/2(lg5-lg2)]*log(1/2)(1/2)^2+2^3[log(4)(3/5)^2]
=[(lg(5)+lg(2))/2]*2+2^2[log(4)(3/5)^3]
=(1/2)*2+4^[log(4)(3/5)^3]
=1+(3/5)^3
=1+27/125
=152/125
=[(lg(5)+lg(2))(lg(5)-lg(2))/2(lg5-lg2)]*log(1/2)(1/2)^2+2^3[log(4)(3/5)^2]
=[(lg(5)+lg(2))/2]*2+2^2[log(4)(3/5)^3]
=(1/2)*2+4^[log(4)(3/5)^3]
=1+(3/5)^3
=1+27/125
=152/125
求[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]的值
(Log(4)3+log(8)3)(log(3)2+log(9)2) 顺便问下lg3乘lg4=lg(3+4)?
log以2为底3的对数*log以3为底4的对数+lg4+lg25=多少?(求详解)
(log(3)2+lg(9)2)(log(4)3+log(8)3)
1/2lg25+lg2-lg根号0.1-log以2为底9的对数*log以3为底2的对数
计算log3 (4√27)/3 +lg25 +lg4 +7^(log 7 2)
求下列函数的定义域:(1)y=√4-log₂ x ;(2)y=√lgx+lg(5-3x),lg(5-3x)不
lg(7*2^x+8)>=log(√10) 2^x,求函数f(x)=log(1/2)x*log(1/2)x/4的最小值
lg*log(2)12的值
计算(1/9)^-3/2+64^2/3+log以3为底27的对数+lg25+lg4
已知log(12)27=a,求lg(2)/lg(3)的值
计算(2^2)*(16^3/4)+(2lg根号2)+(1/2lg25)+(lg∏)^0