lg50盛lg4
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 09:52:38
lg25=lg5^5=5lg5lg4=2lg2==>lg25*lg4=(5lg5)*(2lg2)=10*lg2*g5再问:能在简吗
lg25+lg2*lg50+lg4=lg25+lg4+lg2*lg50=lg100+lg2*lg50=2+lg2*(lg25+lg2)=2+2lg2*(2lg5+lg2)=2+2lg2*(2-lg2)
lg[(5/2)*4]=lg10=1
=2lg²5+2lg2*(1+lg5)=2lg²5+2(1-lg5)(1+lg5)=2lg²5+2-2lg²5=2
lg2+lg2=2lg2,lg50+lg25=(lg5*10)+lg5*5=lg5+1+2lg5=1+3lg5
(lg50)^2+lg2*lg50^2+(lg2)^2=(lg50)^2+2lg2*lg50+(lg2)^2=(lg50+lg2)^2=(lg100)^2=2^2=4
lg25+lg4+lg5=lg(25*4)+lg5=lg100+lg5=2+lg5再问:还能继续化简吗再答:最简了要不就=2+lg(10/2)=2+lg10-lg2=3-lg2再问:哦哦我们老师出的题
=(lg5)²+lg2(lg5+lg10)=(lg5)²+lg2lg5+lg2×1=lg5(lg5+lg2)+lg2=lg5+lg2=1
可以化lg2乘(lg10+1g5)=(1+lg5)乘lg2好象就这样了就是它化不了了你可以用计算器核对一下绝对不等于2
=lg22+lg2^2*lg5+lg25=lg22+2*lg2*lg5+lg25=(lg2+lg5)^2=(lg10)^2=1^2=1
(lg2)²+lg2lg50+lg25=(lg2)²+lg2×lg(5²×2)+lg5²=(lg2)²+lg2(2lg5+lg2)+2lg5=(lg2
(lg5)^2+(lg2)*(lg50)=(lg5)^2+(lg2)*(lg2*25)=(lg5)^2+(lg2)*(lg2+lg5^2)=(lg5)^2+2lg2lg5+(lg2)^2=(lg5+l
=(lg5)^2+lg2*(lg5+1)=(lg5)^2+(1-lg5)(1+lg5)=(lg5)^2+1-(lg5)^2=1
lg25+lg5*lg4+lg2^2=lg5^2+lg5*lg2^2+lg2^2=lg5^2+2lg5lg2+lg2^2=(lg5+lg2)^2=(lg10)^2=1
lg4-lg3=154—233
(lg5)^2+(lg2)lg50=(lg5)^2+(lg2)lg5*10=(lg5)^2+(1-lg5)(lg5+1)=(lg5)^2+[1-(lg5)^2]=1
(lg5)²+lg2×(lg5+lg5+lg2)=(lg5)²+2lg2×lg5+(lg2)^2=(lg2+lg5)^2=(lg10)^2=1
lg5²+lg2*lg50化简=lg5²+lg2(lg5×5×2)=lg5²+lg2(2lg5+lg2)=log5²+2×lg2×lg5+(lg2)²
(lg5)^2+lg50*lg2=(lg5)^2+(lg25+lg2)*lg2=(lg5)²+lg5²lg2+(lg2)²=(lg5)²+2lg5lg2+(lg
1.(lg5)^2+lg50*lg2=(lg5)^2+(2lg5+lg2)*lg2=(lg5)^2+2(lg2)(lg5)+(lg2)^2=(lg2+lg5)^2=(lg10)^2=12.log↓b(