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lg2lg50

(lg5)²+lg2*lg50 =(lg5)²+lg2×(lg5+lg10) =(lg5)²+lg2lg5+lg2lg10 =lg5(lg5+lg2)+lg2 =lg5lg10+lg2 =lg5+lg2 =lg10 =1 明教为您解答, 如若满意,请点击[满意答案];如若您有不满意之处,请指出,我一定改正! 希望还您一个正确答复!...

(lg5)^2+lg2lg50 =(lg5)^2+lg2lg(5*10) =(lg5)^2+lg2(lg5+lg10) =(lg5)^2+lg2(lg5+1) =(lg5)^2+lg2*lg5+lg2 =(lg5)*(lg5+lg2)+lg2 =(lg5)*lg(5*2)+lg2 =(lg5)+lg2 =lg(5*2) =1

lg²5+lg2(lg5+lg10) =lg²5+lg2lg5+lg2 =lg5(lg5+lg2)+lg2 =lg5+lg2 =1

(lg2)²+lg2lg50+lg25 =(lg2)²+lg2×lg(5²×2)+lg5² =(lg2)²+lg2(2lg5+lg2)+2lg5 =(lg2)²+(lg2)²+2lg2lg5+2lg5 =2lg2lg2+2lg2lg5+2lg5 =2lg2(lg2+lg5)+2lg5 =2lg2×lg10+2lg5 =2lg2+2lg5 =2(lg2+lg5) =2

(lg2)³+(lg5)³+3lg2×lg5 =(lg2+lg5)[(lg2)²-lg2lg5+(lg5)²]+3lg2×lg5 =(lg2)²-lg2lg5+(lg5)²+3lg2×lg5 =(lg2)²+2lg2lg5+(lg5)² =(lg2+lg5)² =1

你好! 1+lg50/lg2 1=lg2/lg2,那么 1+lg50/lg2 =lg2/lg2+lg50/lg2 =(lg2+lg50)/lg2 =(lg(2*50))/lg2 =lg100/lg2 =2/lg2 谢谢!

写成式子: lg2×lg2+lg50×lg4+lg4+lg5×lg5+lg25 =lg2×lg2+lg(2×5^2)×lg(2^2)+lg(2^2)+lg5×lg5+lg(5^2) 由lg(a*b)=lga+lgb,lg(a^b)=blga得到 =lg2×lg2+(lg2+2lg5)×2lg2+2lg2+lg5×lg5+2lg5 =lg2*lg2+2lg2*lg2+4lg2*lg5+2lg2+lg5*lg5+2lg5 =3(lg2...

(1)由题意知原方程可化为3 x2?1?32x=32,∴x2-1+2x=2,即x2+2x-3=0,解得x=1,或x=-3,∴解方程(13) 1?X2?9X=9的解为x=1,或x=-3; (2)原式=lg5(lg2+1)-lg2(lg5+1)-2lg5 =-lg5-lg2=-1.

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