函数问题,请大神帮忙
1个回答
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2(2)原式=(lg5)² + lg2•lg(10×5)
=(lg5)² + lg2(lg10 + lg5)
=(lg5)² +lg2(1 + lg5)
=(lg5)² + lg2 + lg2•lg5
=lg5(lg5 + lg2) + lg2
=lg5•lg(5×2) + lg2
=lg5•lg10 + lg2
=lg5 + lg2
=lg(5×2)
=lg10
=1
=(lg5)² + lg2(lg10 + lg5)
=(lg5)² +lg2(1 + lg5)
=(lg5)² + lg2 + lg2•lg5
=lg5(lg5 + lg2) + lg2
=lg5•lg(5×2) + lg2
=lg5•lg10 + lg2
=lg5 + lg2
=lg(5×2)
=lg10
=1
更多追问追答
追答
1、(0,-4)
2(1)由已知:x²-x+1=4x-5
x²-5x+6=0
(x-2)(x-3)=0
∴x=2或x=3
(2)2^(x-1)=[2^(-2)]^x²+x-3
2^(x-1)=2^[-2(x²+x-3)]
2^(x-1)=2^(-2x²-2x+6)
则x-1=-2x²-2x+6
2x²-3x-7=0
则△=(-3)² - 4•2•(-7)=65
∴x=(3 ± √65)/4
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