=lg²5 + lg2×lg(100÷2) + 2的(2倍log2为底数3)
=lg²5 + lg2×(lg100-lg2) + 2的(log2为底数9)
=lg²5 + lg2×(2-lg2) + 9
=lg²5 + 2lg2 - lg²2 + 9
=(lg5+lg2)(lg5-lg2)+2lg2
=lg(2×5)×lg(5÷2) + lg4
=lg10×lg2.5 + lg4
=1×lg2.5 + lg4
=lg2.5 + lg4
=lg(2.5×4)
=lg10
=1
=lg²5 + lg2×lg(100÷2) + 2的(2倍log2为底数3)
=lg²5 + lg2×(lg100-lg2) + 2的(log2为底数9)
=lg²5 + lg2×(2-lg2) + 9
=lg²5 + 2lg2 - lg²2 + 9
=(lg5+lg2)(lg5-lg2)+2lg2
=lg(2×5)×lg(5÷2) + lg4
=lg10×lg2.5 + lg4
=1×lg2.5 + lg4
=lg2.5 + lg4
=lg(2.5×4)
=lg10
=1