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Shanghai Education Edition, Senior One Mathematics, 4.4( 1)
( 1)log3(8 1)= 4; log 16(2)= 1/4; log2( 16√2)= 9/2; log 125( 1/25)=-2/3;

(2)4^(3/2)=8; 3^ 1=3; 7^0= 1; 2^(- 1/3)= 1/8;

(3)2; 1/2; -7; - 1;

(4)x=2^4= 16; x = 8; x = 1/4; x =√ 10/ 10;

(5)0. 12 0.38

0.90 0.73

1.0 0.66

The common logarithmic value of positive numbers less than 10 is less than 1, and the logarithmic value increases with the increase of real numbers.