题目
log2√5/56+log^14-1/2log2^35 （2lg2+lg3)/(2+lg0.36+2lg2)
√是根号,5/56全在根号下
√是根号,5/56全在根号下
提问时间：2021-04-01
答案
log2 (5/56)^(1/2)+log2 (14)-(1/2)log2 (35)
=1/2log2 (5/56)-1/2log2 (35)+log2 (14)
=1/2[log2 (5/56/35)]+log2 (14)
=1/2log2 [1/(7^2*8)]+log2 (14)
=1/2(log2 [7^(-2)*2^(-3)]+log2(2*7)
=1/2[-2log2 (7)-3]+log2 (2)+log2 (7)
=-log2 (7)-3/2+1+log2 (7)
=-1/2
=1/2log2 (5/56)-1/2log2 (35)+log2 (14)
=1/2[log2 (5/56/35)]+log2 (14)
=1/2log2 [1/(7^2*8)]+log2 (14)
=1/2(log2 [7^(-2)*2^(-3)]+log2(2*7)
=1/2[-2log2 (7)-3]+log2 (2)+log2 (7)
=-log2 (7)-3/2+1+log2 (7)
=-1/2
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