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{C}log(2)[log(2)log(2)log(2)(65536)]=2...

{C}log_(2)[log_(2)log_(2)log_(2)(65536)]=2

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log_(2)[log_(2) {log_(2)(log_(3) 81)}] =

3log_(2)5+log_(2)10-log_(2)625

The value of expression (log_(100)10)(log_(2)(log_(4)2))(log_(4)log_(2)(256)^(2))) is

log_(4)(log_(2)x)+log_(2)(log_(4)x)=2

log_(4)(log_(2)x)+log_(2)(log_(4)x)=2

((log_(100)10)(log_(2)(log_(4)2))(log_(4)log_(2)^(2)(256)^(2)))/(log_(4)8+log_(8)4)=

((log_(100)10)(log_(2)(log_(4)2))(log_(4)log_(2)^(2)(256)^(2)))/(log_(4)8+log_(8)4)=

((log_(100)10)(log_(2)(log_(4)2))(log_(4)log_((2)^(2))(256)^(2)))/(log_(4)8+log_(8)4)=