(log(4)3+log(8)3)*lg2/lg3

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(log(4)3+log(8)3)*lg2/lg3

(log(4)3+log(8)3)*lg2/lg3
(log(4)3+log(8)3)*lg2/lg3

(log(4)3+log(8)3)*lg2/lg3
=[lg3/2lg2+lg3/3lg2)×lg2/lg3
=lg3/2lg2×lg2/lg3+lg3/3lg2 ×lg2/lg3
=1/2+1/3
=5/6