(log3^2 + log9^4)×(log4^3 + log8^3)
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(log3^2+log9^4)×(log4^3+log8^3)(log3^2+log9^4)×(log4^3+log8^3)(log3^2+log9^4)×(log4^3+log8^3)首先解释一下l
(log3^2 + log9^4)×(log4^3 + log8^3)
(log3^2 + log9^4)×(log4^3 + log8^3)
(log3^2 + log9^4)×(log4^3 + log8^3)
首先解释一下ln4=2ln2
底数也有类似规律
log4^3=1/2(log2^3)
所以
(log3^2 + log9^4)×(log4^3 + log8^3)
= (log3^2 + log3^2)×((1/2)log2^3 + (1/3)log2^3)
=5/3
(log3 2+log9 4)*(log4 3+log8 3)
=(lg2/lg3+lg4/lg9)*(lg3/lg4+lg3/lg8)
=(lg2/lg3+2lg2/2lg3)*(lg3/2lg2+lg3/3lg2)
=(3lg2/lg3)*(lg3/2lg2+lg3/3lg2)
=(3lg2/lg3)*(3lg3/6lg2+2lg3/6lg2)
=(3lg2/lg3)*(5lg3/6lg2)
=3*5/6
=5/2
log3*2/log9*4
log3*2/log9*4=?
化简(log3 4)/(log9 8)
(log3^2 + log9^4)×(log4^3 + log8^3)
为什么log9 (9/2)=log3(81/4)
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计算:-5log9^4+log3^32/9-5log5^3-(1/64)^-2/3
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为什么log9(2)=log3(2)/2如题
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(log3 2+log9 2)*(log4 3+log8 3)求值
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