8^(-1/3)+log3(1/27)+log6(5)*[log5(2)+log5(3)]+10^lg3=?
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8^(-1/3)+log3(1/27)+log6(5)*[log5(2)+log5(3)]+10^lg3=?
8^(-1/3)+log3(1/27)+log6(5)*[log5(2)+log5(3)]+10^lg3=?
8^(-1/3)+log3(1/27)+log6(5)*[log5(2)+log5(3)]+10^lg3=?
8^(-1/3)+log3(1/27)+log6(5)*[log5(2)+log5(3)]+10^lg3
=1/2 + (-3) + log6(5) * log5(2*3) + 3
=1/2 - 3 + 1 +3
=3/2 =1.5
注意用到了对数的几个规律,
1,基本性质 a^(log(a)b)=b
2,换底公式:log(a)(N)=log(b){N}÷log(b){a}
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8^(-1/3)+log3(1/27)+log6(5)*[log5(2)+log5(3)]+10^lg3=?