已知 log3(x)=-1/log2(3) 则x^-3=

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已知log3(x)=-1/log2(3)则x^-3=已知log3(x)=-1/log2(3)则x^-3=已知log3(x)=-1/log2(3)则x^-3=log3(x)=-1/log2(3)log3

已知 log3(x)=-1/log2(3) 则x^-3=
已知 log3(x)=-1/log2(3) 则x^-3=

已知 log3(x)=-1/log2(3) 则x^-3=
log3(x)=-1/log2(3)
log3(x)=-1/(lg3/lg2)
log3(x)=-lg2/lg3
log3(x)=lg2^(-1)/lg3
log3(x)=log3(2^-1)
x=1/2
所以x^-3=8

log3(x)=-1/log2(3)=-log3(2)=log3(1/2)
所以x=1/2,所以x^(-3)=8

log3(x)=-1/log2(3)=>lnx/ln3=-ln2/ln3
lnx=-ln2
x=1/2
x的负三次方等于8