log2底3 乘以 log三分之一底49 乘以 log7底8
问题描述:
log2底3 乘以 log三分之一底49 乘以 log7底8
答
log2 3*log(1/3) 49*log7 8 =(lg3/lg2)*[lg49/lg(1/3)]*(lg8/lg7) =(lg3/lg2)*[2lg7/(-lg3)]*(3lg2/lg7) =-6
log2底3 乘以 log三分之一底49 乘以 log7底8
log2 3*log(1/3) 49*log7 8 =(lg3/lg2)*[lg49/lg(1/3)]*(lg8/lg7) =(lg3/lg2)*[2lg7/(-lg3)]*(3lg2/lg7) =-6