log2底24+log7底343-log2底3+(log9底8乘log16底27)
问题描述:
log2底24+log7底343-log2底3+(log9底8乘log16底27)
如题
答
原式=log2底24-log2底3+log7底343+(log9底8乘log16底27)
log2底24-log2底3=3
log7底343=3
log9底8=3/2*log3底2
log16底27=3/4*log2底3
因为log3底2*log2底3=1
所以原式=3+3+9/8=57/8