Question

2的a次方=5,log2底3=b,求log15底10

Answer 1

2^a=5，2^b=3

所以15=2^(a+b)

log(15,10)=log(2^(a+b),2^(a+1))=log(2,2^（a+1）)/log(2，2^(a+b))=(a+1)/(a+b)