log2^3 =a log3^7 =b 求用a,b表达log14^56

问题描述:

log2^3 =a log3^7 =b 求用a,b表达log14^56

答:
ab=log2^7
ab+1=log2^7+1=log2^14
ab+3=log2^7+3=log2^56
log14^56=(ab+3)/(ab+1)