高一数学,log5^3=a,log5^2=b,用a、b表示,log1.5^2.4
问题描述：
高一数学,log5^3=a,log5^2=b,用a、b表示,log1.5^2.4
答
换底公式log1.5^2.4=log5^2.4/log5^1.5=(log5^12-log5^5)/(log5^3-log5^2)=(log5^(3*4)-log5^5)/(log5^3-log5^2)=(log5^3+log5^4-log5^5)/(log5^3-log5^2)=(log5^3+2log5^2-log5^5)/(log5^3-log5^2)=(a+2b-1)/(a-b)...