log2^3=a,log3^7=b求log3√7^(2√21)的值(请写过程)

log3√7^(2√21)=log3^(2√21)/分别求分子分母log3^(2√21)=log3^2+log3^(√3)+log3^(√7)=1/log2^3+log3^3/2+log3^7/2=1/a+1/2+b/2log3^(3√7)=log3^3+log3^(√7)=log3^3+log3^7/2=1+b/2所以log3√7^(2√21)的值为(...