已知27^2X/9^X/3^X =27,求X的值!

问题描述:

已知27^2X/9^X/3^X =27,求X的值!

27^(2X)/9^X/3^X =27
得3^(3*2X)/3^(2*X)/3^X =27 (*为乘号)
3^6X/3^2X/3^X=27
3^(6X-2X-X)=27
(3^X)^3=27
3^X=3
X=1