解方程0.125*4^(2X-3)=(√2 /8)^(-x)

问题描述:

解方程0.125*4^(2X-3)=(√2 /8)^(-x)

0.125*4^(2x-3)={(2^(1/2)/8]^(1/2)}^(-x)[1/8]*4^(2x-3)=[2^(1/2)* 2^(-3)]^(-x)(8(-1))*4^(2x-3)=[2^(-2.5)]^(-x)(2^(-3))*[(2^(-2))^ (2x-3)] =2^(2.5x)(2^(-3))*[2^(4x-6)]=2^(2.5x)2^(4x-9)=2^(2.5x)4x-9=2.5xx...