Đáp án:
$a)x=\dfrac{7}{5}\\b)x=8$
Giải thích các bước giải:
`a)9^{x-1}.27^{x}=243`
`=>(3^2)^{x-1}.(3^3)^x=243`
`=>3^{2(x-1)}.3^{3x}=243`
`=>3^{2x-2+3x}=3^5`
`=>3^{5x-2}=3^5`
`=>5x-2=5`
`=>5x=7`
`=>x=7/5`
Vậy `x=7/5.`
`b)2^{-2}.2^{x}+2.2^{x}=9.2^{6}`
`=>2^{x}(2^{-2}+2)=9.2^{6}`
`=>2^{x}(1/4+2)=9.2^{6}`
`=>2^{x}*9/4=9.2^{6}`
`=>2^{x}=9.2^{6}:9/4`
`=>2^{x}=9.2^{6}*4/9`
`=>2^{x}=2^{6}.4`
`=>2^{x}=2^{6}.2^{2}`
`=>2^{x}=2^{6+2}=2^8`
`=>x=8`
Vậy `x=8.`