Giải thích các bước giải:
`a)(2x-1)^2-11=14`
`(2x-1)^2=14+11`
`(2x-1)^2=25`
`(2x-1)^2=5^2`
`2x-1=5`
`2x=5+1`
`2x=6`
`x=6:2`
`x=3`
`b)(3x+1)^3+16=17`
`(3x+1)^3=17-16`
`(3x+1)^3=1`
`(3x+1)^3=1^3`
`3x+1=1`
`3x=1-1`
`3x=0`
`x=0:3`
`x=0`
Vậy `x=0`
`c)`
`13\leq2^x-3<509`
`13+3\leq2^x<509+3`
`16\leq2^x-3<512`
`2^4\leq2^x-3<2^9`
`4\leqx<9`
`=>x in{4;5;6;7;8}`
Vậy `x in{4;5;6;7;8}`
`d)`
`3^[x+2]+3^x=270`
`3^x.3^2+3^x=270`
`3^x.9+3^x.1=270`
`3^x(9+1)=270`
`3^x.10=270`
`3^x=270:10`
`3^x=27`
`3^x=3^3`
`x=3`
Vậy `x=3`
`e)`
`2^[x+3]-2^[x+1]=48`
`2^x.2^3-2^x.2^1=48`
`2^x.8-2^x.2=48`
`2^x(8-2)=48`
`2^x.6=48`
`2^x=48:6`
`2^x=8`
`2^x=2^3`
`x=3`
Vậy `x=3`
