Làm nhanh giúp mình với

`a) 3+ 2^(x-1) = 24 - [4^2- (2^2 -1)]`

`⇔ 3+ 2^(x-1) = 24 - [16- (4 -1)]`

`⇔ 3+ 2^(x-1) = 24 - 16+ 4 -1`

`⇔ 3+ 2^(x-1)= 11`

`⇔ 2^(x-1)= 11 - 3`

`⇔ 2^(x-1)= 8`

`⇔ 2^(x-1)= 2^3`

`⇔ x-1= 3`

`⇔ x= 3+1`

`⇔ x= 4`

Vậy `x=4`

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`b) (x+1)+ (x+2)+(x+3)+....+ (x+100)= 205550`

`⇔ (x+x+x+....+x)+(1+2+3+...+100)= 205550`

`⇔ 100x + ((100+1). 100)/2= 205550`

`⇔ 100x + 5050= 205550`

`⇔ 100x= 205550 - 5050`

`⇔ 100x= 200500`

`⇔ x= 200500 : 100`

`⇔ x= 2005`

Vậy `x= 2005`

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`c) |x+5|= 18 + 2.(-8)`

`⇔ |x+5| = 18- 16`

`⇔ |x+5|= 2`

`⇔` \(\left[ \begin{array}{l}x+5=2\\x+5=-2\end{array} \right.\) 

`⇔` \(\left[ \begin{array}{l}x=2 -5\\x=-2 - 5\end{array} \right.\) 

`⇔` \(\left[ \begin{array}{l}x=-3\\x=-7\end{array} \right.\) 

Vậy `x ∈ {-3; -7}`

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`d) (3x - 2^4). 7^5 = 2. 7^6 . 1/(2009^0)`

`⇔ (3x - 16). 7^5 = 2. 7^6 . 1`

`⇔ 3x-16 = 2. 7^6 : 7^5`

`⇔ 3x-16 = 2. 7`

`⇔ 3x- 16= 14`

`⇔ 3x= 14 + 16`

`⇔ 3x= 30`

`⇔ x= 30:3`

`⇔ x= 10`

Vậy `x=10`