Đáp án:
a. `x∈{17;-19}`
b. `x=1`
c. `x∈{4;-2}`
d. `x=2`
e. `x=9`
Giải thích các bước giải:
a. `96-3|x+1|=42`
`→-3|x+1|=-96+42`
`→-3|x+1|=-54`
`→|x+1|=-54:(-3)`
`→|x+1|=18`
`→`\(\left[ \begin{array}{l}x+1=18\\x+1=-18\end{array} \right.\)
`→`\(\left[ \begin{array}{l}x=17\\x=-19\end{array} \right.\)
Vậy: `x∈{17;-19}`
b. $5^{x+3}-13=612$
$→5^{x+3}=625$
$→5^{x+3}=5^4$
$→x+3=4$
$→x=1$
Vậy: `x=1`
c. `(x-1)^2 . 2^2=36`
`→(x-1)^2 . 4=36`
`→(x-1)^2=9`
`→`\(\left[ \begin{array}{l}x-1=3\\x-1=-3\end{array} \right.\)
`→`\(\left[ \begin{array}{l}x=4\\x=-2\end{array} \right.\)
Vậy: `x∈{4;-2}`
d. `x^2 . x^4 . x = 2^8:2`
`→x^7=2^7`
`→x=2`
Vậy: `x=2`
e. `2^x+88=600`
`→2^x=600-88`
`→2^x=512`
`→2^x=2^9`
`→x=9`
Vậy: `x=9`
