`a)2^(x+3)=16`
`→2^(x+3)=2^4`
`→x+3=4`
`→x=1`
Vậy `x=1`
`b)(x+2)^5=32`
`→(x+2)^5=2^5`
`→x+2=2`
`→x=0`
Vậy `x=0`
`c)5^(x-1).5^2019=5^2020`
`→5^(x-1)=5^2020÷5^2019`
`→5^(x-1)=5`
`→5^(x-1)=5^1`
`→x-1=1`
`→x=2`
Vậy `x=2`
`d)|-15|-|x-3|=|-10|`
`→15-|x-3|=10`
`→|x-3|=15-10`
`→|x-3|=5`
`→` \(\left[ \begin{array}{l}x-3=5\\x-3=-5\end{array} \right.\)
`→` \(\left[ \begin{array}{l}x=5+3=8\\x=-5+3=-2\end{array} \right.\)
Vậy `x∈{8;-2}`
`e)|x-2|-5=4`
`→|x-2|=4+5`
`→|x-2|=9`
`→` \(\left[ \begin{array}{l}x-2=9\\x-2=-9\end{array} \right.\)
`→` \(\left[ \begin{array}{l}x=9+2=11\\x=-9+2=-7\end{array} \right.\)
Vậy `x∈{11;-7}`