`a,125-3(x+8)=77`
`=>3(x+8)=125-77=48`
`=>x+8=48:3=16`
`=>x=16-8=8`
`b,(7x-11)^3=2^{2}.5^2-73`
`=>(7x-11)^3=4.25-73`
`=>(7x-11)^3=100-73=27`
`=>7x-11=3`
`=>7x=11+3=14`
`=>x=14:7=2`
`c,5^(x+1)+5^(x+2)=750`
`=>5^{x+1}(1+5)=750`
`=>6.5^(x+1)=750`
`=>5^(x+1)=750:6=125=5^3`
`=>x+1=3`
`=>x=2`
`d,(2x-1)^2018=(2x-1)^2019`
`=>(2x-1)^2018(2x-1-1)=0`
`<=>(2x-1)^2018(2x-2)=0`
`=>` \(\left[ \begin{array}{l}2x=1\\2x=2\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=\dfrac{1}{2}\\x=1\end{array} \right.\)