a,$(x-1,5)^{x}$ =9
⇒$(x-1,5)^{x}$=3²
⇒$\left \{ {{x-1,5=3} \atop {x=2}} \right.$
⇒$\left \{ {{x=4,5} \atop {x=2}} \right.$
b,$(x-2)^{3}$ = 64
⇒$(x-2)^{3}$ = 4³
⇒x-2 = 4
⇒ x=6
c,$2^{4-x}$ = 32
⇒$2^{4-x}$ = $2^{5}$
⇒ 4-x=5
⇒x=-1
d, (x+1,5)²+$(y-2,5)^{100}$ =0
⇒$\left \{ {{(x+1,5)²=0} \atop {(y-2,5)^{100}=0}} \right.$
⇒$\left \{ {{x+1,5=0} \atop {y-2,5=0}} \right.$
⇒$\left \{ {{x=-1,5} \atop {y=2,5}} \right.$
g,|x-1,7|=43
⇒$\left \{ {{x-1,7=-43} \atop {x-1,7=43}} \right.$
⇒$\left \{ {{x=-41,3} \atop {x=44,7}} \right.$