\(a,5^{14}.x=5^{17}\\ x=\dfrac{5^{17}}{5^{14}}=5^{17-14}=5^3=125\\ ----\\ b,5^x+5^{x+2}+5^{x+4}=16275\\ 5^x.\left(1+5^2+5^4\right)=16275\\ 5^x.651=16275\\ 5^x=\dfrac{16275}{651}=25=5^2\\ Vậy:x=2\\ -----\\ c,2^7.x-100=1948\\ 128.x=1948+100=2048\\ x=\dfrac{2048}{128}=16\)