Question 972534
(Early steps are abbreviated)


{{{4^(x-1+2)+4(x-1)=10}}}


{{{4^(x-1)4^2+4^(x-1)=10}}}


{{{4^(x-1)*17=10}}}


{{{4^(x-1)=10/17}}}


next is use logarithms, any base you want.


{{{log((10/17))=log((4^(x-1)))}}}


{{{log((10/17))=(x-1)*log((4))}}}


{{{highlight(log((10/17))+log((4))=x)}}}