Question 934706


 {{{2^(x+4)-2^(x+1)=320}}}

{{{2^x*2^4-2^x*2^1=5*2^6}}}

{{{2^x(2^4-2)=5*2^6}}}

{{{2^x(14)=5*2^6}}}

{{{2^x=5*2^6/14}}}

{{{2^x=5*2^6/7*2}}}

{{{2^x=160/7}}}

{{{log (2^x)=log(160/7)}}}

{{{x*log (2)=log(160/7)}}}

{{{x=log(160/7)/log (2)}}}

{{{x =4.514573172829758240428350112257559367223804767058439828377464}}}- exact solution

{{{x=4.514573}}}  lowest number of decimal places that still gives us correct answer