Question

What are the solutions to the equation below: 4x^x+1 = 5^-x (100 points) THERE IS MORE THAN ONE ANSWER

Answer 1

`\\ \rm\rightarrowtail 4^(x+1)=5^(-x)`

`\\ \rm\rightarrowtail ln4^(x+1)=ln5^(-x)`

`\\ \rm\rightarrowtail (x+1)ln4=-xln5`

`\\ \rm\rightarrowtail xln4+ln4=-xln5`

`\\ \rm\rightarrowtail xln4+xln5=-ln4`

`\\ \rm\rightarrowtail x(ln4+ln5)=-ln4`

`\\ \rm\rightarrowtail x=(-ln4)/(ln4+ln5)`

`\\ \rm\rightarrowtail x=(-ln4)/(ln20)`

Option F is correct