Question

y = (-2)5Xy=18The X next to the 5 should be superscript (sorry don't know how to type it)Solve the equations and check for extraneous solutions

Answer 1

we have the equations

`\begin{gathered} y=-2(5)^x \\ y=18 \end{gathered}`

Solve the system of equations

Equate both equations

`-2(5)^x=18`

Solve for x

`\begin{gathered} (5)^x=-(18)/(2) \\ 5^x=-9 \end{gathered}`

The system has no solution

The number 5 elevated to any number x cannot be a negative number