Question

If m^2x+1=m^9 what is the value of x?

If possible, enter your answer as an integer, like this: 42

If your answer must be rounded, enter it as a decimal rounded to one place, like this: 42.5

(i got 11, but it's not right)

Answer 1

Let us solve the equation $m^{2x+1}=m^9.$ It follows that $2x+1=9,$ and hence $2x=8.$ We conclude that the solution of the equation is $x=4.$