Question 1207478: Solve: 2^x + x = 5 , x is real
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website! .
This equation can not be solved algebraically.
It can be solved approximately, using numerical methods.
Go to web-site www.desmos.com/calculator,
print there y = 2^x + x - 5 and get the plot.
Click where the plot intersects x-axis. You will see the number 1.716.
It is an approximate solution and your answer.
Solved, with explanations.
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Also, there are supporting thoughts that may help you to feel more confidence.
Notice that left side of the equation is the function, which monotonically increases.
At x= 1, left side is 2 + 1 = 3.
At x= 2, left side is 4 + 2 = 6.
It tells you that the solution does exist, that there is only one solution
(= the solution is unique), and that the solution is between 1 and 2.
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