All the question says is solve for x:
3 - x^2 = 2^x
(the 2 is an exponent of x and the x is an exponent of 2)
I wasn't sure if you would start by logging both sides of the equation? If you could show your process that would help me understand it better. Thanks in advance! :)
3 - x^2 = 2^x
(the 2 is an exponent of x and the x is an exponent of 2)
I wasn't sure if you would start by logging both sides of the equation? If you could show your process that would help me understand it better. Thanks in advance! :)
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The easy solution turns out to be x = 1.
The hard solution can be found by using a graphing calculator: x ≈ -1.637
Ordinarily, these types of equations cannot be solved algebraically because the left side is algebraic but the right side is transcendental.
The hard solution can be found by using a graphing calculator: x ≈ -1.637
Ordinarily, these types of equations cannot be solved algebraically because the left side is algebraic but the right side is transcendental.
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There is no convenient "inverse function" to use to find x. However, you can solve it by observation with a little bit of thought. Keep your ideas simple. Think simple number, and integer....
I hate to give it away. If you give yourself ONE minute, I'm sure you'll get it.
(BTW there is a second solution, but you'll need a calculator or computer to approximate it.)
I hate to give it away. If you give yourself ONE minute, I'm sure you'll get it.
(BTW there is a second solution, but you'll need a calculator or computer to approximate it.)