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Four raise to power x minus one minus nine (2) raise to power x = minus 2​

User Andreyro
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Answer:

To solve the equation "4^x - 1 - 9(2)^x = -2" for x, we can follow these steps:

1. Simplify the equation:

4^x - 1 - 9(2)^x = -2

2. Combine like terms on the left side of the equation:

4^x - 9(2)^x - 1 = -2

3. Add 2 to both sides to isolate the terms with x on the left side:

4^x - 9(2)^x - 1 + 2 = 0

4^x - 9(2)^x + 1 = 0

4. Rearrange the equation to group the terms involving x:

4^x + 1 - 9(2)^x = 0

Now, the equation is in a form where we can solve for x. However, it does not have a simple algebraic solution. We will need to use numerical methods or a graphing calculator to approximate the value of x that satisfies the equation.

If you have access to a graphing calculator or a computer software, you can plot the graph of the equation and find the x-intercept(s), which correspond to the solutions. Alternatively, you can use numerical methods such as the Newton-Raphson method or the bisection method to approximate the solutions.

User Vadym Chumel
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