Problem

Use logarithms to find the $x$-intercept of the graph of the given function.
\[
y=11-9^{(x+1)}
\]
The $x$-intercept occurs at $x=\square$. (Round to two decimal places as needed.)

Answer

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Answer

\(\boxed{x=0.09}\)

Steps

Step 1 :The x-intercept of a function is the point where the function crosses the x-axis. At this point, the y-coordinate is 0. So, we need to solve the equation \(11 - 9^{(x+1)} = 0\) for x.

Step 2 :Solving for x, we get \(x = 0.09\).

Step 3 :\(\boxed{x=0.09}\)

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