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Select the correct answer from each drop-down menu.

Consider the following equation:
[tex]\[ 3^x = 2^{-x} + 4 \][/tex]

If the equation is solved using successive approximation, select the value of [tex]\( x \)[/tex] after the following number of iterations.

1 iteration: [tex]\( x = \square \)[/tex]

2 iterations: [tex]\( x = \square \)[/tex]

3 iterations: [tex]\( x = \square \)[/tex]



Answer :

GinnyAnswer
To solve the equation [tex]\(3^x = 2^{-x} + 4\)[/tex] using successive approximation, we can follow an iterative approach. Here are the values of [tex]\(x \)[/tex] after each iteration:

1 iteration: [tex]\(x = 1.464973520717927\)[/tex]
2 iterations: [tex]\(x = 1.3407698088600604\)[/tex]
3 iterations: [tex]\(x = 1.3475402553084932\)[/tex]

Therefore, the correct values to select from the drop-down menus are:

1 iteration: [tex]\(x = 1.464973520717927\)[/tex]
2 iterations: [tex]\(x = 1.3407698088600604\)[/tex]
3 iterations: [tex]\(x = 1.3475402553084932\)[/tex]

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