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bagirrra123 [75]
3 years ago
10

Solve for x: x^4 = 3^x

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.

This equation has 3 real solutions, approximately ...
  x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}

_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
  g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.

Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.

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Write four solution of the equation=2x+y=7​
Fantom [35]

Step-by-step explanation:

x = 1, y = 5

x = 2, y = 3

x =3, y= 1

x=4 y=-1

4 0
3 years ago
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
vivado [14]

Answer:

hello there,

the answer for this equation is:

The value of Start Fraction 6 Over x End Fraction + 2x2, when x = 3 is 20.

Step-by-step explanation:

:\frac{6}{x} + 2x^{2} \\ \\\\ \frac{6}{3} + 2(3)^{2}\\\\\\2+2*9 =\\\\\\\\2+18=20

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2 years ago
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What is the inverse of y = 3* ?
grin007 [14]
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Which statement is true? The function is only increasing when x ≥ −8. The function is only increasing when x ≥ 0. The function i
Artist 52 [7]

Answer:

THE FUNCTION IS ALWAYS INCREASING.

Complete question: The graph of f(x)= power of 3√x + 8 is shown.

Step-by-step explanation:

See attachment for the missing graph.

when x = -16 ; y = -2

when x = -12 ; y = -1.5

when x = -8 ; y = 0

when x = -6 ; y = 1.25

when x = 0 ; y = 2

when x = 6 ; y = 2.5

As the value of x increases, so does the value of y. Thus, the function is always increasing. 

6 0
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