Question

Can somebody help

Select the correct solution in the table.

Consider the equation below.
3^(-x) - 3 = 4^x - 1

Select the approximate solution to the equation.

x 3^(-x) -3 4^x - 1
-1.75 3.83 -0.91
-1.5 2.19 -0.88
-1.25 0.95 -0.82
-1 0 -0.75
-0.75 -0.72 -0.65
-0.5 -1.27 -0.50
-0.25 -1.68 -0.29

Answer 1

Answer: x = -0.75

-0.72 -0.65

Explanation:

Consider the equation below.

3^(-x) - 3 = 4^x - 1

consider the values of x = 1.75, -1.5, -1.25, -1, -0.75,-0.5,-0.25

x 3^(-x) -3 4^x - 1

-1.75 3.83 -0.91

-1.5 2.19 -0.88

-1.25 0.95 -0.82

-1 0 -0.75

-0.75 -0.72 -0.65

-0.5 -1.27 -0.50

-0.25 -1.68 -0.29

The bold values when x = -0.75 gives -0.72 and -0.65 is the approximate solution to the equation

by approximation -0.72 when rounded off = -0.7

and -0.65 when rounded off = -0.7

Answer 2

-0.75

Explanation:

The table values listed for the left side expression and the right side expression are closest together when the value of x is -0.75.

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A graphing calculator shows the expressions both have a value near -0.658 when x ≈ - 0.775. The closest table value to x = -0.775 is x = -0.75.