Question

Can somebody help

Answer 1

Answer: x = -0.75

            -0.72   -0.65

Step-by-step 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

Answer:

  -0.75

Step-by-step 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.