Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. round to the nearest tenth. from the least to the greatest, the solutions are: x ≈ and x ≈ .

Explanation:

To solve log (−5.6x + 1.3) = −1 − x graphycally, you must graph this system of equations on the same coordinate plane:

1) To graph the equation 1 you can use these features of logarithmfunctions:

        log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒x = 0.3/5.6 ≈ 0.054

       x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11

        x            log (-5.6x + 1.3)

        -1           0.8

        -2           1.1

        -3           1.3

2) Graphing the equation 2 is easier because it is a line: y = - 1 - x

3) The solution or solutions of the equations are the intersection points of the two graphs. So, now the graph method just requires that you read the x coordinates of the intersection points. From the least to the greatest, rounded to the nearest tenth, they are:

what is the answer?

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