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Using graphing, what are the approximate solutions to this equation? |2x-3|=log(2x-3)+2

Using Graphing What Are The Approximate Solutions To This Equation 2x3log2x32 class=

Sagot :

MrRoyal

The approximate solutions are: x = 1.505 and x = 2.688

Equation solutions

The solutions to an equation can be solved by graphing calculators and by solving them explicitly.

The equation is given as:

[tex]|2x-3|=\log(2x-3)+2[/tex]

Start by splitting the given equation, as follows:

  • [tex]|2x-3|=0[/tex],
  • [tex]\log(2x-3)+2 =0[/tex]

Rewrite the above equations as follows:

  • [tex]y = |2x-3|[/tex].
  • [tex]y = \log(2x-3)+2[/tex]

The graphs

Plot the graphs of the above equations (see attachment).

From the graph, the equations intersect at the following points

  • x = 1.505
  • x = 2.688

Hence, the approximate solutions are: x = 1.505 and x = 2.688

Read more about approximate solutions at:

https://brainly.com/question/13729904

View image MrRoyal
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