The solution to the given equation using graph will be [tex][\frac{7-\frac{log5}{log9} }{3}, \frac{log5}{log9} ][/tex]
Let us show log₉5 as well as 7-3x on the graph.
As we know that y₁=log₉5 is a constant function with a value of slightly more than 0.5 because had it been log₉ 3 its value would have been 0.5.
While y₂=7-3x is an equation of a straight line.
From the attached graph we can see that there will be exactly one solution
To get the exact solution
Equate y₁=y₂
[tex]7-3x=[/tex] [tex]\frac{log5}{log9}[/tex]
[tex]x = \frac{7-\frac{log5}{log9} }{3}[/tex]
Therefore the solution to the above equation will be [tex][\frac{7-\frac{log5}{log9} }{3}, \frac{log5}{log9} ][/tex]
To get more about the solution by graph refer to the link,
https://brainly.com/question/14323743
