Answer:
x=1.25
Step-by-step explanation:
We want to solve [tex]\log_3(x+1)=\log_6(5-x)[/tex] by graphing.
We let [tex]y=\log_3(x+1)[/tex] and also
[tex]y=\log_6(5-x)[/tex].
We graph both equations to obtain the graph shown in the attachment.
The two graphs intersect at (1.25,0.74)
Therefore the solution to [tex]\log_3(x+1)=\log_6(5-x)[/tex] is the x-coordinate of the point of intersection of the two graphs which is x=1.25.
