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Sagot :
The x-intercept is 4, and the asymptote is located at y = 3 , Option C is the correct answer.
What is an Asymptote ?
An asymptote is a line that a curve approaches but it never reach.
The given equation
y = log₅(x-3)
To find the asymptote
Set the argument of the logarithm equal to zero.
x - 3 = 0
The vertical asymptote occurs at
x = 3
The equation can also be written as
[tex]\rm 5^y = x-3[/tex]
To find the x intercept we will put the value of y = 0 ;
therefore
5⁰ = x -3
1=x-3
x = 4
Therefore ,The x-intercept is 4, and the asymptote is located at y = 3 , Option C is the correct answer.
To know more about Asymptote
https://brainly.com/question/4084552
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