Respuesta :

Answer:

Step-by-step explanation:

[tex]y=log_{2}(x-5)\\or~ x-5=2^y\\when y=0\\x-5=2^0=1\\x=1+5=6\\x~intercept~is~(6,0)[/tex]

Answer:

(6, 0 )

Step-by-step explanation:

To find the x- intercept let y= 0 and solve for x

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex], thus

[tex]log_{2}[/tex] (x - 5) = 0

x - 5 = [tex]2^{0}[/tex] = 1 ( add 5 to both sides )

x = 6

x- intercept = (6, 0 )