Question

What is the x-intercept of the function y = log2 (x - 5)?

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Answer:

(6, 0 )

Step-by-step explanation:

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

Using the rule of logarithms

$log_{b}$ x = n ⇒ x = $b^{n}$, thus

$log_{2}$ (x - 5) = 0

x - 5 = $2^{0}$ = 1 ( add 5 to both sides )

x = 6

x- intercept = (6, 0 )