Question

Which logarithmic function has x = 5 as its vertical asymptote and (6, 0) as the x-intercept? (x is the variable.)
The logarithmic function is f(x) = log ?

Answer 1

Lets start from this. What is the vertical asymptote and x-intercept of a parent (initial) function \(\large\color{black}{ f(x)={\rm Log}(x) }\) ?

Answer 2

@SolomonZelman I don't know.

Answer 3

alright.... so lets explore it then....

are you aware of
1. \(\large\color{black}{ {\rm Log}(a^b) ~~~\Rightarrow ~~~b~{\rm Log}(a) }\)
2. `1 / A = A^(-1) `
??

Answer 4

@SolomonZelman No.

Answer 5

oh, ok, but do you understand the rules from now since I posted them?

Answer 6

@SolomonZelman No I don't understand any of this.

Answer 7

you don't give me any proper background to work with.

Answer 8

when you understand these rules, I will try to help, but honestly ... I am sorry.

Answer 9

@SolomonZelman I know the vertical asymptote is x=0 and the x intercept is one.

Answer 10

alright.... I guess we won't deal with why this is so, but lets just (rather) take it as given

\(\large\color{black}{ y={\rm Log}(x) }\)

x-intercept is (1,0)
and
vertical asymptote is x=0

Answer 11

now, you want the function to have the vertical asymptote of x=5, so shift the function 5 units right

Answer 12

@SolomonZelman so that's plus 5?

Answer 13

yes, where do you put the +5 ?

Answer 14

@SolomonZelman I have no clue