Question

Logarithmic Functions Question, Many Points

I got the first part of this question correct, I believe.
I was supposed to find the graph with a base of 3 (attached), but now I need to justify my answers, which I don't understand. Here are the choices:

The graph of f(x)= log_3 x+c must intersect with the line y= c+1 when x= 3.

The graph of f(x)= log_3 x+c must intersect with the line y= c when x= 3.

The graph of f(x)= log_3 x+c must intersect with the line x= c when y= 3.

The graph of f(x)= log_3 x+c must intersect with the line x= c+1 when y= 3.

Answer 1

The best choice appears to be the first one.
The graph of
`f(x)=\log_(3)(x)+c` must intersect with the line y= c+1 when x= 3.

_____
See the attachment for plots of base-3 logarithms. Note that when
`c=1.4`, the value of f(3) is 1 more than the value of
`c`.