Question

Graph the following log equation:
y+ log(base1/3)(x-2)

Increase or Decreasing?
X Intercept?
Vertical Asymptote?
Domain
Range

Answer 1

\[y = \log_{1/3}(x-2) \]

Answer 2

Domain: x - 2 > 0
=> x > 2

Answer 3

Range: R

Answer 4

Log is increasing function

Answer 5

it has vertical asymptote of x = 0

Answer 6

What about the x-intercept? @Kanwar245

Answer 7

x = 3

Answer 8

Can you show me how you got that? Thank you so much! @Kanwar245

Answer 9

x-intercept means where it crosses x-axis, i.e x - 2 = 1 => x = 3
since log 1 = 0

Answer 10

log (x-2) = 0 when x - 2 = 1

Answer 11

Thank you so much! @Kanwar245

Answer 12

How would I sketch the graph? @kanwar245