Question

What is the equation of the vertical asymptote of the graph of y=log5(x-2)

Answer 1

hint \[\huge \log _a (0) = \infty\]
does that help?

Answer 2

so it is infinity

Answer 3

no...

Answer 4

\[y = \log_a (0) \implies \text{vertical asymptote}\]

Answer 5

let me give a real example..

Answer 6

\[\huge y = \log_2 (3x + 4)\]
the verical asymptote of this is when 3x + 4 = 0

so i solve for x

3x + 4 = 0
3x = -4
x = -4/3

does that help?

Answer 7

yes

Answer 8

so what is the vertical asymtote for \[\huge y = \log_5 (x-2)\]

Answer 9

x=2

Answer 10

right

Answer 11

so what is the equation

Answer 12

x = 2

Answer 13

that's the equation

Answer 14

ok