Problem
Consider the function y=3log4(x-2) What is the The equations asymptotes
Solution
Step 1 ：Consider the function \(y=3\log_4(x-2)\).
Step 2 ：The vertical asymptote of a logarithmic function is the x-value that makes the argument of the logarithm equal to zero.
Step 3 ：So, set \(x-2=0\) and solve for \(x\).
Step 4 ：The solution is \(x=2\).
Step 5 ：Therefore, the vertical asymptote of the function \(y = 3\log_4(x-2)\) is \(\boxed{x = 2}\).
