Consider the function
y=3log4(x-2)
What is the The equations asymptotes

Answer

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Answer

Therefore, the vertical asymptote of the function \(y = 3\log_4(x-2)\) is \(\boxed{x = 2}\).

Steps

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 \(\boxed{x = 2}\).