Question

a graph of the function ( y = log_{6}x ) is shown below. how many zeros does this function have?

Explanation:

Step1: Recall the definition of function zeros

The zero of a function \(y = f(x)\) is the value of \(x\) for which \(y = 0\). For the function \(y=\log_{6}x\), we set \(y = 0\).

Step2: Solve the equation \(\log_{6}x=0\)

Using the property of logarithms \(\log_{a}b = c\) is equivalent to \(a^{c}=b\). When \(a = 6\), \(c = 0\), we have \(6^{0}=x\). Since \(a^{0}=1\) for \(a
eq0\), then \(x = 1\).

Answer:

\(1\)