a graph of the function ( y = log_{6}x ) is shown below. how many zeros does this function have?
a graph of the function ( y = log_{6}x ) is shown below. how many zeros does this function have?
Answer
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\neq0), then (x = 1).
Answer:
(1)