Question

graph the logarithmic function by writing the function in exponential form and making a table of points.
$y = \log_{4}x$
part: 0 / 3
part 1 of 3
$y = \log_{4}x$ written in exponential form is \boxed{}.

Explanation:

Step1: Recall Logarithm to Exponential Conversion

The definition of a logarithm states that if \( y = \log_{b}x \), then the exponential form is \( x = b^{y} \) (where \( b>0, b
eq1, x>0 \)).

Step2: Apply the Definition to Given Function

For the function \( y = \log_{4}x \), using the logarithm - to - exponential conversion formula with base \( b = 4 \), we substitute into \( x = b^{y} \). So we get \( x = 4^{y} \).

Answer:

\( x = 4^{y} \)