given the equation y = log₃x, answer the following questions: the x - intercept is 0. there is a point (9…
given the equation y = log₃x, answer the following questions: the x - intercept is 0. there is a point (9, 2). if the y - value is 3, then the x - value will be 0.
Answer
Explanation:
Step1: Recall log - function property
The equation is $y = \log_{3}x$.
Step2: Find x - value when y = 3
Substitute $y = 3$ into the equation $y=\log_{3}x$. By the definition of logarithms, if $y=\log_{a}x$, then $x = a^{y}$. Here $a = 3$ and $y = 3$, so $x=3^{3}$.
Step3: Calculate the value of x
$x = 3^{3}=27$.
Answer:
27