Question

use a graph or a table to find the following limit.
lim(x→∞) log₈(x)
lim(x→∞) log₈(x)= (simplify your answer.)

Explanation:

Step1: Recall logarithmic function property

The logarithmic function $y = \log_a(x)$ with $a>1$ (here $a = 8>1$) is an increasing function. As $x$ approaches infinity, the value of $\log_a(x)$ also approaches infinity.

Step2: Determine the limit

For $y=\log_8(x)$, as $x\to\infty$, $\log_8(x)\to\infty$.

Answer:

$\infty$