To evaluate the logarithm [tex]\(\log_3(23)\)[/tex] and round it to four decimal places, we start with the given logarithmic expression:
[tex]\[
\log_3(23)
\][/tex]
The goal is to find the value of this logarithm and then round the result to four decimal places. We proceed by calculating the logarithm, which yields:
[tex]\[
\log_3(23) = 2.8541
\][/tex]
This value is already given, and once computed, we can directly round it to four decimal places. Hence, the value of [tex]\(\log_3(23)\)[/tex], accurate to four decimal places, is:
[tex]\[
2.8541
\][/tex]
