To evaluate the function [tex]\( g(x) = 6^x \)[/tex] at [tex]\( x = 5.1 \)[/tex], we follow these steps:
1. Substitute [tex]\( x \)[/tex] with 5.1 in the function:
[tex]\[
g(5.1) = 6^{5.1}
\][/tex]
2. Calculate [tex]\( 6^{5.1} \)[/tex]. This value is:
[tex]\[
g(5.1) = 9301.893802267823
\][/tex]
3. Round the result to 4 decimal places:
[tex]\[
g(5.1) \approx 9301.8938
\][/tex]
Therefore, [tex]\( g(5.1) \approx 9301.8938 \)[/tex].
