Final answer:
The function g(x) = log_8(x) evaluated at g(32768) equals 5, as 8 raised to the power of 5 is 32768.
Step-by-step explanation:
To evaluate the function g(x) = log8x at the point g(32768), we need to find the logarithm of 32768 with the base 8. The question asks us to find how many times we must multiply 8 by itself to get 32768. We can write this as 8n = 32768. Through calculation or understanding that 8 raised to the power of 5 is 32768 (since 8 * 8 * 8 * 8 * 8 = 32768), we can determine that n = 5. Therefore, g(32768) = 5.