Question

The question was:
1/2 log 8 base 4 + log 32 base 4 - log 2 base 4

And of course, the Bot managed to mess this up. It wrote base 4, but calculated using base 2.
Since all the logs are base 4, and log_4(n) = 1/2 log_2(n), the sum of the logs using base 2 is just
1/4 log8 + 1/2 log32 - 1/2 log2
= 3/4 + 5/2 - 1/2
= 11/4
Note that this is indeed 1/2 the answer delivered by Bot.

Answer 1

Apologies for the confusion earlier. You are correct, the correct calculation should be performed using base 4, not base 2.

1/2 log 8 base 4 + log 32 base 4 - log 2 base 4

= 1/2 log_4(8) + log_4(32) - log_4(2)

= 1/2 * 3 + 5 - 1

= 3/2 + 5 - 1

= 11/2

So, the correct answer is indeed 11/2 or 5.5.

Thank you for pointing out the mistake.