Question

Which of the following is equivalent to log 8 40 rounded to three decimal places?

Answer 1

Answer:
1.774

Step-by-step explanation:
Before we begin, remember the following rules:
logₐ(a) = 1
log(ab) = log(a) + log(b)

Now, for the given:
log₈(40) = log₈(5*8)
= log₈(5) + log₈(8)
= 0.7739 + 1
= 1.7739 which is approximately 1.774

Hope this helps :)