Asked by DAVE
log8 4(square root sign) 1/2
Answers
Answered by
Reiny
log<sub>8</sub> 4√(1/2)
recall that log<sub>a</sub>a^k = k
so we have to change 4√(1/2) to base 8
4√(1/2)
= 4/√2
= 4/√2 (√2/√2)
= 2√2
= (8^(1/3)) (8^(1/6))
= 8^(1/2)
so log<sub>8</sub> 4√(1/2)
= log<sub>8</sub> 8^(1/2)
= 1/2
recall that log<sub>a</sub>a^k = k
so we have to change 4√(1/2) to base 8
4√(1/2)
= 4/√2
= 4/√2 (√2/√2)
= 2√2
= (8^(1/3)) (8^(1/6))
= 8^(1/2)
so log<sub>8</sub> 4√(1/2)
= log<sub>8</sub> 8^(1/2)
= 1/2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.