Asked by Prosper
Given that h=log2 And k=log7 Express log square root of 392 In term of h and k, find x, such that log x=4h-k/2 leaving your answer as a surd
Answers
Answered by
oobleck
log √392 = 1/2 log 392 = 1/2 log(8*49)
= 1/2 (3log2 + 2log7)
= (3h+2k)/2
(4h-k)/2 = (4log3 - log7)/2 = 1/2 log(3^4 * 7) = log√567
= 1/2 (3log2 + 2log7)
= (3h+2k)/2
(4h-k)/2 = (4log3 - log7)/2 = 1/2 log(3^4 * 7) = log√567
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.