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