If log p/2 = log q/4 = log r/8 = k
Then find the value of k
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Answered by
11
I think pqr = 100 in the question …
____________
log p/2 = log q/4 = log r/8 = k
log p = 2k --------(1)
log q = 4k --------(2)
log r = 8k ---------(3)
(1) + (2) + (3)
log p + log q + log r = 2k+4k+8k
log pqr = 14k
log 100 = 14k
log 10² = 14k
2log 10 = 14k
2(1) = 14k
k = 2/14
k = 1/7
____________
log p/2 = log q/4 = log r/8 = k
log p = 2k --------(1)
log q = 4k --------(2)
log r = 8k ---------(3)
(1) + (2) + (3)
log p + log q + log r = 2k+4k+8k
log pqr = 14k
log 100 = 14k
log 10² = 14k
2log 10 = 14k
2(1) = 14k
k = 2/14
k = 1/7
vishagh:
Yes! Its from our book xD
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4
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