ABC are real numbers greater than 1 . if loga X=24, log bX=40 and log abcX =12 then logcX equals is
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it's easy
given logₐ x = 24 ⇒ log x / log a = 24
= log a / log x = 1/24
similarly log b / log x = 1/40
and log abc / log x = 1/ 12 = log a + log b + log c / log x = 1/12
= log c / log x = 1/12 - 1/40 - 1/24 = 1/60
now log x / log c = 60 = log base(c) x = 60
hope u'll get it..................doubts? ask !
given logₐ x = 24 ⇒ log x / log a = 24
= log a / log x = 1/24
similarly log b / log x = 1/40
and log abc / log x = 1/ 12 = log a + log b + log c / log x = 1/12
= log c / log x = 1/12 - 1/40 - 1/24 = 1/60
now log x / log c = 60 = log base(c) x = 60
hope u'll get it..................doubts? ask !
Ravi204:
log c -loga and b
why logax are writing 1/24
u see there's a property : log base (a) x = can be written as log base(10) x / log base(10) a which equals = 24
now reciprocal of it = 1/24
yes i understand
thank you
do u get...........generally we don't write base 10 , so written as simply log x...........mind u here a and x aren't in multiplication.....isn't it?
ok
hope that no more queries.......?
yes
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2
Answer:
60
Step-by-step explanation:
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