loga 21-loga 3-loga7
Answers
Answered by
1
Answer:
0
Step-by-step explanation:
To answer this, you need 2 formulas.
1.log(x) +log (y) = log (xy) [such that log (x) and log (y)have a common base 'a'.]
2. log(x) - log(y) =log(x/y) [such that log (x) and log (y)have a common base 'a'.]
Now,
take question.
log (21) - log(3)- log(7)
= log 21 - [log 3+ log 7]
According to 1st formula,
= log 21 - log(3*7)
=log 21 - log 21
= 0
Hope it helps
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Answered by
1
Step-by-step explanation:
We have to find x so that log (a) x= log (a) 7 + log(a) 3 - log(a) 11
Now we know that log a + log b = log ab and log a-log b = log(a/b)
log (a) x= log (a) 7 + log(a) 3 - log(a) 11
=> log(a) x = log(a) 7*3/11
=> log(a) x = log(a) (21/11)
Taking the antilog of both the sides we get x = 21/11.
Therefore x = 21/11
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