Math, asked by Hardik042, 5 months ago

loga 21-loga 3-loga7

Answers

Answered by creativevishnu4
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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Thank You

Answered by Nylucy
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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