Aptitude - Logarithm - Discussion

Discussion Forum : Logarithm - General Questions (Q.No. 1)
1.
Which of the following statements is not correct?
log10 10 = 1
log (2 + 3) = log (2 x 3)
log10 1 = 0
log (1 + 2 + 3) = log 1 + log 2 + log 3
Answer: Option
Explanation:

(a) Since loga a = 1, so log10 10 = 1.

(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3

      log (2 + 3) log (2 x 3)

(c) Since loga 1 = 0, so log10 1 = 0.

(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.

So, (b) is incorrect.

Discussion:
37 comments Page 4 of 4.

Yuvatharani said:   5 years ago
According to logarithm formula,
log (xy) = log x + log y but,
log(x+y) is not equal to log x+ log y.
So I think option B and D both are wrong.
(7)

Crisna said:   5 years ago
Well said, Thanks @Yuvatharani.
(1)

Riyen said:   4 years ago
We know that a(b+c)=a.b+a.c by distributive property we apply same with log also
log(a+b)=loga + logb is correct.

So, D is also correct.
(2)

Jamshaid said:   3 years ago
I think option D is the right option.
(3)

Sweta said:   3 years ago
Yeah, option B is absolutely incorrect.
(4)

Komali said:   1 year ago
I think B is also correct.
log (a +b) = loga + log b.
log a +log b = log ( a×b).
* log ( a +b )= log (a×b).
(3)

Sudeept said:   1 year ago
Both B & D are incorrect.
(6)


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