Mathematics
Assertion (A): log (2 + 3 + 4) = log 2 + log 3 + log 4
Reason (R): log x x = 0
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Logarithms
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Answer
Given,
log (2 + 3 + 4) = log 2 + log 3 + log 4
Simplifying L.H.S,
⇒ log (2 + 3 + 4) = log (9)
Simplifying R.H.S,
⇒ log 2 + log 3 + log 4 = log (2 × 3 × 4) = log (24)
Since, L.H.S ≠ R.H.S
So, Assertion (A) is false.
⇒ logx x = 1 and not zero.
So, Reason (R) is false.
Both A and R are false.
Hence, option 4 is the correct option.
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Assertion (A): If , then the value of x is 2.
Reason (R): If nx = m, then logn m = x.
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