If a - b - c are three consecutive integers- then log 1- ac isA- log abcB- 2 log a C- 2 log bD- log b

The correct option is C 2 log b Let a = n, b = n + 1, c = n + 2 log (1 + ac) = log [ 1 + n(n + 2) ] log (1 + ac) = log (n + 1)^2 log (1 + ac) = 2 log (n + 1) ...

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Standard IX

Mathematics

Standard Logarithm

If a , b , c ...

Question

If $a, b, c$ are three consecutive integers, then $l o g (1 + a c)$ is ________ .

2 log a

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2 log b

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log b

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log abc

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Solution

The correct option is B
2 log b

Let a = n, b = n + 1, c = n + 2

log (1 + ac) = log [ 1 + n(n + 2) ]

log (1 + ac) = log (n + 1) $^{2}$

log (1 + ac) = 2 log (n + 1)

log (1 + ac) = 2 log b

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If a,b,c are three consecutive integers, then log (1+ac) is ________ .

The correct option is B 2 log b Let a = n, b = n + 1, c = n + 2 log (1 + ac) = log [ 1 + n(n + 2) ] log (1 + ac) = log (n + 1)2 log (1 + ac) =​ 2 log (n + 1) log (1 + ac) =​ 2 log b

If $a, b, c$ are three consecutive integers, then $l o g (1 + a c)$ is ________ .

The correct option is B
2 log b

Let a = n, b = n + 1, c = n + 2

log (1 + ac) = log [ 1 + n(n + 2) ]

log (1 + ac) = log (n + 1) $^{2}$

log (1 + ac) = 2 log (n + 1)

log (1 + ac) = 2 log b