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Number log27 is : (A) Integer (B) Rational

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in Logarithms by (46.3k points)

Number log27 is :

(A) Integer

(B) Rational

(C) Irrational

(D) Prime

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1 Answer

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Best answer

Answer is (C) Irrational

log2 7 = x

7 = 2x

Taking log on both sides,

log 7 = log 2x
⇒ x log 2 = log 7

⇒ x = log7/log2 

= (0.8451)/(0.3010)

= 2.8076

= irrational number

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