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Question

Question: The rationalising factor of \(x = 1\) is....

The rationalising factor of x=1x = 1 is.

A

x=1x = - 1

B

2=6BB=132 = 6B \Rightarrow B = \frac{1}{3}

C

x=12x = \frac{1}{2}

D

None of these

Answer

2=6BB=132 = 6B \Rightarrow B = \frac{1}{3}

Explanation

Solution

2log(a+2b)=log16+loga+logb2\log(a + 2b) = \log 16 + \log a + \log b (a rational)

\thereforeRationalising factor = log(a+2b)=12[loga+logb+4log2]\log(a + 2b) = \frac{1}{2}\lbrack\log a + \log b + 4\log 2\rbrack.