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Question

Of the following:
(1) a(xy)=axay
(2) axy=axay
(3) log(xy)=logxlogy
(4) logx/logy=logxlogy
(5) a(xy)=axay.

A
Only 1 and 4 are true
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B
Only 1 and 5 are true
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C
Only 1 and 3 are true
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D
Only 1 and 2 are true
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E
Only 1 is true
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Solution

The correct option is E Only 1 is true
Of the four distributive laws given in statements (1),(2),(3) and (5) only (1) holds in the real number field. Statement (4) is not to be confused with log(x/y)=logxlogy.(c) is the correct choice.

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