Q.

A real root of the equation log4{log2(x+8-x)}=0 is

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

log4{log2(x+8-x)}=0 ⇒40=log2(x+8-x)⇒21=x+8-x ⇒4=x+8+x-2x2+8x ⇒2x2+8x=2x+4⇒x2+8x=x2+4+4x ⇒4x=4⇒x=1
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