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If and 1 are in A.P, then x equals
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a
log25
b
1-log25
c
log52
d
None of these
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Correct option is B
The given numbers are in A.P. ∴2log4(21−x+1)=log2(5.2x+1)+1⇒2log22(22x+1)=log2(5.2x+1)+log22⇒22log2 (22x+1)=log2(5.2x+1)2⇒log2(22x+1)=log2(10.2x+2)⇒22x+1=10.2x+2⇒2y+1=10y+2,where2x=y∴10y2+y−2=0⇒(5y−2)(2y+1)=0⇒y=2/5⇒2x=2/5⇒x=log2(2/5)=log22−log25=1−log25Similar Questions
If and 1 are in A.P, then x is equal to
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