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Solve the equation for x : log to the base a ( 1 + log to the base b ( 1 + log to the base c ( 1 + log to the base d (x)))) = 0

Solve the equation for x : 
log to the base a ( 1 + log to the base b ( 1 + log to the base c ( 1 + log to the base d (x)))) = 0

Grade:11

2 Answers

Ram Janam
29 Points
5 years ago
take antilog on both sides,which gives... 1 + log to the base b ( 1 + log to the base c ( 1 + log to the base d (x)))= a0.
 log to the base b ( 1 + log to the base c ( 1 + log to the base d (x))) = 0....take antilog again.
  1 + log to the base c ( 1 + log to the base d (x)) = b0.
log to the base c ( 1 + log to the base d (x)) = 0....take antilog again.
1 + log to the base d (x) = c0.
 log to the base d (x) = 0....take antilog again.
x=d0.
x=1....ANS.
REMEMBER...logax=0...on taking antilog it converts to.
x=a0....which gives 
x=1
 
Ram Janam
29 Points
5 years ago
loga(1+logb(1+logc(1+logd (x)=0
take antilog on both sides..
1+logb(1+logc(1+logd (x)=a0
logb(1+logc(1+logd (x)=0
take antilog on both sides
1+logc(1+logd (x)=b0
logc(1+logd (x)=0.
take antilog on both sides
1+logd (x)=c0
logd (x)=0
take antilog 
x=d0
x=1..ANS
[REMEMBER.........loga b=0...on taking antilog
b=a to the power of 0
b=1]
 

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