Math, asked by kunal6981, 1 year ago

logbase2x+logbase4x+logbase16x=21/4

Answers

Answered by pAraDoX619
1
this might help and leave a thanks
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Answered by jawahaarabc143
2

logbase2(x)+logbase2^2(x)+logbase2^4(x)=21/4

= log base 2(x)+1/2( log base2(x))+ 1/4 (log base 2(x))=21/4

=if you take log base 2 (x) common youget= 1+1/2+1/4(log base 2(x)

=7/4 log base 2(x)=21/4 = here 7 cancels 21 by 3 and 4 , 4 get cancelled you are remained with

log base2(x)=3 (you know how to change a log to exponential)

so, x=2 raised to 3

=>x=8

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