Math, asked by adityagoswami92, 1 year ago

if log2(log6 36)=logx 2 than x = ?

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Answered by UnknownDude
1
[0010001111]... Hello User... [1001010101]
Here's your answer...

 log_{2}( log_{6}(36) )  =  log_{x}(2)  \\    log_{2}( log_{6}( {6}^{2} ) )  =  log_{x}(2)  \\   log_{2}(2 log_{6}(6) )  =  log_{x}(2)  \\   log_{2}(2 \times 1)  =  log_{x}(2)
By comparison, x=2.

The laws used here are...
 log( {x}^{y} )  = y \:  log(x)
and...
 log_{x}(x)  = 1
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Answered by Sakethsakku1
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