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logx(625)-logx(25)=2

 Apr 28, 2022
 #1
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By the change of base theorem

 

log 625  / log x  - log 25 / log x  =  2

 

log 25^2 / log x  -  log 25 / log x =   log 100

 

 [ 2log 25  - log 25 ]  / log x  = log 100

 

log 25 / log x    = log 100

 

log x  =  log 25 / log 100

 

10^(log 25 / log 100)  = x

 

10^( [log 25 ] / 2) =  x

 

cool cool cool

 Apr 28, 2022

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