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(log base e 2)(log base x 625) = (log base 10 16)(log base e 10) then x=?

(log base e 2)(log base x 625) = (log base 10 16)(log base e 10) then x=?

Grade:9

2 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Ans, x = 2; (Hint: Bring log base e 2 to the RHS and convert (log base e 10)/ (log base e 2) into 1/ log base 10 2.)
noogler
489 Points
8 years ago
x=5
 
loge2 logx625=log1016  loge10
loge2 logx625=loge16                                           logab logca=logcb
loge2 logx625=loge24                                                         
loge2 logx625=4loge2                                           logax=x loga
        logx625=4
              625=x4                                                                 
                x=5
 
approve if usefull!!!!!!!!

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