Alg9.4.18

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Find the value of x if $\log_e(\log_e(log_e(x)))=0\,$

Applying the basic principle of the logarithms $\log_e(\log_e(x))=e^0\,$

$\log_e(\log_e(x))=1\,$

Again simplifying

$\log_e(x)=e\,$

Final value is

$x=e^e\,$

Main Page:Algebra:Logarithmic

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