Alg9.4.16

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Find the value of x if $\log_2(\log_3(\log_4(x))=1\,$

Aplying the basic principle of logarithm and eliminating the logs step by step,we get

$\log_3(\log_4(x))=2^1\,$

$\log_3(\log_4(x))=2\,$

$\log_4(x)=3^2\,$

$\log_4(x)=9\,$

$x=4^9\,$

Main Page:Algebra:Logarithmic

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