Alg9.4.39

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Show that $\log_3(\log(x^3))-\log_3(\log x)=1\,$

Simplifying the lefthand side expression

$\log_3(\frac{\log x^3}{\log x})\,$

Further simplifying

$\log_3(\frac{3\log x}{\log x})\,$

$\log_3(3)\,$

$1\,$

Hence the left hand side solution is 1 which is equal to the right hand side

Main Page:Algebra:Logarithmic

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