3-log-x-2-log-x-2-log-x-4-gt-0-

Question Number 87773 by john santu last updated on 06/Apr/20

^{3} \log (^{x^{2}} \log (^{x^{2}} \log x^{4})) > 0

Commented by john santu last updated on 06/Apr/20

\Rightarrow^{x^{2}} \log (^{x^{2}} \log x^{4}) > 1

(i) x \neq 0

(ii)^{x^{2}} \log (^{x^{2}} \log x^{4}) >^{x^{2}} \log x^{2}

\Rightarrow (x^{2} - 1) (x^{4} - x^{2}) > 0

{(x + 1)}^{2} {(x - 1)}^{2} x^{2} > 0

x \neq - 1, x \neq 1

(iii) 1 < x^{2} < 2 {\begin{cases} - \sqrt{2} < x < - 1 \\ 1 < x < \sqrt{2} \end{cases}

Commented by mahdi last updated on 06/Apr/20

what meaning (x^{2}) in \overset{x^{2}}{} \log ?

Commented by john santu last updated on 06/Apr/20

it same to \log_{x^{2}} (x^{4})

Commented by mahdi last updated on 06/Apr/20

thanks

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