mcba1234
Answered

Which of the following ranges of integers contains the value of the following expression

\(log _{9} (9 ^{7/3} )\)

Verified Answer :

RhondaSommer

\(\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0\)
\(=\frac{7}{3}\log _9\left(9\right)\)
\(\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\)
\(=\frac{7}{3}\)

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