Question

( log 9 √3√3√3)log base 10 0.01​

Answer 1

Answer:

(7/8)^1

Step-by-step explanation:

This is the answer for the question.

Answer 2

Answer:

$\log _{9} \sqrt{3 \sqrt{3 \sqrt{3}}}=\frac{7}{16}$

Step-by-step explanation:

Given: $\log _{9} \sqrt{3 \sqrt{3 \sqrt{3}}}$

To find its value.

$\log _{9} \sqrt{3 \sqrt{3 \sqrt{3}}}=& \log _{9} \sqrt{3 \sqrt{3 \times 3^{1 / 2}}}$

                      $=& \log \sqrt{3 \sqrt{3^{3 / 2}}} \\=& \log _{3^{2}} \sqrt{3 \times 3^{3 / 4}}$

                      $=& \log _{3}^{2} 3^{7 / 5} \\=& \frac{1}{2} \times \frac{7}{8} 10933$

                      $=& \frac{7}{16} \times 1$

                      $=\frac{7}{16}$

#SPJ3

Disclaimer: The correct question is:

Find the value of $\log _{9} \sqrt{3 \sqrt{3 \sqrt{3}}}$.