Answer:
2/3 = Two-thirds
Step-by-step explanation:
We want to find:
[tex]x = \log_{27}{9}[/tex]
Logarithm concepts:
[tex]log_{b}{a} = c[/tex] means that:
[tex]a = b^{c}[/tex]
So
[tex]x = \log_{27}{9}[/tex]
[tex]27^{x} = 9[/tex]
[tex]3^{3x} = 3^{2}[/tex]
Then
[tex]3x = 2[/tex]
[tex]x = \frac{2}{3}[/tex]
So the correct answer is:
2/3 = Two-thirds
