Question

What is the value of log Subscript 27 Baseline 9? Negative three-halves Negative two-thirds Two-thirds Three-halves

Answer 1

Answer:

2/3 = Two-thirds

Step-by-step explanation:

We want to find:

$x = \log_{27}{9}$

Logarithm concepts:

$log_{b}{a} = c$ means that:

$a = b^{c}$

So

$x = \log_{27}{9}$

$27^{x} = 9$

$3^{3x} = 3^{2}$

Then

$3x = 2$

$x = \frac{2}{3}$

So the correct answer is:

2/3 = Two-thirds