Question

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

Answer 1

C 2/3

Explanation:

Answer 2

2/3 = Two-thirds

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 = (2)/(3)`

So the correct answer is:

2/3 = Two-thirds