Question

Evaluate log9 162 - log9 (2/3)

Answer 1

2 1/2

Answer 2

Using the logarithmic identity log a - log b = log (a/b), we can simplify the expression:

log9 162 - log9 (2/3) = log9 (162/(2/3))
= log9 (162 * 3/2)
= log9 243

We can also rewrite 243 as a power of 9: 243 = 9^2.5

Therefore, log9 243 = 2.5.

So,

log9 162 - log9 (2/3) = 2.5.

Answer 3

2 1/2 can be written as an improper fraction as follows:

2 1/2 = 5/2

Therefore, 2 1/2 is equal to 5/2.