Question

If log 2 = x, log 3 = y. Then log 6 = ______.

Options

• xy

• x + y

• `x/y`

• x^y

Answer 1

If log 2 = x, log 3 = y. Then log 6 = x + y.

Explanation:

Step 1: Express 6 as a product of 2 and 3

6 = 2 · 3

Step 2: Apply the logarithmic property

Using the logarithmic property log(ab) = log a + log b, we have:

log 6 = log(2 · 3) = log 2 + log 3

Now, substitute log 2 = x and log 3 = y:

log 6 = x + y