Question

Given log 2 = a, log 3 = b, express in terms of a and b.

log 6

Answer 1

We are given:

• log 2 = a
• log 3 = b

We need to express:

log 6

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 + log 3

Now substitute the values:

log 6 = a + b