Question

Given log 2 = a, log 3 = b, express the following in terms of a or b or both.

log 1.5

Answer 1

We are given:

• log 2 = a
• log 3 = b

We need to express:

log 1.5

Step 1: Write 1.5 as a fraction

`1.5 = 3/2`

So:

`log 1.5 = log (3/2) = log 3 - log 2`

Step 2: Substitute values

log 3 – log 2 = b – a

log 1.5 = b – a