Question

If log 2 = x and log 3 = y, express the following in terms of x and y.

log 14.4

Answer 1

Given: log 2 = x and log 3 = y

Step-wise calculation:

1. 14.4 = `144/10`

= `(2^4 xx 3^2)/10`

2. log 14.4 = log (144) – log (10) 

= log (2⁴ × 3²) – 1

= 4 × log 2 + 2 × log 3 – 1

3. Substitute log 2 = x and log 3 = y

⇒ 4x + 2y – 1