Question

(i) log 288 = 5 log 2 + 2 log 3

(ii) 3 log 2 + 2 log 3 – 1 = log 72

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (i)

Explanation:

(i) 288 = 2⁵ × 3² 

So log 288

= log (2⁵ × 3²) 

= 5 log 2 + 2 log 3

(ii) 3 log 2 + 2 log 3 – 1

= log (2³) + log (3²) – log 10 

= `log ((2^3 xx 3^2)/10)` 

= log 7.2, not log 72.

So (ii) is false.