Question

If log₁₀2 = a and log₁₀3 = b; express each of the following in terms of 'a' and 'b' : log 60

Answer 1

log 60 
= log₁₀10 x 2 x 3           ...[ log_amn = log_am + log_an ]
= 1 + log₁₀2 + log₁₀3  ...[ ∵ log1010 = 1 ] 
= 1 + a + b                   ...[ ∵ log₁₀2 = a and log₁₀3 = b ]