Question

Express the logarithms of the following into sum of the logarithms.

i) 35 × 46

ii) 235 × 437

iii) 2437 × 3568

Answer 1

i) log xy = log x + log y 

log₁₀ 35 × 46 = log₁₀ 35 + log₁₀ 46

ii) log₁₀ 235 × 437 = log₁₀ 235 + log₁₀ 437   [∵ log xy = log x + log y]

iii) log₁₀ 2437 × 3568 = log₁₀ 2437 + log₁₀ 3568   [∵ log xy = log x + log y]