Question

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

Answer 1

log₁₀25 = x
⇒ log₁₀5² =x
⇒ 2log₁₀5 = x
⇒ log₁₀5 = `x/(2)`.