Question

Without using calculator, prove that:
(log30 - log6 + log5) / (log12 - log3 + log25) = 1 - log2

Answer 1

Answer:

(log30 - log6 + log5) / (log12 - log3 + log25) = 1 - log2

= (log6.5 - log6 + log5) / (log3.5 - log3 + log5.5)

= (log5 + log5) / (log3 - log3 + log5)

= (2log5 ) / (log5)

= 1 - log2