Question

Express log 2.25 in the terms of log 2 log3 log5

Answer 1

log 2.25

= log 225/100

= log 225 - log 100

= log 15^2 - log10^2

= 2 log 15 - 2 log 10

= 2 log 5×3 - 2 log 2×5

= log 5×3 - log 2×5

= log 5 + log 3 - log 2+log 5

= 2 log 5 + log 3 - log 2