Question

Express in terms of log 2 and log 3 : log 36

Answer 1

log 36 = log( 2 x 2 x 3 x 3 )
           = log( 2² x 3² )
           = log( 2² ) + log( 3² ) ....[ log_amn = log_am + log_an ]
           = 2log2 + 2log3         .....[ log_amⁿ = nlog_am ]