Question

Express in terms of log 2 and log 3:

log 144

Answer 1

log 144

= log( 2 × 2 × 2 × 2 × 3 × 3 )
= log( 2⁴ x 3² )
= log( 2⁴ ) + log( 3² )  ....[ log_amn = log_am + log_an]
= 4log2 + 2log3          ....[ log_amⁿ = nlog_am ]