Question

Express in terms of log 2 and log 3 : log 4.5

Answer 1

log 4.5

= log`45/10`

= log`[ 5 xx 3 xx 3 ]/[ 5 xx 2 ]`

 = log`[ 3^2]/[2 ]`

= log 3² - log 2   .....[ log_a`m/n` = log_am - log_an ]

= 2log3 - log 2   ......[ log_amⁿ = nlog_am ]