Find Given that Logb2 0693 logb3 0845 and logb5 1609 find lo

Find Given that Logb2 0.693, logb3 0.845, and logb5 1.609, find logb15b

Solution

Logb2 0.693, logb3 0.845, and logb5 1.609, find logb15b

logb(15b) = logb(15) +logb(b) [ use the log property : loga*b =loga +logb ]

= logb(15) +1

= logb(3*5) +1 = logb(3) +logb(5) +1

= 0.845 +1.609 +1

= 3.454