2log3 5+log3 30+3log3 6

2 answers

2 log3 ( 5 ) + log3 ( 30 ) + 3 log3 ( 6 ) =

log3 ( 5 ^ 2 ) + log3 ( 30 ) + log3 ( 6 ^ 3 ) =

log3 ( 25 ) + log3 ( 30 ) + log3 ( 216 ) =

log3 ( 25 ∙ 30 ∙ 216 ) =

log3 ( 162 000 ) = 10.91863957643961125

This mean:

3 ^ 10.91863957643961125 = 162 000
Good