2log8+log36-log1.5-3log2

2log8 + log36  - log1.5 - 3 log2

1. log8  = log2³ = 3 log 2
2. log 36 = log (2²3²) = log(2² ) + log ( 3² ) = 2 log2 + 2 log3
3. log 1.5 = log ( 3/2) = log3 - log 2

=2log2³ + log (2² 3²) - log( 3/2) -3 log 2
=6 log2 + log(2²) + log(3²) - log(3) + log 2 - 3 log 2
=6 log 2 + 2 log 2 + 2 log 3 - log 3 + log 2 - 3 log 2
=6 log 2 + 2 log 2 + log 2 - 3 log 2  + 2 log 3 - log 3
=6 log 2 +  log 3