Simplify `: log\ 75/16 - 2 log\ 5/9 + log\ 32/243`

Express in terms of log 2 and log 3 : (i) log 36 (ii) log 144 (iii) log 4.5 (iv) "log"(26)/(51) - "log" (91)/(119) (v) "log"(75)/(16) - "2 log" (5)/(9) + "log" (32)/(243)

Prove log""75/16-2log""5/9+log""32/243=log2.

Simplify : (ii) 23 log 16/15 + 17log 25/24 + 10log 81/80

Prove that log(75/16)-2log(5/9)+log(32/243)=log2

Simplify: log((3)/(8)) + log ((45)/(8)) - log ((15)/(16)) .

Simplify : 2 log ""( 15)/(8) - log ""( 25)/( 162) +3 log ""( 4)/(9)

Simplify: 2^((log)_3 5)-5^((log)_3 2)