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

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

Prove that 7 log(10/9)+3 log (81/80)=2 log (25/24)+log 2

Prove that (i) log_(2)log_(2)log_(2)16=1

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

Prove that log2+16log (16/15)+12log(25/24)+7log(81/80)=1

Prove that log_2 log_(sqrt2) log_3^9=1

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)