Question

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

Answer 1

LHS = 7 log(10/9) - 2log(25/24) + 3 log( 81/80). = 7log{(2*5 )/3²} - 2log{5²/ (2^3 *3)} + 3log{(3^4/(2^4 *5)}.