Question

E=2 log5 125 - 3 log7 49 +6 log1000 10000

Answer 1

E = 2 log5 (125) - 3 log7 (49) + 6 log1000 (10000)
   = 2 log5 ( 5³) - 3 log7 (7²) + 6 log1000( 1000*10 )
   = 2*3log5 5 - 3*2 log7 7 + 6 log1000 1000 + 6log1000 10
   = 2*3*1  - 3*2*1 + 6*1 + 6*1/3
   = 6 - 6 + 6 + 2 = 8