Question

Show that log 1000=3 log 2+3 log 5

Answer 1

Answer:

RHS = 3 log 2 + 3 log 5

=> log 2³ + log 5³ [n log m = log mⁿ ]

=> log 8 + log 125

=> log [ 8 × 125 ] [ log m + log n = log (m×n) ]

=> log 1000 = LHS Proved