Rewrite and simplify ln(4500) in terms of ln5 and ln6

      Simplified form of the given logarithmic expression ln(4500) will be         ln(4500) = 3ln(5) + 2ln(6)

Given logarithmic expression in the question is,

We have to convert this expression in terms of ln(5) and ln(6).

Since, Factored form of 4500 = 5×5×5×6×6

                                                  = 5³×6²

Therefore, ln(4500) = ln(5³×6²)

                                 = ln(5³) + ln(6²) [Since, ln(a × b) = ln(a) + ln(b)]

                                 = 3ln(5) + 2ln(6) [Since, ln(a³) = 3ln(a)]

   Hence, ln(4500) = 3ln(5) + 2ln(6) will be the answer.

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