4ln 2 − 12 ln 25

The expression you provided is a logarithmic expression. To simplify it, we can use the properties of logarithms. Here are the steps:

1. Apply the power rule of logarithms, which states that log_b(a^n) = n*log_b(a). This gives us:

   4ln(2) - 12ln(25) = ln(2^4) - ln(25^12)

2. Simplify the powers:

   ln(16) - ln(25^12)

3. Apply the quotient rule of logarithms, which states that log_b(a) - log_b(c) = log_b(a/c). This gives us:

   ln(16/25^12)

4. Simplify the fraction inside the logarithm if possible.

So, the simplified form of the expression "4ln 2 − 12 ln 25" is "ln(16/25^12)".