We have to expand: ln(3e^(2x)).
Here we make use of the relations log a^n = n* log a and log ab = log a + log b
ln(3e^(2x))
=> ln 3 + ln e^2x
=> ln 3 + 2x*ln e
ln e = 1
=> ln 3 + 2x
The required expansion is ln 3 + 2x
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