Final answer:
To simplify the expression ln(4^2) + ln(3^3), use logarithm properties to combine the logarithms. The simplified expression is 2 * ln(4) + 3 * ln(3).
Step-by-step explanation:
To simplify the expression ln(4^2) + ln(3^3), we can use the logarithm property that states log(a) + log(b) = log(a * b). Applying this property, we have:
ln(4^2) + ln(3^3) = ln(16) + ln(27)
Next, we can use the logarithm property that states log(a^b) = b * log(a). Applying this property, we have:
ln(16) + ln(27) = 2 * ln(4) + 3 * ln(3)
Therefore, the simplified expression is 2 * ln(4) + 3 * ln(3).