Answer:
ln(2000) = 7.601
Step-by-step explanation:
For this we need to know the rules of logarithms, specifically the product rule and the power rule. The product rule is simply ln(a*b) = ln(a) + ln(b). The power rule is simply ln(a^b) = b ln(a).
With these rules, let's begin to simplify the expression:
4 ln(2) + 3 ln(5)
= ln(2^4) + ln(5^3)
= ln(16) + ln(125)
= ln(16 * 125)
= ln(2000)
= 7.601
Hope this helps. Cheers.
