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- Take the natural logarithm of both sides:
- \ln(3) = 5k \Rightarrow k = \frac{\ln(3)}{5}
- Now, we find the time $ t $ such that $ P(t) = 16200 $ starting
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Counting these values, we have: 3, 6, 9, 12 — a total of 4 values.
Therefore, there are \(\boxed{4}\) possible values for \( v \).
Question: Find the least common multiple of 8 and 12.
Solution: To find the least common multiple (LCM) of 8 and 12, we first determine their prime factorizations:
= 2^3, \quad 12 = 2^2 \cdot 3^1
The highest power of 2 is \( 2^3 \).
The highest power of 3 is \( 3^1 \).
\text{LCM} = 2^3 \cdot 3^1 = 8 \cdot 3 = 24
Therefore, the least common multiple is \(\boxed{24}\).
Question: What is the smallest prime factor of 77?