Question

To write ln24 in terms of ln2 and ln3?

Answer 1

To write ln24 in terms of ln2 and ln3, we can express ln24 as a combination of ln2 and ln3. By using logarithmic properties, we can rewrite ln24 as 3ln2 + ln3.

Step-by-step explanation:

To write ln24 in terms of ln2 and ln3, we can use logarithmic properties to express ln24 as a combination of ln2 and ln3.

Step 1: Rewrite 24 as a product of powers of 2 and 3. ln24 = ln(2^3 * 3) = ln(8 * 3).

Step 2: Use the property ln(ab) = ln(a) + ln(b) to separate the factors ln8 and ln3. ln24 = ln8 + ln3.

Step 3: Substitute ln8 as ln(2^3) = 3ln2. ln24 = 3ln2 + ln3.