If ln11≈2.398 and ln5≈1.609 , what is ln55 ? Use the Product Rule of Logarithms to solve.(1 point)

Question

Responses

0.789
0.789

4.007
4.007

1.490
1.490

3.858

Answer 1

To solve for ln55 using the product rule of logarithms, we can rewrite ln55 as ln(11 * 5).

Using the property ln(a * b) = ln(a) + ln(b), we can rewrite ln(11 * 5) as ln11 + ln5.

Given that ln11 ≈ 2.398 and ln5 ≈ 1.609, we can substitute those values in and solve:

ln55 = ln11 + ln5
= 2.398 + 1.609
= 3.858

Therefore, ln55 is approximately 3.858.