Question

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

Answer 1

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• $log_{b}$ x = $\frac{log_{c}x }{log_{c}b }$

where c represents the new base

Changing the base from 2 to 10

$log_{2}$ 11 = $\frac{log_{10}11 }{log_{10}2 }$ ≈ 3.4594