Question

Select the correct answer from the drop-down menu.
3
For a certain base, b, log;
logg 8 = 3
-1
, b
and log: 0.5
,
The value of log, 4

Answer 1

Using logarithm properties, it is found that the value of $\log_b{4b}$ is of 3.

What are logarithm properties?

Examples are:

• Logarithm of multiplication: $\log{MN} = \log{M} + \log{N}$.

• Same base, that is, $\log_b{b} = 1$.

In this problem, we want to find:

$\log_b{4b}$

Applying the multiplication property:

$\log_b{4b} = \log_b{4} + \log_b{b}$

4 is 8 multiplied by 0.5, hence:

$\log_b{4b} = \log_b{4} + \log_b{b} = \log_b{8(0.5)} + \log_b{b}$

Applying the multiplication property again:

$\log_b{4b} = \log_b{8} + \log_b{0.5} + \log_b{b}$

Applying the values and the same base property:

$\log_b{4b} = \log_b{8} + \log_b{0.5} + \log_b{b} = 3 - 1 + 1 = 3$

You can learn more about logarithm properties at https://brainly.com/question/2528611