Which logarithmic equation is equivalent to 2^5=32?

Step-by-step explanation:

1. By definition, you have if , then

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

Where:

- Substitute values into . Then, you obtain:

5 = log₂ 32

Step-by-step explanation:

When a logarithmic equation is written as b = logₐ c

That means its exponential form is aᵇ = c

In this question exponential expression is given as 2⁵ = 32

By comparing with exponential form given above we find a = 2, b = 5 and c = 32

Now we put these values in the logarithmic equation

5 = log₂ 32 will be the logarithmic equation.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%