Use the Laws of Logarithms to Write the Expression as the Logarithm

question 38

Multiple Choice

Use the laws of logarithms to write the expression as the logarithm of a single quantity. $4 \ln 3 - \frac { 3 } { 4 } \ln ( x + 3 )$

• A) \(\ln \frac { 81 } { ( x + 3 ) ^ { 3 / 4 } }\)
• B) \(\frac { 3 \ln 81 } { 4 ( x + 3 ) }\)
• C) \(\ln 3 ^ { 4 } - \ln ( x + 3 ) ^ { 3 / 4 }\)
• D) \(\frac { 4 \ln 3 } { \frac { 3 } { 4 } \ln ( x + 3 ) }\)

---

Definitions:

Cost Of Capital

A measure of the return required by investors to compensate them for the risk of investing in a company.

Capital Components

The different sources of capital, including debt, equity, and any other forms of financing a company uses to fund its operations and growth.

Component Costs Of Capital

The individual costs of capital that a company incurs from each of its sources of funding, such as equity, debt, and preferred stock.

Effective Cost Of Capital

The actual cost of a company's funding after adjusting for various factors, including tax benefits, associated with different sources of capital.