Solve the Equation $\log _ { 5 } x = \log _ { 5 } \frac { 1 } { x } + 2$

question 58

Multiple Choice

Solve the equation. $\log _ { 5 } x = \log _ { 5 } \frac { 1 } { x } + 2$

• A) \(x = 5\)
• B) \(x = 13\)
• C) \(x = - 13\)
• D) \(x = - 2\)
• E) \(x = - 5\)
• F) \(x = 2\)

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Definitions:

Discounted Payback Method

A capital budgeting approach that calculates the time required to recoup the cost of an investment, considering the time value of money.

Internal Rate of Return (IRR)

The interest rate that results in a net present value of zero for all cash flows associated with a specific project.

Net Present Value (NPV)

A financial metric that calculates the difference between the present value of cash inflows and outflows over a period of time. It is used to assess the profitability of an investment.

Weighted Average Cost of Capital (WACC)

This metric calculates a firm's cost of capital, considering the proportionate costs of each component of the capital structure.