Solve the Equation $\log _ { 5 } x + \log _ { 5 } ( x + 6 ) = 1$

question 23

Multiple Choice

Solve the equation.
- $\log _ { 5 } x + \log _ { 5 } ( x + 6 ) = 1$

• A) \(- 1 + \sqrt { 14 }\)
• B) \(- 3 + \sqrt { 14 }\)
• C) \(3 + \sqrt { 14 }\)
• D) \(- 3 - \sqrt { 14 } , - 3 + \sqrt { 14 }\)

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Definitions:

IRR

Internal Rate of Return, a metric used to estimate the profitability of potential investments.

Initial Cost

The original cost of acquiring an asset before any depreciation, amortization, or similar adjustment.

Cash Inflows

The total amount of money received by a company or individual during a set period.

Payback Period

The duration of time it takes to recover the cost of an investment, calculated as the point where net cash flow equals the initial investment.