Solve the Problem $3 ^ { - x } = \frac { 1 } { 5 }$

question 75

Multiple Choice

Solve the problem.
-If $3 ^ { - x } = \frac { 1 } { 5 }$ , what does $9 ^ { x }$ equal?

• A) \(- 25\)
• B) 5
• C) 25
• D) \(\frac { 1 } { 25 }\)

---

Definitions:

Interest Rate

Interest Rate is the proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage of the loan outstanding.

Effective Annual Interest Rate

The real return on an investment after accounting for the effect of compounding interest over a period.

Inventory Period

The average time it takes for inventory to be sold and replaced over a period, indicating the efficiency of a company's inventory management.

Credit Sales

Sales in which the customer is allowed to pay at a later time, typically generating accounts receivable on the balance sheet.