Solve the Equation $$3 ^ { x ^ { 2 } - 7 } = 9$$

question 278

Multiple Choice

Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
- $$3 ^ { x ^ { 2 } - 7 } = 9$$

• A) \(\{ 3 \}\)
• B){ }
• C) \(\{ 3 , - 3 \}\)
• D) \(\{ - 3 \}\)

---

Definitions:

Clay Minerals

A group of hydrous aluminium phyllosilicates, often containing iron, magnesium, or potassium, critical for soil structure and fertility.

Quartz

is a hard, crystalline mineral composed of silicon and oxygen atoms, one of the most abundant minerals in the Earth's crust.

Granite

Granite is a coarse-grained igneous rock comprised mainly of quartz, feldspar, and mica, known for its strength and widely used in construction and monuments.

Surface Area

The total area that the surface of an object occupies.