Solve the System by Using Any Method $$\begin{array} { l } 2 ^ { x } + 2 ^ { y } = 18 \\4 ^ { x } - 2 ^ { y } = - 12\end{array}$$

question 156

Multiple Choice

Solve the system by using any method.
- $$\begin{array} { l } 2 ^ { x } + 2 ^ { y } = 18 \\4 ^ { x } - 2 ^ { y } = - 12\end{array}$$

• A) \(\{ ( 1,4 ) \}\)
• B) \(\{ ( 4,1 ) \}\)
• C) \(\left\{ \left( 0 , \log _ { 2 } 18 \right) \right\}\)
• D) \(\left\{ \left( \log _ { 2 } 18,0 \right) \right\}\)

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Definitions:

Economies of Scope

Cost advantages that enterprises obtain due to efficient resource utilization in producing a variety of products rather than specializing in a single product.

Learning by Doing

The process of gaining skill or knowledge from direct experience or practice.

Economies of Scale

The cost advantages that enterprises obtain due to their scale of operation, which often leads to a reduced cost per unit of output.

Diseconomies of Scope

A situation in which a single firm producing multiple products has higher costs than if each product were produced by a separate firm.