Question

Seven increased by nine raised to a power is five decreased by the same. Write an exponential equation to represent this verbal description.

a. 7 + 9ˣ = 5 - x
b. 7 - 9ˣ = 5 + x
c. 7 * 9ˣ = 5 - x
d. 7 + 9ˣ = 5 + x

Answer 1

The correct exponential equation to represent the given verbal description is 7 + 9ˣ = 5 - x.

Step-by-step explanation:

The correct exponential equation to represent the given verbal description is:

7 + 9ˣ = 5 - x

To explain this, let's break down the verbal description. The verbal description states that 'Seven increased by nine raised to a power is five decreased by the same.' In an exponential equation, the base is raised to a power. Here, the base is 9 and the power is x. So, we have 9ˣ. The other part of the verbal description mentions 'is five decreased by the same,' which can be represented as 5 - x. Therefore, the exponential equation is 7 + 9ˣ = 5 - x.