Question

Select the correct answer. What is the solution to this equation? 216 = 6 2 ⁢ x − 1 A. x = 1 B. x = 2.5 C. x = 3 D.

Answer 1

D. [If D is saying "x = 4"]

Explanation:

We can start solving the equation 216 = 62x - 1 by adding 1 to both sides to isolate the term with x:

216 + 1 = 62x

Simplifying the left side, we get:

217 = 62x

To solve for x, we can divide both sides by 62:

217/62 = x

Using a calculator, we can evaluate the quotient:

3.5 = x

Therefore, the solution to the equation 216 = 62x - 1 is x = 3.5.

Since none of the answer choices match this result exactly, we can round 3.5 to the nearest integer. Rounding 3.5 up to the nearest integer gives us x = 4.