Question

select the correct answer.

what is the solution to the equation?

(2(x - 4)^{\frac{3}{2}} = 54)

5

13

22

no solution

Explanation:

Isolate the exponential term

$$
LATEXBLOCK0
$$

Solve for x

$$
LATEXBLOCK1
$$

Verify the solution

$$
LATEXBLOCK2
$$

Answer:

• 5
• 13 (Correct answer)
• 22
• no solution