Question

Which of the following correctly solves for x in the equation x103=27⋅x13
?(1 point)

9

27113

13

3

Answer 1

Divide by x^13 (for x ≠ 0): x^90 = 27 = 3^3. So
x = 27^{1/90} = 3^{1/30}.
Also x = −27^{1/90} is a real solution (even root) and x = 0 satisfies the original equation.
None of the four given choices is correct.