Solve x13<45

To solve the inequality, x^13 < 45, isolate x by taking the 13th root of both sides:

x^13 < 45
Taking the 13th root of both sides:
(x^13)^(1/13) < 45^(1/13)
Simplifying:
x < 45^(1/13)

Therefore, the solution to the inequality x^13 < 45 is x < 45^(1/13), where 45^(1/13) is approximately 1.978.