What is the answer to x^{13}=|2x-5| ?

The answer to x^{13}=|2x-5| is x=1.08340…

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x^{13}=|2x-5|

x^{13} = ∣ 2 x - 5 ∣

x = 1.08340 \dots

Solution steps

x^{13} = ∣ 2 x - 5 ∣

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x = 1.08340 \dots or No Solution

x = 1.08340 \dots

5 - 4 ∣ x - 4 ∣ = - 23

3 ∣ x - 5 ∣ = 12

∣ 3 x - 6 ∣ = 42

∣ x ∣ + 9 = 15

∣ 5 x - 8 ∣ - 15 = - 9