Question

solve x power 2/3 - x power 1/3 = 2.

Answer 1

solution

x∧2/3 - x∧1/2=2

by taking the log of both side

⇒ logx∧2/3 - logx∧1/2=log2

⇒ logx∧2/3÷logx∧1/2=log2

⇒logx∧2/3-1/2=log2

⇒logx∧(4-3)/6=log2

⇒logx∧1/6=log2

⇒x∧1/6=2

by dividing both side by log

⇒ x=2∧6

⇒x=64