How do you solve root4(2x)-13=-9?

1 Answer
Apr 25, 2017

x=128

Explanation:

root4(2x)-13=-9

Add 13 to both sides

root4(2x)cancel(-13)cancel(+13)=-9+13

root4(2x)=4

Now we are going to raise both sides of the equation to the power of 4 so we can get rid of that "root" 4

(root4(2x))^4=(4)^4

[Exponent cancels with root of equal power]

2x=256

Divide both sides by 2

(2x)/2=256/2

(cancel2x)/cancel2=256/2

x=128