Question

Can some one help! I’m willing to pay or give extra points

Answer 1

x = 5 or x = -5

Explanation:

x^| x + 8 | = 64

write the number in exponential form with the base of 4.

4^|x + 8| = 4³

Since the base are same, set the exponents are equal.

| x + 8 | = 3

Use the absolutely value to rewrite the absolute value equation as two seperate equation.

x + 8 = 3

x + 8 = -3

Solve for x.

x + 8 = 3. x + 8 = -3

subtract 8 from both side

x + 8 - 8 = 3 - 8 x + 8 - 8 = -3 + 8

x = -5. x = 5

Answer 2

x = -5 x = -11

Explanation:

4 ^ |x+8| = 64

Rewriting 64 as 4^3

4 ^ |x+8| = 4^3

The bases are the same so the exponents are the same

|x+8| = 3

We have two equations, one positive and one negative, for the absolute value

x+8 = 3 and x+8 = -3

Subtract 8 from each side

x+8-8 =3-8 x+8-8 = -3-8

x = -5 x = -11