Solving Power Functions

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶

• 6³

• 6²

• 3¹²

Solve for x.

16^2x = 256^2x+5

• 5

• -5

• 2

• 16

What is the range of f(x) = -3x^-7?

• y>0

• y<0

• (negative infinity, positive infinity)

• (-infinity, 0) U (0, +infinity)

What is the range of f(x) = 4x^-2?

• (-infinity, +infinity)

• (0, +infinity)

• (-infinity, 0)

• (-infinity, 0) U (0, +infinity)

• Cubic

• Reciprocal Squared

• Cube Root

• Absolute Value

Rewrite 64 as a power of 2:

Solve 3³ = (3²)^{2x + 1}

• x = ¼

• x = -¼

• x = ½

• x = -½

The graph most accurately represents which of the following functions?

• y=∛x

• y = x²

• y =x³

• y = 1 ∕ x