6.4 Exponential Equations

Solve the equation for x.

• x = 2
• x = 3
• x = 8
• x = 64

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Solve 8 = 2^5x+7

• x = ⅘
• x = ¼
• x = -⅘
• x = -¼

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

Solve.

• 3.5

• 3

• 4

• 4.5

Solve.

• 2

• 4

• 8

• 16

Sovle for x:

5^{-3x - 1} = 25

• x = 1

• x = -4

• x = -3

• x = -1

2^2x+6=32

• x = -1/2

• x = 11

• x = 1/2

• x = -11

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2