Exponential Equations and Logarithms

Solve:

9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve:

7^-x = 49

• x = 1

• x = -1

• x = 2

• x = -2

Solve:

2^x = 4^x+1

• x = -2

• x = 2

• x = -3

• x = 3

Solve:

5^{-3x - 1} = 25

• x = -1

• x = -4

• x = -3

• x = 1

Solve:

3^2x = 27^{x - 4}

• x = 12

• x = 4

• x = -4

• x = 1

Solve for p:

4^p+2 = 64

• p = -16/9

• p = 1

• p = 8

• p = 7/6

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

Solve:

12^2x-10 = 1

• x = 1

• x = 10

• x = -5

• x = 5

Evaluate:

log ₃ 9 =

• 1/2

• 2

• 1/3

• 3