Exponential/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 for x:
3^2x = 27^{x - 4}

• x = 12

• x = 4

• x = -4

• x = 1

Solve for x:
2^{3x + 1} = 32

• 0

• -1

• 5/3

• 4/3

Solve for x:
4^2x + 1 = 17

• x = 1

• x = -1

• x = 2

• x = -2

2^-m= 2^3m-3

• 4/3

• 3/4

• 2

• 1

Rewrite:

log₁₂144 = 2

• 2² = 4

• 12² = 144

• 144² = 12

• 12² = 12

Rewrite:

log₁₁1 = 0

• 0⁰ = 1

• 11¹ = 0

• 11⁰ = 1

• 1⁰ = 11

Rewrite:

log₄(1/64) = -3

• -3⁴ = 1/64

• 3⁴ = -1/64

• 4^-3 = 1/64

• 3^-4 = 1/64