Exponents and Logarithms

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

Tags

CCSS.HSF.BF.B.5

Change to logarithmic form.

3^h = w

• log_w3 = h

• log₃w = h

• log_h3 = w

• log₃h = w

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate.

log₂8

• 2

• 3

• 4

• 8

Evaluate.

log₃(1/9)

• 3

• -3

• 2

• -2

Solve for x.

4^2x = 8

• x = 3

• x = 4

• x = 3/4

• x = 4/3

Solve for x.

• x = 0

• x = 2

• x = 3

• x = 4

Solve for w.

6³ ⋅ 6^w = 36

• -3/2

• 2/3

• -1

• 5

Solve for x.

log₂4x = log₂(2x+5)

• 5/6

• 6/5

• 2/5

• 5/2

Solve for k.

log₃5 + log₃k = log₃10

• k = 1

• k = 2

• k = 3

• k = 4

Solve for x.

log₄x − log₄2 = log₄10

• 5

• -5

• 1/5

• 20