Period 1: Extra Credit 02/04

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

• 203

• 200

• 240

• 243

log ₂₅ 5 = 1/2

• 25⁵ = 1/2

• 25^1/2 = 5

• 5²⁵ = 1/2

• 5^1/2 = 25

log _k 13 = 7

• 7^k = 13

• 13^k = 7

• k⁷ = 13

• 7¹³ = k

log ₉ 27 = 3/2

• 9²⁷ = 3/2

• 27⁹ = 3/2

• 9 = 27^3/2

• 27 = 9^3/2

log ₁₂ 99 = t

• t = 99¹²

• 12 = t⁹⁹

• 99 = 12^t

• t = 12⁹⁹

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log₁₀ 10000 = 4

• log₄ 10000 = 10

The common logarithm has what base?

• 10

• 0

• e

• -e

Write log₆ 216 = 3 in exponential form.

• 3⁶=216

• 6³=216

• 216⁶=3

• 3²¹⁶=6

Evaluate log_b(b)

• -1

• 0

• 1

• b