Log to Exp

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Expand.

• A

• B

• C

• D

Expand

• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

log₃ 81 = 4

• 81³ = 4

• 81⁴ = 3

• 3⁴ = 81

• 4³ =81

Change to Exponential Form:
log₂₈₉ 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289¹⁷ = 1/2

• 1/2¹⁷ = 289

The common logarithm has what base?

• 10

• 0

• e

• -e