Power Functions and Logs

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

What is the log form of a = e^y ?

• ln(a) = y
• ln(y) = a
• log(a) = y
• log(y) = a

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

The natural logarithm is represented as what?

• log
• ln

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

Tags

CCSS.HSF.BF.B.5

The natural logarithm has what base?

• 10
• 0
• e
• -e

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Solve log₄(x) + 2log₄5 = 5

• 1

• 0.2

• 40.96

• 102.4

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5