Precalculus Logarithmic

Which represents exponential decay?

• A

• B

• C

• D

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

log₅25 = ?

• 2

• 5

• 125

• 10

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

• x = 2

• x = -2

• y = 2

• y = -2

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Write as a single logarithm:

log16 + log2 - log8

• log4

• log8

• log10

• log24