Basics of Logarithms

log1000

• 1

• 2

• 3

• 4

log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Simplify the expression log₄(16)

• 4

• 2

• 12

• 16

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

The common logarithm has what base?

• 10

• 0

• e

• -e

The natural logarithm has what base?

• 10

• 0

• e

• -e

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite in exponential form:
ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x