Logarithms Basics

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 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

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Solve for x
5^x = 17

• x = log₁₇5

• x = log 5 + log 17

• x = log₅17

• x = (log 5)/(log 17)

Simplify the expression
log(30)-log(6)

• -6log(30)

• log(24)

• log(-24)

• log(5)

Simplify the expression log₄(16)

• 4

• 2

• 12

• 16