Domain Logarithms

What is the Range?

• y > 0

• All Real Numbers

• y > 1

• y < 1

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

ln e⁵= 

• e⁵

• ln 5

• 5

• 5e

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Logarithms and Exponentials are what?

• parallel

• perpendiular 

• inverses

• congurent

What kind of asymptotes do logs have?

• horizontal ( y=0)

• vertical (x=0)

find the asymptote: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Which graph matches the logarithmic equation

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