Exponential Growth and Logarithms

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

The natural logarithm has what base?

• 10

• 0

• e

• -e

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Solve for x.
3^x = 27

• 2

• 4

• 3

• 5

The school lawn is being overtaken by geese.  If there are 12 geese on Monday, and the number of geese increases by 30% every day, how many are there in 2 weeks?

• 12(0.30)¹⁴

• 12(0.30)²

• 12(1.30)¹⁴

• 12(1.30)²

log₄1 = 

• 0

• 1

• 4

• DNE

The common logarithm has what base?

• 10

• 0

• e

• -e

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)