Logs Exponents

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Change to Exponential Form:
log₂₈₉ 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289¹⁷ = 1/2

• 1/2¹⁷ = 289

Identify the function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth

• decay

The common logarithm has what base?

• 10

• 0

• e

• -e

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Which have a domain of all real numbers?

• exponential

• logarithm

• both

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

log_xe=1

• 1

• e

• 0

• No solution

Solve for x:
e^x=7

• x=ln7

• x=ln⁷

• x=7^ln

• No solution

ln(x)=3

• e^x

• 3e

• 3^e

• e³