Exponentials Basic

log₂(8) = 3

• 2³= 8

• 2⁸ = 3

• 8² = 3

• 8³ = 3

Tags

CCSS.HSF.BF.B.5

Logs and Exponentials are:

• opposites

• reciprocals

• inverses

• conjugate pairs

Rewrite as a logarithm
3⁴ = 81

• log₄(3) = 81

• log₄(81) = 3

• log₃(4) = 81

• log₃(81) = 4

Tags

CCSS.HSF.BF.B.5

Solve the logarithm
log₄(16)

• 2

• -2

• 1/2

• -1/2

Tags

CCSS.HSF.BF.B.5

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Tags

CCSS.HSF.LE.A.2

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Tags

CCSS.HSF.BF.B.5

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Is this exponential growth or decay?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.7E

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2