Exponential and Log Review

You stumble upon an account that gives you a whopping 7% annual interest.  How long will it take you to double your initial deposit of $225 if you do not withdraw or deposit any money?

• about 7.35 years
• about 8.17 years
• about 9.24 years
• about 10.24 years

The population in St. Louis Park in 2000 was 33,685 people.  If the growth rate since then is 3.3% per year and continues at this rate, what year will the population reach 40,000?

• 2.29 years
• 3.29 years
• 4.29 years
• 5.29 years

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Find the inverse of y=5^x-8

• y=log₅(x-8)
• y=log₅(x+8)
• y=log₈(x-5)
• y=log₈(x+5)

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Find the inverse of the equation

• 2^(x-9)+5=y
• 2^(x+9)-5=y
• 5^(x-9)-5=y

Solve log₅(4x-7)=log₅(x+5).

• x=4
• x=-4
• x=3
• x=-2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve:  2^3x = 15

• 2.3
• -2.3
• 1.3
• -1.3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2