Logarithmic Functions 2

Logarithmic Functions 2

A2.A.SSE.B.2

A2.F.LE.A.2

Multiple Choice

In the formula below: What does P mean $$A\ =\ P\left(1\pm\frac{r}{100}\right)^t$$  

• Rate

• Starting Amount

• Interest as a decimal

• Final Amount

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Multiple Choice

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Multiple Choice

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

Multiple Choice

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Multiple Choice

log ₂ 16

• 3

• 2

• 4

• 5

Multiple Choice

Solve for x:

log₄ x = 3

• 4

• 12

• 32

• 64

Multiple Choice

Evaluate log₅25

• 2

• 5

• 125

Multiple Choice

The common logarithm has what base?

• 10

• 0

• e

• -e

Multiple Choice

log₈8

• 8

• -8

• 1

• 0

Multiple Choice

8^log₈^x

• 0

• 1

• x

• 8

Multiple Select

Each generation of a certain insect population is 1.5 times the population of the previous generation. There are 50 insects in the first generation. What is the equation to finding the insect population in the 8th generation? What is the value of the insect population in the 8th generation?

• 27,421

• 1,281

• 76,294

• $$A\left(x\right)=50\left(1.5\right)^x$$

• $$A\left(x\right)=50\ \left(1+1.5\right)^x$$