Functions (Exponential and Logarithmic) Review

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

2 * 4^{3x – 6} – 8 = 120

• x = 3

• x = 4

• x = 2.9

• x = 8

2log (2x)⁴ = 16

• x = 4

• x = 10

• x = 50

• x = 2

log x - log 8 = 3

• x = 1000

• x = 800

• x = 8000

• x = 100

log₅ (2x - 3)² = 6

• x = 128

•  x = 64

• x = 4

• x = 14

A child asks her dad for an allowance that starts with a penny and then doubles every day for a month. Which function can be used to model the amount of money, A, the child will receive each day, x?

• A(x) = 2(0.01)^x

• A(x) = 0.01(2)^x

• A(x) = 0.01(1 - 2)^x

• A(x) = 2(1.01)^x

log_x1000=3

• 1

• 10

• 30

• 3

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Determine the equation of the asymptote?

• x=3

• x=4

• y=-4

• y=4

What is the End behavior on the right side

•  x→∞, y→∞

•  x→⁻∞, y→∞

•  x→⁻∞, y→0

•  x→∞, y→⁻∞