Exponential and Logarithmic Functions

Given the function

 $g\left(x\right)=4^{x-2}+3$ , what is the horizontal asymptote? 

•  $y=-2$  

•  $y=2$  

•  $y=-3$  

•  $y=3$  

Which function models exponential decay?

• $f\left(x\right)=5\left(0.99\right)^x$

• $g\left(x\right)=\left(\frac{3}{2}\right)^x+2$

• $h\left(x\right)=1.01^x$

• $y=0.5\left(2\right)^x$

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

• $5,884.00

• $5,178.97

• $2,992.96

• $2,957.04

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

f(x)=log₅(x+4) - 2

Describe the asymptote

• Horizontal Asymptote x = -4

• Vertical Asymptote x = -4

• Horizontal Asymptote x = 4

• Vertical Asymptote x = 4

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)