Chapter 11 Review:Intro to Exponential and Log Functions

Rewrite 3⁴ = 81 in logarithmic form.

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

The natural logarithm has what base?

• 10

• 0

• e

• -e

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1+0.03)^x
• f(x)=400(0.03)^x

Your 2 year investment of $5,300 earns 2.9% and is compounded annually.  What will your total return be?

• $5,304.46
• $5,611.86
• $5,613.28
• $8,819.73

Rewrite the following as a Logarithm:

e^x=8

• 2

• log(e)

• ln(e)

• ln(8)

• log_ex

Tags

CCSS.HSF.BF.B.5

Which of the following transformations would take f(x)= lnx to g(x)= −ln(x+5)

• reflection over the x-axis

• reflection over the y-axis

• translate right 5

• translate up 5

• translate left 5

Which of the following transformations would take f(x)= logx to g(x)= log(-x)+2

• reflection over the x-axis

• reflection over the y-axis

• translate right 2

• translate up 2

• translate down 2

Where would the asymptote be for f(x)= -2log(x+4) ?

• x= -2

• y= -4

• x= -4

• x= 4

• x=0