Algebra 2 G11H Chapter 6 Lessons 6-7

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Solve the following equation for x.  Round your solution to two decimal places.
ln3x + ln2x = 3

• x = 12.91
• x = 4.02
• x = 3.35
• x = 1.83

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Which of the following is the value of x given;
e^(x+6) = 12

• x = ln 6
• x = -6 + ln12
• x = ln72
• x = ln(-2)

ln e⁵= 

• e⁵
• ln 5
• 5
• 5e

Solve for x:

ln(x)=2

• 2.234

• 3.14

• 7.389

• 2

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

 $\log\ \left(9-x\right)=\log\ \left(2x-6\right)$  

• 5

• -11

•  $\frac{18}{19}$  

• -4