Natural Logarithms

Natural Logarithms

Multiple Select

Consider the function f(x) = 3x – 2 and the function g(x), which is represented by the table . Which of the following statements about f(x) and g(x) are true? Select three that apply.

• A. The slope of f(x) is smaller than the slope of g(x)

• B.The y-intercept of f(x) is smaller than the y-intercept of g(x).

• C.The values of f(x) and g(x) are the same at x = 3.

• D.The lines represented by f(x) and g(x) are parallel.

• D.The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).

Open Ended

1.What is the objective of the lesson today?

2.How can we use this lesson in the the real world?

3.How are you going to be assessed on what you learn today?

Multiple Choice

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)

Multiple Choice

Rewrite in exponential form:
ln(2) = x

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

Fill in the Blanks

Solve. Round your answer to the nearest thousandth.
 $e^{\left(x+1\right)}=30$  

Fill in the Blanks

Solve. Round your answer to the nearest thousandth.
 $\ln\left(2x+3\right)=8$  

Multiple Choice

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Multiple Choice

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