Exponential and Logarithm Equations - Part II

Exponential and Logarithm Equations - Part II

Multiple Select

WARM UP

Quadratic function g(x) has the equation g(x) = –x2 + 4x – 3.

Which of the following statements are true regarding functions ƒ(x) and g(x)? Select all that apply

• The y–intercepts of functions ƒ(x) and g(x) are opposites

• Functions ƒ(x) and g(x) both have an x–intercept at (1, 0).

• Functions ƒ(x) and g(x) both have an x–intercept at (–3, 0).

• Function ƒ(x) has a larger maximum value than function g(x).

Open Ended

Answer the following questions in your own words.

1.What are you doing to learn today?

2.How does this relate to the real world?

3.How are you going to be assessed?

Multiple Choice

Solve the following equation for x.  Round your solution to two decimal places.
ln2x - ln41 = 2

• x = 0.36
• x = 151.48
• x = 41
• None of these are solutions

Multiple Choice

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Multiple Choice

Solve:
log₄x² - log₄(x-1) = 1

• 4
• 3
• 2
• 1

Multiple Choice

An Amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22
• 24.321
• 20.12
• 24

Multiple Choice

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23