Exponential and Logarithmic Equations Review

Random Trivia

100

The name of the previous Jeopardy host who recently passed away.

Who is Alex Trebek?

200

The famous mathematician has e named after him

Who is Euler?

300

The temporary host filling in on Jeopardy

Who is Ken Jennings?

400

We do SEL lessons each week.  What does SEL stand for?

What is Social and Emotional Learning?

500

The team name for the University of Michigan (Mrs. Hanlon's alma mater)

What are the wolverines?

Solving Simple Equations

100

Solve for x. 4^x = 16

x = 2

200

Solve for x round to 4 decimal places. ln x = 5

148.4132 or (e⁵⁾

300

Solve for x. (1/4)^x = 64

x = -3

400

Solve for x. e^x = 2

x = ln 2 (approximately 0.639)

500

Solve for x using inverse property. Log₅ x = 1/2

5^(1/2) = x, approximately 2.236

Exponential Equations

100

Solve. 2^x =4^(x+1)

What is -2?

200

Solve. 4^-3x=4²

What is x=-2/3

300

Solve for x. 2^x+2=16

x = 2

400

Solve for x. 4^-3x=64^3-x

No Solution

500

Solve for x. 36^3x+2=6³

x = -1/6

Base e and Natural Log

100

Write an equivalent exponential or logarithmic equation. ln 50 = x

e^x = 50

200

Solve, round four decimal spaces. e^3x = 8

x = .6931

300

Solve, round four decimal spaces. ln (x+2) = 3

x = 18.0855

400

Write an equivalent exponential or logarithmic equation. ln 6 = 1.7918 

e^{1.7918 = 6}

500

Solve, round four decimal spaces. e^-4x = 5

x = -.4024

Logarithmic Equations

100

Log₃ 9

2

200

Log ₆₂₅25

1/2

300

rewrite as an exponential log_y x=-8

x=y^-8

400

log₆ (1/216)

-3

500

12^log₁₂ 50

50