Introducing 

Prezi AI.

Your new presentation assistant.

Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.

Loading…
Transcript

Logarithmic Word Problems

Detail 4

Example 2

The pH level of a substance is given by pH = -log [H+], where H+ is the substance's hydrogen ion concentration in moles per liter.

1. The hydrogen ion concentration of vinegar is 6.3 x 10 mole per liter. What is its pH level?

2. What is the hydrogen ion concentration level of a substance with a pH level of 7.0?

Demonstration of Learning

1. What is the hydrogen ion concentration of a substance with a pH of 9.4?

2. What is the pH level of a substance with a hydrogen ion concentration of 4.2 x 10 ?

-8

Practice

1. Answer the word problems posted around the room.

*worth 10 points each

*DOL is worth 30 points

2. Check your answers with a classmate.

3. Try the extra credit while you wait for the DOL.

Logarithmic Word Problems

x

Solve 5 = 125.

Solve log x = 4.

10

Detail 1

Example

An equation for loudness L, in decibels, is L = 10 log R, where R is the relative intensity of the sound.

Detail 2

10

SWBAT analyze logarithmic situations to solve problems.

Bell Ringer

An airplane's altitude in feet during its descent for landing can be found using the function f(x) = -300x + 30,000, where x represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane's descent will be modeled by the function g(x) = -300x + 30500. Which statement best describes this change?

A. The airplane starts its descent from an altitude 500 feet higher.

B. The airplane starts its descent from an altitude 500 feet faster.

C. The airplane descends 500 feet per horizontal mile faster.

D. The airplane descends 500 feet per horizontal mile slower.

Detail 3

Learn more about creating dynamic, engaging presentations with Prezi