Understanding Logs and Exponential Functions

Understanding Logs and Exponential Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7E, HSF.BF.B.5, HSF.LE.B.5

+1

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7E
,
CCSS.HSF.BF.B.5
,
CCSS.HSF.LE.B.5
CCSS.HSF.LE.A.2
,
The video tutorial covers the use of logarithms to solve equations with variables in the exponent. It explains how to rewrite equations in logarithmic form and solve for variables. The tutorial also discusses condensing logarithmic expressions and solving exponential equations. Additionally, it covers writing equations for exponential functions, including those with horizontal asymptotes.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when solving an equation with a variable in the exponent using logs?

Change the base of the equation

Add a constant to both sides

Rewrite the equation in exponential form

Use the quadratic formula

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate the variable in the equation x^3 = 125?

Multiply both sides by 3

Subtract 125 from both sides

Take the square root of both sides

Take the cube root of both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When condensing logs, what operation is used to combine log(a) - log(b)?

Division

Multiplication

Subtraction

Addition

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the logarithm if it is not explicitly stated?

10

5

2

e

Tags

CCSS.HSF.LE.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation y = a * b^x, what does 'a' represent?

The horizontal asymptote

The rate of growth

The base of the exponent

The initial value or coefficient

Tags

CCSS.HSF.LE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the value of 'b' in the equation y = a * b^x using two points?

Add the x-values of the points

Multiply the x-values of the points

Divide the y-values of the points

Subtract the y-values of the points

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the horizontal asymptote in an exponential function?

It is the point where the function crosses the x-axis

It shows the value the function approaches as x goes to infinity

It indicates the y-intercept

It represents the maximum value of the function

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