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Understanding Logarithms and Exponential Equations

Understanding Logarithms and Exponential Equations

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5, 8.EE.C.8B, HSA.REI.C.6

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
,
CCSS.8.EE.C.8B
,
CCSS.HSA.REI.C.6
The video tutorial explains how to solve a system of equations to find the value of x, which is expressed as log base a of B. It begins by adding the equations to solve for 'a' and then subtracting them to solve for 'b'. With values for 'a' and 'b', the tutorial converts the logarithmic expression into an exponential equation. Finally, it demonstrates that x equals 2 by equating the exponents, as the bases are the same.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when you add the two equations together in the given system?

2b = 8

b = 4

a = 2

2a = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After subtracting the two equations, what is the value of 'b'?

b = 2

b = 6

b = 8

b = 4

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent exponential equation for log base 2 of 4?

2^x = 4

2^x = 2

2^x = 8

2^x = 16

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'x' when solving the equation 2^x = 4?

x = 3

x = 2

x = 1

x = 4

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following statements is true about logarithms?

A logarithm is a root.

A logarithm is a type of fraction.

A logarithm is a coefficient.

A logarithm is an exponent.

Tags

CCSS.HSF.BF.B.5

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