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Solving Exponential Equations

Solving Exponential Equations

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF.BF.B.5, HSA-REI.B.4B, HSF.LE.A.4

+1

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
,
CCSS.HSA-REI.B.4B
,
CCSS.HSF.LE.A.4
CCSS.8.EE.C.8B
,
The video tutorial explains how to solve the exponential equation 6^x = 10 using logarithms. It covers isolating the exponential part, converting the equation to logarithmic form, and finding a decimal approximation using the change of base formula. The solution is verified through substitution and graphical methods, ensuring accuracy. The tutorial provides step-by-step instructions and multiple methods for entering equations and checking solutions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the exponential equation 6^x = 10?

Use the quadratic formula

Find a common base

Isolate the exponential part

Directly convert to a logarithm

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which key combination is used to enter the exponent in the equation 6^x = 10 using a keyboard?

Shift + 5

Alt + 5

Shift + 6

Ctrl + 6

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 6^x = 10, what is the base when converting to logarithmic form?

x

10

None of the above

6

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the logarithmic form of the equation 6^x = 10?

x = log_x(6)

x = log_6(10)

x = log_10(6)

x = log_6(x)

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find a decimal approximation of the solution?

Pythagorean theorem

Quadratic formula

Change of base formula

Binomial theorem

Tags

CCSS.HSF.LE.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal approximation of x to three decimal places for the equation 6^x = 10?

1.300

1.250

1.295

1.285

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify the solution by substitution?

Check if 6^1.285 is greater than 10

Check if 6^1.285 is less than 10

Check if 6^1.285 is approximately 10

Check if 6^1.285 is exactly 10

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