
Logarithmic Equations and Exponents

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the given logarithmic equation?
Using a calculator
Performing a substitution
Directly solving for x
Converting to a quadratic equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the variable 'U' represent in the substitution?
The interlog expression log base 5 of x
The solution to the equation
The exponent in the equation
The base of the logarithm
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the equation log base 5 of U = -1 rewritten?
U = -5^1
U = 1/5
U = 5^-1
U = 5^1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After solving for U, what is the next step?
Finding the decimal approximation
Graphing the equation
Substituting back to solve for x
Checking the solution
Tags
CCSS.HSF.BF.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exponential form of the equation 1/5 = log base 5 of x?
x = 5^-1
x = 5^1/5
x = 5^5
x = 5^1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between x to the 1/5th power and the 5th root of 5?
They are inverses
They are equal
They are unrelated
They are reciprocals
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the decimal approximation of 5 to the 1/5th power?
1.6789
1.5678
1.3797
1.2345
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding a decimal approximation in this context?
To check the accuracy of the solution
To simplify the equation
To verify the base of the logarithm
To convert the solution to a fraction
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct expression for x in terms of a root?
x is the 10th root of 5
x is the 5th root of 5
x is the cube root of 5
x is the square root of 5
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