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- Logarithms
- Change Of Base Formula
- Solving Logarithmic Equations Across Different Bases
Solving Logarithmic Equations Across Different Bases
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the change of base formula for logarithms?
log_a(b) = log_a(b) * log_b(a)
log_a(b) = log_b(a) * log_a(c)
log_a(b) = log_b(a) / log_b(c)
log_a(b) = log_c(b) / log_c(a)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of converting log base 9 of 27 to a different base using the change of base formula?
3/2
27/9
2/3
9/27
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you evaluate log base 9 of 27 using the change of base formula?
log_9(27) * log_27(9)
log_27(9) / log_27(3)
log_27(9) / log_9(3)
log_3(27) / log_3(9)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve for x when given log base 3 of x - 2 equals log base 27 of 4x + 7?
Using the change of base formula
By using synthetic division
By converting to exponential form
By factoring the equation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property allows you to move a constant in front of a log to the exponent position?
Property of bases
Property of equality
Property of logarithms
Property of exponents
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What base is used to simplify the equation log base 8 of 16 plus log base 2 of x equals 10 over 3?
Base 16
Base 8
Base 2
Base 10
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct way to simplify log base 8 of 16 using base 2?
log_2(16) / log_2(8)
log_8(2) / log_16(8)
log_16(8) / log_2(16)
log_8(16) * log_16(8)
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