
Solving Exponentials w/ Same Bases

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•
Mathematics
•
KG
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential equation?
Back
An equation in which a variable appears in the exponent.
2.
FLASHCARD QUESTION
Front
What does it mean to have the same base in exponential equations?
Back
It means that the bases of the exponential terms are identical, allowing for easier comparison of the exponents.
3.
FLASHCARD QUESTION
Front
How do you solve an exponential equation with the same base?
Back
Set the exponents equal to each other and solve for the variable.
4.
FLASHCARD QUESTION
Front
What is the base of 9 in terms of 3?
Back
9 can be rewritten as 3^2.
5.
FLASHCARD QUESTION
Front
What is the base of 27 in terms of 3?
Back
27 can be rewritten as 3^3.
6.
FLASHCARD QUESTION
Front
If 3^x = 27, what is x?
Back
x = 3.
7.
FLASHCARD QUESTION
Front
What is the first step in solving 9^(8-x) = 27^(x-3)?
Back
Rewrite both sides with the same base.
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