Solve Exponential Equations

Flashcard
•
Mathematics
•
11th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential equation?
Back
An exponential equation is an equation in which a variable appears in the exponent. For example, in the equation 2^x = 8, x is the variable in the exponent.
2.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay equation?
Back
The general form of an exponential decay equation is A(t) = A_0 * e^(-kt), where A_0 is the initial amount, k is the decay constant, and t is time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you solve the equation 7^(-x) = 49?
Back
To solve 7^(-x) = 49, rewrite 49 as 7^2. Thus, -x = 2, leading to x = -2.
4.
FLASHCARD QUESTION
Front
What is the value of 2^x when x = 3?
Back
When x = 3, 2^x = 2^3 = 8.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
How do you rewrite the number 8 as a power of 2?
Back
8 can be rewritten as 2^3.
Tags
CCSS.6.EE.A.1
6.
FLASHCARD QUESTION
Front
What is the property of exponents that states a^m * a^n = a^(m+n)?
Back
This property is known as the Product of Powers Property.
Tags
CCSS.8.EE.A.1
7.
FLASHCARD QUESTION
Front
How do you solve the equation 2^x = 4^(x+1)?
Back
Rewrite 4 as 2^2, so the equation becomes 2^x = (2^2)^(x+1) = 2^(2x + 2). Set the exponents equal: x = 2x + 2, leading to x = -2.
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