Solving Exponential Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What does it mean to solve an exponential equation?
Back
To solve an exponential equation means to find the value of the variable that makes the equation true, often by rewriting the equation in terms of the same base.
3.
FLASHCARD QUESTION
Front
How do you rewrite a number as a power of another number?
Back
To rewrite a number as a power of another number, express it in the form of base^exponent, where the base is the number you want to use and the exponent is determined by how many times the base must be multiplied to equal the original number.
4.
FLASHCARD QUESTION
Front
What is the base in an exponential function?
Back
The base in an exponential function is the constant 'b' in the expression f(x) = a * b^x, which determines the growth or decay rate of the function.
5.
FLASHCARD QUESTION
Front
What is the exponent in an exponential function?
Back
The exponent in an exponential function is the variable 'x' in the expression f(x) = a * b^x, which indicates how many times the base is multiplied by itself.
6.
FLASHCARD QUESTION
Front
How do you solve the equation 36 = 6^x?
Back
Rewrite 36 as 6^2, so the equation becomes 6^2 = 6^x. Therefore, x = 2.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 16^(2x) = 256^(2x + 5)?
Back
The solution is x = -5.
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