Solving Exponential Equations
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
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
How do you solve exponential equations with the same base?
Back
To solve exponential equations with the same base, set the exponents equal to each other and solve for the variable. For example, if 3^(3) = 3^(4x + 2), then set 3 = 4x + 2.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 3^(3) = 3^(4x + 2)?
Back
The first step is to set the exponents equal to each other: 3 = 4x + 2.
4.
FLASHCARD QUESTION
Front
What is the solution to the equation 3^(3) = 3^(4x + 2)?
Back
The solution is x = 1/4.
5.
FLASHCARD QUESTION
Front
How do you solve an exponential equation with a negative base?
Back
When solving an exponential equation with a negative base, ensure that both sides of the equation have the same base and that the exponents are equal. For example, in (-3)^x = (-3)^13, set x = 13.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation (-3)^x = (-3)^13?
Back
The solution is x = 13.
7.
FLASHCARD QUESTION
Front
How can you express 9^(8-x) in terms of base 3?
Back
9 can be expressed as 3^2, so 9^(8-x) = (3^2)^(8-x) = 3^(2(8-x)) = 3^(16 - 2x).
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