What is an exponential equation?
Solving Exponential Equations (using logs)

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An equation in which a variable appears in the exponent, typically in the form of a^x = b.
2.
FLASHCARD QUESTION
Front
How do you solve an exponential equation using logarithms?
Back
Take the logarithm of both sides of the equation to bring down the exponent, then solve for the variable.
3.
FLASHCARD QUESTION
Front
What is the logarithmic form of the equation a^x = b?
Back
x = log_a(b), where log_a is the logarithm base a.
4.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_a(b) = log_c(b) / log_c(a) for any positive c.
5.
FLASHCARD QUESTION
Front
What is the value of log_10(100)?
Back
2, because 10^2 = 100.
6.
FLASHCARD QUESTION
Front
What is the value of log_2(8)?
Back
3, because 2^3 = 8.
7.
FLASHCARD QUESTION
Front
If 2^x = 16, what is x?
Back
4, because 2^4 = 16.
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