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Solving Exponential Equations with the 'Same' Base  Problem 6
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Using what we know about the bases of exponents, we can rewrite terms of an exponential equation using the same base in order to solve exponential equations. This method is useful because it doesn't require any logs. Errors come with being imprecise with the rules of exponents, such as exponents to a power. These can often be done using more than one base, like 2 or 4 or even 2 or 1/2 , but the final answer should always be verified in the original equation when you're done.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Sample Problems (6)
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Solving Exponential Equations with the 'Same' Base
Problem 1 9,633 viewsSolve:
7^{x − 1} = 49 
Solving Exponential Equations with the 'Same' Base
Problem 2 8,700 viewsSolve:
16^{x} = 8^{x − 1} 
Solving Exponential Equations with the 'Same' Base
Problem 3 7,779 viewsSolve:
( 1 )^{x} = 27² 9 
Solving Exponential Equations with the 'Same' Base
Problem 4 1,454 views 
Solving Exponential Equations with the 'Same' Base
Problem 5 1,466 views 
Solving Exponential Equations with the 'Same' Base
Problem 6 1,503 views
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