Use the equation, 8^2x = 32^x+3 , to complete the following problems.
(a) Rewrite the equation using the same base.
(b) Solve for x. Write your answer in the simplest form.
Side note: For your answers, I ask that you show your work so that I can review it and hopefully understand how to do this myself in the future!
(a) Rewrite the equation using the same base.
(b) Solve for x. Write your answer in the simplest form.
Side note: For your answers, I ask that you show your work so that I can review it and hopefully understand how to do this myself in the future!
Answer
5
(2 stars)
2
semsee45
2 years ago
2792 response - 0 helps
Answer:
Question (a)
Given equation:
8 can be written as
32 can be written as
Therefore, we can rewrite the equation with base 2:
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Question (b)
To solve:
Apply the exponent rule :
:
Subtract from both sides:
Is this 8^(2x) = 32^(x+3)?
Yup