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Exponentials & Logarithms

Review question

How many real roots does $8^x+4=4^x+2^{x+2}$ have?
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Ref: R7606

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Question

The equation \[8^x+4=4^x+2^{x+2}\] has

no real solutions;
one real solution;
two real solutions;
three real solutions.

[A real solution is one that lies on the number line.]