Question
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What is the solution to

Ask by Norton Robbins. in the United States
Dec 14,2024

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Tutor-Verified Answer

Answer

The solution is .

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Beyond the Answer

To solve the equation , we can start by simplifying it.
First, recall the property of logarithms that states . Therefore, we can rewrite the left side:
Now, the equation becomes:
Since the logarithms are equal, we can set the arguments equal to each other (assuming ):
Multiplying both sides by (and assuming ) gives us:
Now, rearranging the equation:
Factoring gives:
The quadratic has no real solutions, as its discriminant . Therefore, the only real solution is .
Let’s verify:
If :
The solution to the equation is .

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