Only High IQ People Can Solve Harvard Exam Question!
Solve this Equation If You are Smart!

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Mathematics
Only High IQ People Can Solve Harvard Exam Question!
Solve this Equation If You are Smart!
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Your task is to solve this Harvard entrance exam problem!

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Solution
Method 1:




Multiply and divide the right sides by 3:


Compare Both Sides, we get:

Method 2:

Rearranging the above equation:

Divide both sides of the above equation by 3^x:

After simplification, we get:

Multiply both sides by -1, and we do some rearrangements:


Multiply ln 3 by both sides of the above equation:







We have used the following property in the above equation:

After using the above property, we get:

Apply Lambert W Function on both sides of the above equation:
Lambert W Function

After using the Lambert W Function, we get:




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