Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

TGM Original Questions

Let \(\log_{2}{x} + \log_{4}{x} + \log_{8}{x} + \dots + \log_{1024}{x} = 11\)
Find the exact value of \(x\).

Solution:

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Answer:\(x=2^{\frac{27720}{7381}}\)

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