Exponential and Logarithmic Functions - Solving Logarithm Equations

Exponential and Logarithmic Functions - Solving Logarithm Equations

TGM Original Questions

Solve the equation \( \log_{8}{x} + \frac{2}{\log_{x}{4}} = ( \log_{2}{x})^2 \) leaving your answer in simplest exact form.

Solution:

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Answer:\(x=2^{\frac43}\).

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