Answer :
The equivalent expression for the given expression is [tex]log_2(\frac{x^3-4}{2})[/tex]
Logarithm expressions
These expressions are inverse of exponential functions. Given the log function below;
[tex]log_2(2x^3-8)-2log_2x[/tex]
This can be written as:
[tex]log_2(2x^3-8)-log_22^2\\log_2(\frac{2x^3-8}{4} )\\log_2(\frac{x^3-4}{2})[/tex]
Hence the equivalent expression for the given expression is [tex]log_2(\frac{x^3-4}{2})[/tex]
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