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The solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared for the variable <em>x </em>is 8.
<h3>What is the exponent of log rule?</h3>The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
For example, let <em>k</em> is the number and <em>a </em>is the base. Thus,
The logarithmic equation given in the problem is,
Compare the equation with the expression of exponent of log rule, we get,
Thus, the solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared for the variable <em>x </em>is 8.
Learn more about the rules of logarithmic function here;