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8. simplify the expression. (\frac{1}{7}log_{2}x = square)

Question

  1. simplify the expression.

(\frac{1}{7}log_{2}x = square)

Explanation:

Step1: Recall logarithm inverse property

The inverse property of logarithms states that for any positive real number $a
eq 1$, $a^{\log_{a}x} = x$ (where $x>0$). Here, $a=7$, so this property applies directly.

Step2: Apply the property to the expression

Substitute $a=7$ into the inverse property:
$7^{\log_{7}x} = x$

Answer:

$x$