Question

evaluate the expression.
$9^{\log_{9} 2} = \square$

Explanation:

Step1: Recall the logarithmic identity

The identity for an exponential function with the same base as the logarithm is \( a^{\log_a x}=x \), where \( a>0,a
eq1 \) and \( x>0 \).

Step2: Apply the identity to the given expression

In the given expression \( 9^{\log_9 2} \), we have \( a = 9 \) and \( x = 2 \). By applying the identity \( a^{\log_a x}=x \), we get \( 9^{\log_9 2}=2 \).

Answer:

\( 2 \)