Question

1. simplify the expression.

$7^{\log_{7}x} = \square$

Explanation:

Step1: Recall the logarithmic identity

The identity for a logarithm and an exponential function with the same base is \(a^{\log_{a}x}=x\) (where \(a>0,a
eq1,x > 0\)). In our case, \(a = 7\), so we can apply this identity.

Step2: Apply the identity

Given the expression \(7^{\log_{7}x}\), by using the identity \(a^{\log_{a}x}=x\) with \(a = 7\), we directly get the simplified form.

Answer:

\(x\)