Question

simplify.
e^{\ln x} =
e^{\ln 5} =
e^{\ln 3x}

Explanation:

Step1: Apply logarithm-exponent identity

Recall the identity $e^{\ln a} = a$ (since $e$ and $\ln$ are inverse functions).
For $e^{\ln x}$:
$e^{\ln x} = x$

Step2: Apply identity to second term

For $e^{\ln 5}$:
$e^{\ln 5} = 5$

Step3: Apply identity to third term

For $e^{\ln 3x}$:
$e^{\ln 3x} = 3x$

Answer:

$e^{\ln x} = x$
$e^{\ln 5} = 5$
$e^{\ln 3x} = 3x$