# Thread: What is this logarithmic/exponential rule?

1. ## What is this logarithmic/exponential rule?

Apparently , the following can happen?

x^(sinx) = e ^ (sinxln(x))

Why is this possible? I'm am unaware of this rule :c

However i do know that if i take ln(x^(sinx)) , i get sin(x) * ln(x) which is equal to e ^ (sinxln(x))

2. ## Re: What is this logarithmic/exponential rule?

$x = e^{\ln{x}} \implies x^{\sin{x}} = (e^{\ln{x}})^{\sin{x}}$