Question

Change y=e^(-x^2) to x=

Answer 1

`\bf y=e^(-x^2)\impliedby \textit{let's take \underline{ln} to both sides}\\\\ -------------------------------\\\\ \textit{Logarithm Cancellation Rules}\\\\ log_{{ a}}{{ a}}^x\implies x\qquad \qquad {{ a}}^{log_{{ a}}x}=x\\\\ -------------------------------\\\\ ln(y)=ln(e^(-x^2))\iff log_e(y)=log_e(e^(-x^2))\implies log_e(y)=-x^2 \\\\\\ -ln(y)=x^2\implies √(-ln(y))=x`