Question

Which inverse property is valid only for \[x>0\]?

Options

• \[x=\log(e^x)\]

• \[x=\log x\]

• \[x=e^{\log x}\]

• \[x=e^{\frac{1}{x}}\]

Answer 1

The inverse property given for a positive value of \[x\] is \[x=e^{\log x}\]. It is valid only when \[x>0\], because \[\log x\] requires positive \[x\].