What is simplify-ln(x^{1/x})+ln(c) ?

The solution to simplify-ln(x^{1/x})+ln(c) is ln(c/(x^{1/x)})

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simplify-ln(x^{1/x})+ln(c)

simplify

- ln (x^{\frac{1}{x}}) + ln (c)

ln (\frac{c}{x ^{\frac{1}{x}}})

Solution steps

- ln (x^{\frac{1}{x}}) + ln (c)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (c) - ln (x^{\frac{1}{x}}) = ln (\frac{c}{x ^{\frac{1}{x}}})

= ln (\frac{c}{x ^{\frac{1}{x}}})

ln (\frac{x}{e ^{v}})

lo g_{10} (\frac{3 x}{y})

ln (1 + x) - ln (\frac{1 + x}{x})

ln (c) + ln (c + x)

lo g_{w} (7 e)

What is simplify-ln(x^{1/x})+ln(c) ?
The solution to simplify-ln(x^{1/x})+ln(c) is ln(c/(x^{1/x)})