What is ln(e^x(sqrt(x))/(\sqrt[4]{x)}) ?

The solution to ln(e^x(sqrt(x))/(\sqrt[4]{x)}) is xln(e)++ln(sqrt(x))-ln(\sqrt[4]{x})

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simplify ln(e^x(sqrt(x))/(\sqrt[4]{x)})

simplify

Solution steps

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{x}) = x ln (e)

Apply log rule:

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

ln (ln (a + b) + ln (a - b) - 8 ln (c))

- \frac{1}{5} lo g_{3} (2)

ln (\frac{x - 2}{x + 2})

lo g_{2} (2 x) - 2 lo g_{2} (y) + lo g_{2} (z)

5 ln (\frac{6.5}{6})

What is ln(e^x(sqrt(x))/(\sqrt[4]{x)}) ?
The solution to ln(e^x(sqrt(x))/(\sqrt[4]{x)}) is xln(e)++ln(sqrt(x))-ln(\sqrt[4]{x})