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Popular >

simplify ln(xln(x/e))

Solution

simplify

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

Solution

ln (x) + ln (ln (\frac{x}{e}))

Solution steps

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

Apply log rule:

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

ln (x ln (\frac{x}{e})) = ln (x) + ln (ln (\frac{x}{e}))

= ln (x) + ln (ln (\frac{x}{e}))

Popular Examples

simplify-ln(10000)+3ln(5000-300)simplify

- ln (10000) + 3 ln (5000 - 300)

simplify ln((x^7)/(x^2-25))simplify

ln (\frac{x ^{7}}{x ^{2} - 25})

simplify-ln((x+1)/x)simplify

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

simplify-log_{10}(5.3*10^{-5})simplify

- lo g_{10} (5.3 \cdot 1 0^{- 5})

simplify-log_{10}(3.4*10^{-11})simplify

- lo g_{10} (3.4 \cdot 1 0^{- 11})

Frequently Asked Questions (FAQ)

What is ln(xln(x/e)) ?
The solution to ln(xln(x/e)) is ln(x)+ln(ln(x/e))