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Popular >

simplify ln((y-1)e^y)

Solution

simplify

ln ((y - 1) e^{y})

Solution

ln (y - 1) + y

Solution steps

ln ((y - 1) e^{y})

Apply log rule:

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

ln ((y - 1) e^{y}) = ln (y - 1) + ln (e^{y})

= ln (y - 1) + ln (e^{y})

Apply log rule:

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

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

= ln (y - 1) + y ln (e)

y ln (e) = y

= ln (y - 1) + y

Popular Examples

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simplify-log_{10}(6.33*10^{-5})simplify

- lo g_{10} (6.33 \cdot 1 0^{- 5})

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- lo g_{10} (8.6 \cdot 1 0^{- 8})

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2 lo g_{8} (z - 6) - 4 lo g_{8} (z + 2)

Frequently Asked Questions (FAQ)

What is ln((y-1)e^y) ?
The solution to ln((y-1)e^y) is ln(y-1)+y