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Popular >

simplify ln(b*e^{-2})

Solution

simplify

ln (b \cdot e^{- 2})

Solution

ln (b) - 2

Solution steps

ln (b e^{- 2})

Apply log rule:

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

ln (b e^{- 2}) = ln (b) + ln (e^{- 2})

= ln (b) + ln (e^{- 2})

Apply log rule:

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

ln (e^{- 2}) = - 2 ln (e)

= ln (b) - 2 ln (e)

2 ln (e) = 2

= ln (b) - 2

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Frequently Asked Questions (FAQ)

What is ln(b*e^{-2}) ?
The solution to ln(b*e^{-2}) is ln(b)-2