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Popular >

simplify ln(ABe^{-4})

Solution

simplify

ln (A B e^{- 4})

Solution

ln (A) + ln (B) - 4

Solution steps

ln (A B e^{- 4})

Apply log rule:

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

ln (A B e^{- 4}) = ln (A) + ln (B) + ln (e^{- 4})

= ln (A) + ln (B) + ln (e^{- 4})

Apply log rule:

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

ln (e^{- 4}) = - 4 ln (e)

= ln (A) + ln (B) - 4 ln (e)

4 ln (e) = 4

= ln (A) + ln (B) - 4

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Frequently Asked Questions (FAQ)

What is ln(ABe^{-4}) ?
The solution to ln(ABe^{-4}) is ln(A)+ln(B)-4