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Popular >

simplify ln(-xe^{5x-1})

Solution

simplify

ln (- x e^{5 x - 1})

Solution

ln (x) + 5 x - 1

Solution steps

ln (- x e^{5 x - 1})

Apply log rule:

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

ln (- x e^{5 x - 1}) = ln (x) + ln (e^{5 x - 1})

= ln (x) + ln (e^{5 x - 1})

Apply log rule:

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

ln (e^{5 x - 1}) = (5 x - 1) ln (e)

= ln (x) + (5 x - 1) ln (e)

(5 x - 1) ln (e) = 5 x - 1

= ln (x) + 5 x - 1

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Frequently Asked Questions (FAQ)

What is ln(-xe^{5x-1}) ?
The solution to ln(-xe^{5x-1}) is ln(x)+5x-1