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Popular >

simplify ln(xe^v)

Solution

simplify

ln (x e^{v})

Solution

ln (x) + v

Solution steps

ln (x e^{v})

Apply log rule:

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

ln (x e^{v}) = ln (x) + ln (e^{v})

= ln (x) + ln (e^{v})

Apply log rule:

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

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

= ln (x) + v ln (e)

v ln (e) = v

= ln (x) + v

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Frequently Asked Questions (FAQ)

What is ln(xe^v) ?
The solution to ln(xe^v) is ln(x)+v