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Popular >

simplify ln(x/(e^v))

Solution

simplify

ln (\frac{x}{e ^{v}})

Solution

ln (x) - v

Solution steps

ln (\frac{x}{e ^{v}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{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(x/(e^v)) ?
The solution to ln(x/(e^v)) is ln(x)-v