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Popular >

simplify ln(e/x)

Solution

simplify

ln (\frac{e}{x})

Solution

1 - ln (x)

Solution steps

ln (\frac{e}{x})

Apply log rule:

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

ln (\frac{e}{x}) = ln (e) - ln (x)

= ln (e) - ln (x)

Apply log rule:

lo g_{a} (a) = 1

= 1 - ln (x)

Popular Examples

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lo g_{4} (5 x^{2})

simplify log_{4}(x)-log_{4}(y)simplify

lo g_{4} (x) - lo g_{4} (y)

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ln (\frac{7}{4})

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2 ln (\frac{5}{3})

simplify log_{4}(x^2-36)-4log_{4}(x+6)simplify

lo g_{4} (x^{2} - 36) - 4 lo g_{4} (x + 6)

Frequently Asked Questions (FAQ)

What is ln(e/x) ?
The solution to ln(e/x) is 1-ln(x)